vector r with rightwards harpoon with barb upwards on top has a magnitude of 10 meters and is directed at an angle of 45 degrees above the positive x-axis. what are the components rx and ry?

Answers

Answer 1

The components of vector r can be calculated as Rx = 10cos45° = 7.07 meters, and Ry = 10sin45° = 7.07 meters.

What is vector?

Vector is a mathematical object that has both magnitude and direction. It can be used to represent physical quantities such as velocity, force, acceleration, and more. Vector calculus is used to study and analyze vector fields, which are collections of vectors that each have a location and a magnitude. Vector notation is used to express vectors in concise mathematical equations.

The components of vector r along the x-axis and y-axis are given by Rx = 10cosθ and Ry = 10sinθ.
Therefore, the components of vector r can be calculated as Rx = 10cos45° = 7.07 meters, and Ry = 10sin45° = 7.07 meters.
Hence, the components of vector r with a magnitude of 10 meters and directed at an angle of 45 degrees above the positive x-axis are Rx = 7.07 meters and Ry = 7.07 meters.

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Related Questions

When the ball reaches its maximum height Which of the following becomes zero?

Answers

When the ball reaches its maximum height, velocity will becomes zero. The velocity of an object can be positive, negative, or zero.

The ball is at the highest point of its trajectory and has momentarily stopped moving upward, but has not yet begun moving downward. The ball is momentarily at rest, thus it has zero velocity at that instant. Velocity is a vector quantity and it represents the rate of change of displacement. At the maximum height, the displacement changes from upward to downward direction. Therefore, the velocity of the ball becomes zero at the maximum height. The velocity of the object at maximum height is zero because the object is at rest at that point. At this point, the net force acting on the object is zero, and the object is not moving in any direction. The object is momentarily at rest, thus it has zero velocity at that instant.

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Small frogs that are good jumpers are capable of remarkable accelerations. One species reaches a takeoff speed of3. 7 m/s in60 ms.

Answers

The acceleration of the frog when it started from rest is 61.67 m/s^2.

The frog starts from rest. So, the initial speed is

U=0m/s

And the final velocity is

V= 3.7m/s

And the time taken by the frog to do this is

t=60ms

So, the acceleration of the frog is

a=v-u/t

a= 61.67 m/s^2

Although the ability to plot a graph accurately is important, it is absolutely essential to be able to interpret graphs and to visualise the shape of a graph for a given motion.

For an object that is stationary, the displacement–time, velocity–time and acceleration–time graphs

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Please help on all the questions I will post 50 points each

Answers

Answer:

The answer is 294 J

Answer:

294 j

Explanation:

An enclosed gas has a volume of 1.64L at 1.22atm pressure and a temperature of 50°C . A fellow classmate calculates that the volume of the gas at 2.44atm and a temperature of 100°C remains the same because the pressure and temperature are both doubled, which have opposing effects on the volume. Evaluate your classmate's response. Are they correct? If not, calculate the correct volume of the gas at 2.44atm and 100°C.

Answers

They are not correct. The correct volume of the gas at 2.44 atm and 100 °C is 0.95 L

How do I determine the correct volume of the gas?

To know if your classmates are correct or not, we shall determine volume.

We can calculate the volume of the gas by using the combined gas equation as shown below:

Initial volume (V₁) = 1.64 LInitial pressure (P₁) = 1.22 atmInitial temperature (T₁) = 50 °C = 50 + 273 = 323 KNew pressure (P₂) = 2.44 atm New temperature (T₂) = 100 °C = 100 + 273 = 373 KNew volume (V₂) =?

P₁V₁ / T₁ = P₂V₂ / T₂

(1.22 × 1.64) / 323 = (2.44 × V₂) / 373

Cross multiply

323 × 2.44 × V₂ = 1.22 × 1.64 × 373

Divide both side by (323 × 2.44)

V₂ = (1.22 × 1.64 × 373) / (323 × 2.44)

V₂ = 0.95 L

We can see from the above calculation that the volume of gas at 2.44 atm and 100 °C is 0.95 L.

Thus, your classmates are not correct.

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which two interactions between x-radiation and matter may result in the production of small-angle scatter? group of answer choices photoelectric absorption and compton scattering coherent scattering and compton scattering photoelectric absorption and pair production coherent scattering and pair production

Answers

Coherent scattering and compton scattering may result in the production of small-angle scatter.

Compton scattering is a type of scattering that occurs when a photon interacts with an atom or molecule and loses some of its energy to an electron. This results in the photon being scattered at a smaller angle and the electron being excited to a higher energy level.

Coherent scattering, also known as Rayleigh scattering, occurs when a photon interacts with an atom or molecule and is scattered in the forward direction. This type of scattering is characterized by a very small angle of scattering and is responsible for the blue color of the sky. Both Compton scattering and coherent scattering can result in small-angle scatter of x-radiation.

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Your question seems incomplete, but I assume the question was:

"which two interactions between x-radiation and matter may result in the production of small-angle scatter?

(group of answer choices)

photoelectric absorption and compton scattering

coherent scattering and compton scattering

photoelectric absorption and pair production

coherent scattering and pair production."

for a spacecraft going from the earth toward the sun, at what distance from the earth will the gravitational forces due to the sun and the earth cancel?

Answers

For a spacecraft going from the earth toward the sun, at no point of distance from the earth will the gravitational forces due to the sun and the earth cancel due to The Sun is being drawn toward the Earth by its  gravitational pull.

What is  gravitational force?

All physical things with mass are drawn to the gravitational force, which can be thought of as an attracting force. Gravitational force is the known natural force that is by far considered the weakest.

The gravitational force is what pulls objects with mass in the same direction. The gravitational attraction of the Earth is something we often think about. Gravity, however, draws all mass-bearing objects in the same direction.

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1. What is absolute zero?(1 point)
Zero on any temperature scale.
The coldest achievable temperature for a given substance.
The temperature of outer space.
The point at which particle motion completely stops.

2. If hydrogen could be held at absolute zero, what would its form be?(1 point)
Liquid
Superfluid
Solid
Gas

3. As researchers cool a substance close to absolute zero, what happens?(1 point)
The work needed to cool it further decreases, becoming easier.
The work needed to cool it further falls to zero.
The work needed to cool it further increases.
Work is done on the environment by the substance.

4. Why can’t absolute zero be achieved?(1 point)
Technology isn’t capable of it yet.
Supercold superfluids have no friction.
We can’t describe an absolute value of cold.
It would require infinite work done on the substance.

Answers

Absolute zero is the temperature at which the atoms in an object stop moving and thus cannot get any colder.

What is the form of hydrogen at absolute zero?The Dihydrogen or Hydrogen molecule (H2) contains 75% Ortho and 25% Para hydrogen at room temperature. The percentage of ortho hydrogen decreases as temperature decreases, while the percentage of para hydrogen increases. So, at 0Kor absolute zero, only para-hydrogen exists.All motion comes to a halt at absolute zero. A lower temperature is obviously not possible because there is no velocity less than zero and no energy content less than nothing.Absolute zero is unattainable. The reason has to do with the amount of work required to remove heat from a substance, which increases significantly as you try to go colder. It would take an infinite amount of effort to reach zero kelvins.

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I need help on this!! Please someone who knows this answer it with explanation!

Answers

(a) The time spent in the air by the ball is 4.02 s.

(b) The horizontal distance travelled by the ball is 140.7 m

What is the time of motion of the ball?

The time of motion of the ball is calculated by applying the following equation.

t = √ ( 2h / g )

where;

h is the height of fall of the ballg is acceleration due to gravity

t = √ ( 2 x 79 / 9.8 )

t = 4.02 s

The horizontal distance travelled by the ball is calculated as follows;

d = vt

where;

v is the horizontal velocity of the ballt is the time of motion of the ball

d = 35 m/s x 4.02 s

d = 140.7 m

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A good leader will have followers who ______. a. are willing to comply with commands b. must be forced to comply with commands c. use lack of compliance to enforce their will d. are focused on their own goals please select the best answer from the choices provided a b c d

Answers

A competent leader will have followers who are ready to do as they are told.so the answers is A.

Who is an effective leader?b. must be forced to comply with commands. This is not a desirable trait for a leader, as it implies that the followers do not trust or respect the leader and must be coerced into following their commands.c. use lack of compliance to enforce their will. This is also not a desirable trait, as it implies that the followers do not respect the leader's authority and may actively resist or undermine their commands.d. are focused on their own goals. This is not an ideal trait for a leader, as it implies that the followers are not aligned with the leader's vision and may not be working towards the same objectives.Therefore, the best answer is a. are willing to comply with commands. A leader with followers who willingly comply with commands is a leader who has been able to gain the trust and respect of their followers, which is an important trait for a leader.

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You're in an airplane that flies horizontally with speed 1100 km/h (300 m/s ) when an engine falls off. Neglecting air resistance, assume it takes 27 s for the engine to hit the ground. Find the height. Find the horizontal distance. If the airplane somehow continues to fly as if nothing had happened, what is the distance between the engine and the airplane at the moment the engine hits the ground?

Answers

The horizontal distance is R = 8100 m.

What are Newton's first, second, and third laws of motion?

According to the first law, a force must be applied to an object before it may affect its motion. According to the second law, an object experiences a force equal to its mass times its acceleration. According to the third law, when two things interact, they exert forces on one another that are both equal in strength and directed in the opposite direction.

To find the height of the plane from ground :

H = ut + (1/2)gt²

Where

initial velocity ,u = 0 m/s,

t = time = 27 s,

acceleration due to gravity ,g = 10 m/s²

H = 0*(27) + (1/2)*(10)*(27)²

H = 3645 m = 3.6 km

The horizontal distance (R) :

R = ut

R = 300*(27)

R = 8100 m

If d represent the distance from the engine to the air plane at the ground, hence:

d² = 8100² + 3645²

d = 7233 m

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I have two charges of +4 x 10-5 C. If they are 0. 5 m apart, what is the electric force between them?

Answers

Coulomb's law, states that the force between two charges is proportional to the product of the charges and inversely proportional to the square of the distance between them, can be used to compute the electric force.

The equation is: F = k * (q1 * q2) / r^2

where F is the electric force, k is Coulomb's constant (9 x 10^9 N * m^2 / C^2), q1 and q2 are the charges, and r is the distance between them. So, in this case, the electric force between the two charges of +4 x 10^-5 C would be:

F = (9 x 10^9 N * m^2 / C^2) * ((+4 x 10^-5 C) * (+4 x 10^-5 C)) / (0.5 m)^2

F = (9 x 10^9 N * m^2 / C^2) * (16 x 10^-10 C^2) / (0.5 m)^2

F = (9 x 10^9 N * m^2 / C^2) * (16 x 10^-10 C^2) / (0.25 m^2)

F = 36 x 10^9 N. So the force between the two charges is 36 x 10^9 N.

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When an object is placed in front of a concave mirror at a distance 60 cm, an image is

obtained on a the same side at a distance of 40 cm from the mirror.

a) Write the values of u and v according to New cartesian sign convention.

b) Find the focal length of the mirror.

c) Find the magnification.

Answers

For an object placed before a concave mirror:

a) u and v value = -60 cm and -40 cm respectively.

b) -24 cm

c) 2/3.

What is the distance from concave mirror?

a) According to the New Cartesian sign convention, the object distance (u) is -60 cm and the image distance (v) is -40 cm.

b) To find the focal length of the mirror, we can use the lens equation: 1/f = 1/u + 1/v. Substituting the values for u and v, we get: 1/f = 1/-60 + 1/-40 = -1/60 + 3/120 = -1/60 + 1/40 = -1/24 cm. Therefore, the focal length of the mirror is -24 cm.

c) To find the magnification, we use the formula: Magnification (M) = -v/u. Substituting the values for u and v, we get: M = -(-40)/(-60) = 2/3. Therefore, the magnification of the image is 2/3.

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assuming a typical efficiency for energy use by the body, if a 75 kg person were to use the energy in this candy bar to climb stairs, how high could she go?

Answers

The person can go high up to 685.71 m. The principle of energy conservation is applied in this question. First , use the term of efficiency to estimate the available energy. Finally, use energy conservation to calculate the person's height.

What is potential energy?

The following formula can be used to calculate an object's potential energy.

            PE = mgh

Here, m denotes mass, g denotes gravitational acceleration, and h denotes body height.

Step 1:

The average efficiency of energy utilised by the body is 25%. As a result, climbing the stairs consumes 25% of the person's entire energy. The following formula is used to determine available energy:

           E' = E(25/100)

In the above equation, replace E with 480 Cal.

           E' = (480 Cal) (25/100) ((4.2 * 10^3 J)/1 Cal)

               = 504 * 10^3 J

Step 2:

The body's initial energy is the energy needed to execute the task. The following is the initial energy:

            TE = E'

Substitute 504 * 10^3 J in the above equation.

            TE = 504 * 10^3 J

The available energy is used to complete the task of climbing the steps. As a result, the starting energy equals the end energy.

Replace mgh with TE in the above expression and find the height h.

           mgh = 504 * 10^3 J

            h = (504 * 10^3 J)/mg

Substitute 75 kg for m and 9.8 m/s^2 for g in the above expression.

            h = (504 * 10^3 J)/(75 kg)*(9.8m/s^2)

               = 685.71 m.

Thus, the height covered by the person is 685.71 m.

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Select the ways in which you can induce current in a wire. Multiple answers are correct. Select all that apply.

A. Move the wire through a magnetic field.

B. Connect the wire to a voltage source.

C. Coiling the wire around a permanent magnet.

D. Leave the wire out in the sun.

Answers

Answer:

С.Coiling the wire around a permanent magnet.

Measure the initial force (in Newton) needed to get the brick going, as well as the force needed to keep it going smoothly once it started moving.
The brick has a string tied around it. Which is used to love the brick.

Answers

The initial force needed to get the brick going will depend on the weight of the brick and the friction between the brick and the surface it is on. Assuming the brick is made of concrete and weighs 8 kg, and the friction between the brick and the surface is 0.4, the initial force needed to get the brick going would be 32 N.

What is the force ?

Force is a term used to describe any physical action that can cause a change in motion, direction, shape, or energy of an object. It is a fundamental concept in physics, and can be seen in both everyday examples and in more complex phenomena. Examples of everyday forces include the force of gravity, which keeps us on the ground, and the force exerted when pushing or pulling an object. More complex forces, such as the force of magnetism, explain how atoms and particles interact with each other and influence the behavior of larger objects. Ultimately, all forces are the result of interactions between particles, and the behavior of these forces can be studied through the field of physics.

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Why are seatbelts important in a car? What other precautions can be taken to reduce the impact of an accident?

Answers

Answer:

Explanation:

Seatbelts are essential in a car because they serve to hold the vehicle's passengers firmly in their seats during a collision. This reduces the danger of serious injury or death by protecting people from being flung from the vehicle or colliding with hard objects inside the vehicle.

In addition to wearing seatbelts, the following steps can be done to lessen the severity of an accident:

1. Airbags: In modern automobiles, airbags release following a collision to absorb the impact and prevent the occupants from hitting hard objects within the vehicle.

2. Kid safety seats: Children should be properly strapped in a child safety seat that is age and size appropriate.

3. Headrests: Properly positioned headrests can help lessen the risk of whiplash injuries in the event of an accident.

4. Avoiding distractions: One of the primary causes of accidents is distracted driving. Avoiding distractions while driving, such as using a mobile phone, eating, or applying make-up, can assist to lower the chance of an accident.

5. Regular car maintenance, such as regular servicing, tyre pressure checks, and brake checks, may assist to ensure that the vehicle is in excellent condition and lower the danger of an accident.

6. Avoiding aggressive driving: Speeding, tailgating, and making rapid lane changes all raise the chance of an accident.

7. Following traffic rules, such as respecting speed limits, traffic signs, and signals, as well as maintaining a safe distance from other cars, can assist to lessen the likelihood of an accident.

a 2.2 kg object is whirled in a vertical circle whose radius is 1.0 m. if the time of one revolution is 0.97 s, what is the tension in the string (assume uniform speed)

Answers

The tension in the string at the top is calculated to be 71 N and at the bottom of the string is calculated to be 1.1 × 10⁻² N.

F cent = F g + F t

where, F cent is centripetal force

F g is the gravitational force

The tension force is denoted by F t

F t = F cent - F g = (4π² R m)/T² - m g

where,

R is the radius

m is the mass

T is the time taken for one revolution

g is the acceleration due to gravity

On substituting the values,

F t = (4 × 3.14²×1)/0.97² - 2.2× 9.8 = 70.7259 N ≈ 71 N

At the bottom of the string is,

F cent = -F g + F t

F t = F cent + F g = (4 π² R m)/T² + m g = (4 × 3.14²×1)/0.97² + (2.2× 9.8) =  113.8899 N = 1.1 × 10⁻² N

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What happens when you swing a pendulum?

Answers

When you swing the pendulum, there will be an exchange of kinetic and potential energy.

A pendulum is an object attached to a string and can swing freely and periodically. When the pendulum is swinging, there will be a constant exchange of energy. The exchange of kinetic energy and gravitational potential energy occurs in every vibration. The mechanical energy involved in this action helps maintain the pendulum's constant period. The time it takes for the pendulum to swing back to its original position is called the pendulum's period. The period of the pendulum depends on the force of gravity and the length of the pendulum.

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The top of the syringe is a circle. You need to

compute its area for use in later computations of

pressure values. Start by using a ruler to

measure the diameter. Estimate to the nearest

0. 01 cm. ?cm

Answers

The syringe's circle measures 10.17 cm² in size.

Concept • The circle's radius, or r, determines its area, which is equal to twice its diameter, or r.

The region encircled by a circle with radius r is known as r2 in geometry. Here, the Greek letter stands for the constant proportion of a circle's circumference to its diameter, which is roughly equivalent to 3.14159.

Since the base area is known, the volume can be determined by dividing the base area by the height. *Remember that volume is expressed in cubic units.

We must determine the circle's surface area given its diameter, 1.80 cm, and radius.

The formula πr² can be used to get the circle's area.

Change the formula's value for r.

Circle area is equal to r12 3.14 1.80 1.80, or 10.17 cm2.

Consequently, the Circle's area is 10.17 cm².

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Complete Question -

The top of the syringe is a circle. You need to

compute its area for use in later computations of

pressure values. Start by using a ruler to measure

the diameter. Estimate to the nearest 0.01 cm.

3.60

cm

COMPLETE

Divide by two to find the radius. Maintain

significant figures. 1.80

✓ cm

MM

CM

1

2

3

4

5

According to newton's second law, if a 30 n net force is applied to an object with a mass of 60 kg, what will be its resulting acceleration?.

Answers

If a 30N net force is applied to an object with a mass of 60 kg, the net acceleration will be 0.5 m/s².

In mechanics, acceleration is the rate of change of the velocity of an object with respect to time.

F = m x a

30N = 60kg x a

a = [tex]\frac{30N}{60Kg}[/tex]

a = 0.5 m/s²

Accelerations are vector quantities (in that they have magnitude and direction). The orientation of an object's acceleration is given by the orientation of the net force acting on that object. the acceleration is when the velocity of object and car increases time by time. acceleration can be positive and negative depending on the application. The magnitude of an object's acceleration, as described by Newton's Second Law, is the combined effect of two causes. by this information and the given data, we can calculate that if a 30N net force is applied to an object with a mass of 60 kg, the net acceleration will be 0.5 m/s².

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about how much of the solar energy that reaches earth’s atmosphere is absorbed by the atmosphere?

Answers

Approximately 70% of the solar energy that reaches Earth's atmosphere is absorbed by the atmosphere.

What proportion of solar energy actually reaches the planet?

The Earth receives a continuous solar energy input of 173,000 terawatts (trillions of watts). That is more than 10,000 times what the entire world uses in terms of energy. And that energy is endlessly replenishable, at least as long as the sun exists.

Overall, the atmosphere and the Earth's surface absorb about 70% of incoming radiation, while about 30% is reflected back to space and does not heat the surface. Considering that the Earth is colder than the Sun, it radiates energy at wavelengths that are much longer.

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if you want to measure the electric potential difference, which cables will you use to connect to a multimeter, and where will you plug them in?

Answers

The cable that should be connected to a multimeter in order to measure the electric potential different are two banana cables, the black probe should be plugged into the COM and the red probe into the port marked VΩmA.

The black end of the probe is connected into the COM socket. All meters use this as standard. The red probe lead is plugged into a socket labeled VΩmA, which can be used to measure voltage, resistance, or microamperes. If the socket doesn't say "mA" as described above, there will be one or more separate sockets where the red probe lead can be connected to measure current. The maximum current range for these sockets will be indicated with a "A" or "mA" marking.

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Water is being sprayed from a nozzle at the end of a garden hose of diameter 2. 5 cm. If the nozzle has an opening of diameter 1. 0 cm, and if the water leaves the nozzle at a speed of 14 m/s, what is the speed of the water inside the hose?.

Answers

The speed of the water inside a garden hose is 12.6 m.

If the nozzle has an opening of diameter 1.0 cm and the water is leaving the nozzle at a speed of 14 m/s, then the speed of the water inside the hose can be calculated.

To find the speed of the water inside the hose, the Bernoulli equation can be used. The Bernoulli equation states that for an ideal, inviscid flow:

P1/ρ + (V1^2)/2 + gz1 = P2/ρ + (V2^2)/2 + gz2

The speed of the water inside the hose is Where P1 and P2 are the pressures at 1 and 2, V1 and V2 are the velocities at 1 and 2, g is the acceleration due to gravity, and z1 and z2 are the heights at 1 and 2.

The pressure inside the hose will remain constant, so the Bernoulli equation can be simplified to:

(V1^2)/2 = (V2^2)/2

The velocity of the water inside the hose can then be calculated by rearranging the equation:

V2 = √(V1^2 - 2g (z1 - z2))

Therefore, the speed of the water inside the hose can be calculated by substituting in the known values for V1, g, z1, and z2.

Using the given values, the speed of the water inside the hose is calculated to be 12.6 m/s.

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5.0 kg particle with a velocity of 3.0 m/s collides with a 10 kg particle that has a velocity of 2.0 m/s in the same direction. after the collision, the 10 kg particle is observed to be traveling in the original direction with a speed of 4.0 m/s. (a) calculate the velocity of the 5.0 kg particle immediately after the collision. (b) by how much does the total kinetic energy of the system of two particles change because of the collision? (c) how might you account for your answer in b)?

Answers

The velocity of the 5kg particle immediately after collision is -1m/s, the total kinetic energy of the system of the two particles change by -40 joules and the additional kinetic energy can be gained by using some external material.

Kinetic energy is the energy stored in the object by virtue of its motion and its unit is Joule. Momentum is defined as the product of mass and velocity of the particle. To calculate the velocity of the particle after collision, we first equate the values in the formula of conservation of momentum which is given as:

[tex]m1v1 + m2v2 = M1V1 +M2V2[/tex] ...(1)

m1, v1 = mass and velocity of object of mass 5kg (before collision)

m2, v2 = mass and velocity of object of mass 10kg (before collision)

M1, V1 = mass and velocity of object of mass 5kg (after collision)

M2, V2 = mass and velocity of object of mass 10kg (after collision)

Putting values in equation 1, we get:

5(3) + 10(2) = 5(V1) + 10(4)

5V1 = -5, ∴ V1 = -1 m/s

To calculate change in kinetic energy, we equate as follows:

[tex]Ki - Kf = 1/2(m1v1^2) + 1/2(m2v2^2) - 1/2(M1V1^2) - 1/2(M2V2^2)[/tex] ...(2)

Putting values in equation (2), we get:

Ki -Kf =  1/2(5×3^2) + 1/2(10×2^2)  1/2(5×1^2) + 1/2(10×4^2)

Change in K.E. = -40Joules

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Any vector can be written as a unit vector multiplied by the magnitude of the vector (a positive scalar). Write each of the following vectors as the magnitude of the vector times the appropriate unit vector. Input the magnitude to the left (in the parenthesis) and the unit vector to the right.

Answers

The following vectors are calculated by multiplying the vector's magnitude by the relevant unit vector:

The vector [tex]$\vec{A}$[/tex] would be [tex]$- < \mathbf{0 . 7 0 8}, \mathbf{0}, \mathbf{- 0 . 7 0 8} > * 4.66 * 10^{-3}$[/tex]

The vector, [tex]$\vec{B}=\left\langle 0,-1,0 > ^* 676\right.$[/tex]

The vector, [tex]\vec{C}=\left\langle 0.707,0,-0.707 > * 4.47 * 10^2\right.[/tex]

As per the data provided in the above question are a bellow,

The basic vector looks like this:

[tex]$$\vec{A}=(\mathrm{a}, \mathrm{b}, \mathrm{c}) \ldots . .1$$[/tex]

the magnitude [tex]$|\vec{A}|$[/tex] can be obtained as :

[tex]$$|\vec{A}|=\sqrt{a^2+b^2+c^2} \ldots . .2$$[/tex]

This could be the unit vector:

[tex]$$\hat{u}_A=\frac{\vec{A}}{|\vec{A}|_{\ldots \ldots .3}}$$[/tex]

a) (0.00330, 0 , -0.00330)

Thus,

=(0.00330, 0 , -0.00330)

Using equation two to calculate this magnitude:

[tex]$$|\vec{A}|=\sqrt{0.00330^2+0^2+(-0.00330)^2}=4.66 * 10^{-3}$$[/tex]

This could be the unit vector:

[tex]\hat{u}_A & =\frac{\vec{A}}{|\vec{A}|} \\\hat{u}_A & =\left\langle\frac{0.00330}{4.66 * 10^{-3}}, \frac{0}{4.66 * 10^{-3}}, \frac{-0.00330}{4.66 * 10^{-3}} > \right. \\\hat{u}_A & = < 708,0,-708 >[/tex]

Thus, the vector [tex]$\vec{A}$[/tex] would be [tex]$- < \mathbf{0 . 7 0 8}, \mathbf{0}, \mathbf{- 0 . 7 0 8} > * 4.66 * 10^{-3}$[/tex]

B)(0 , -676, 0)

Solving similar problems to A),

The vector,

[tex]$|\vec{B}|=\sqrt{0^2+-676^2+0^2}=676$[/tex]

This could be the unit vector:

[tex]& \hat{u}_B=\frac{\vec{B}}{|\vec{B}|} \\& \hat{u}_B=\left\langle\frac{0}{676}, \frac{-676}{676}, \frac{0}{676}\right\rangle[/tex]

And the vector,

[tex]$\vec{B}=\left\langle 0,-1,0 > ^* 676\right.$[/tex]

C) (0.00316 , 0 , -0.00316)

When we attempt the third vector, we will obtain magnitude:

[tex]$$|\vec{C}|=\sqrt{0.00316^2+0^2+(-0.00316)^2}=* 4.47 * 10^{-3}$$[/tex]

Then,

[tex]& \hat{u}_C=\frac{\vec{C}}{|\vec{C}|} \\& \hat{u}_C=\left\langle\frac{0.00316}{4.47 * 10^2}, \frac{0}{4.47 * 10^2}, \frac{0.00316}{4.47 * 10^2}\right\rangle[/tex]

And the vector,

[tex]\vec{C}=\left\langle 0.707,0,-0.707 > * 4.47 * 10^2\right.[/tex]

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"A bicyclist starts from rest and accelerates along a straight path to a speed of 12.15 m/s in a time of 4.5 seconds. What is the bicyclist’s acceleration in m/s2?A. .37B. 54.7C. 2.7D. 6.8"

Answers

The bicyclist's acceleration is 2.7 m/s². Thus, Option C is the answer

Acceleration is defined as rate of change of velocity with time. Its formula is

a= [tex]\frac{vf - vi}{t}[/tex]

acceleration = (final velocity - initial velocity) / time

The bicyclist's acceleration can be found using this equation:

In this case,

final velocity = 12.15 m/s

initial velocity is 0 m/s (since the bicyclist starts from rest)

time = 4.5 s

Plugging these values into the equation, we get:

a =[tex]\frac{12.5 - 0}{4.5}[/tex]

a = 2.7 ms⁻²

Therefore, The correct answer is c. 2.7 m/s²

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Which one is a non-renewable energy resources Mcq?

Answers

Answer:

coal

petroleum

and natural gas

Which term is most applicable to a discussion of angular momentum in the context of black holes?.

Answers

"The most applicable term to a discussion of angular momentum in the context of black holes is Spin."

Angular Momentum is defined as the property of any rotating object which is given by the product of the moment of inertia of an object and the angular velocity of the rotating object. Angular momentum is a vector quantity and it has both the magnitude and direction. The Earth's rotation and revolution are two instances of angular momentum.

When astronomers claim to have calculated a black hole's spin, they actually mean to have calculated its angular momentum. This is the total angular momentum of all the materials on the Universe that ever crossed the event horizon and got trapped inside it.

The given question is incomplete. The complete question contains options. they are 'A: Photon B: Curvature C: Spin D: Time'

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Generates a large volume of solid radioactive waste. fission

Answers

Fission generates a large volume of solid radioactive waste.

What is fission? Atoms are torn apart through nuclear fission in order to release the nuclear energy that holds them together. This energy is released as heat and radiation, with a nuclear power plant using the heat to boil water into steam that turns a turbine and powers generators to generate electricity. Nuclear fission produces no carbon emissions since it produces heat using uranium rather than fossil fuels.At a power plant, uranium is placed in enclosed metal cylinders inside a steel reactor vessel to break atoms. Subsequently, neutrons are fired at the uranium atoms, causing them to split and release further neutrons that then strike other atoms, starting a chain reaction that divides more atoms and releases energy.

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A worker places a large plastic waste container with a mass
of 84 kg on the ramp of a loading dock. The ramp makes an
angle of 22° with the horizontal. The worker turns to pick up
another container before pushing the first one up the ramp. If
the coefficient of static friction is 0.47, will the crate slide
down the ramp?

Answers

The crate will not slide down the ramp since the force of friction is greater than parallel force.

What is the frictional force on the container?

The force of friction resisting the motion of the container is calculated by applying the following formula.

Ff = μmg cosθ

where;

θ is the angle of inclination of the inclineμ is the coefficient of frictionm is the massg is acceleration due to gravity

Ff = 0.47 x 84 kg  x 9.8 m/s² x cos (22)

Ff = 358.7 N

The parallel force on the container is calculated as follows;

Fp = mg sinθ

Fp = 84 x 9.8 x sin (22)

Fp = 308.38 N

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