The cross product of two vectors(a & b) is equal to the product of their magnitude, and the direction of the cross product(c) is easily determined by the right hand rule.
If the angle between two vectors(a & b) is θ, then their product will be
c = a.b.sinθ
Right hand rule is used to determine the cross product's direction of the two vectors. If we point our right hand's index finger in the direction of vector a, and middle finger in the direction of vector b, then our thumb will indicate the direction of the c, which is the cross product of vectors a and b. We should not that, (a×b) ≠ (b×a)
If a×b = c, then the direction of vector C would be perpendicular to both the vectors.
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ssuming a typical efficiency for energy use by the body, if a 67 kg person were to use the energy in this candy bar to climb stairs, how high could she go? express your answer in meters.
Based on the formula for work done, the height to which the 67 kg person can climb after eating the Candy bar is 3.07 m.
What is the energy in Joues present kin the Candy bar?The energy in Joues present kin the Candy bar is determined by using the conversion factor of calories to Joules.
The conversion factor is: 1 calorie = 4.2 joules
480 calories = 4.2 * 480 joules
480 calories = 2016 Joules
Work done by the 67 kg person is calculated using the formula:
Work done or energy = mgh
where;
m is the mass in kg = 67 kg
g is the acceleration due to gravity = 9.81 m/s²
h is height = ?
Therefore, h = work done/mg
h = 2016 / (9.81 * 67)
h = 3.07 m
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Complete question:
The label on a Candy bar says 480 Calories. Assuming a typical efficiency for energy use by the body, if a 67kg person were to use the energy in this candy bar to climb stairs, how high could she go?
This table displays information about position and time. What was the average speed of the baseball from the time it left the pitcher's hand to the time it was 7. 2 m from the pitcher's hand?.
The average speed of the baseball from the time it left the pitcher’s hand to the time it was 7.2 m from the pitcher’s hand is 25.7 m/s.
Thus, the correct answer is option A.
What is average speed?The object's average speed is the total distance it travels in a predetermined length of time. It has a scalar value. It is characterized by the magnitude and lacks direction. You may calculate it by dividing the total distance travelled by the total amount of time needed to go that distance.
The average speed of the baseball is calculated as:-
Distance = 7.2 m
Time = 0.28 sec
Using the formula, Speed = distance/time
Speed = 7.2/0.28 = 25.7 m/s
Therefore, 25.7 m/s is the average speed of the baseball from the time it left the pitcher’s hand to the time it was 7.2 m from the pitcher’s hand.
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Complete question is as follows:
The time taken for the baseball to reach 7.2m from the pitchers hand is 0.28 seconds. This table displays information about position and time. What was the average speed of the baseball from the time it left the pitcher’s hand to the time it was 7.2 m from the pitcher’s hand? Formula for Speed S=d/t Speed= distance/time Question 4 options: 25.7 m/s 50.7 m/s 30.2 m/s 20.5 m/s
How long will it take a roller roaster car to go from rest to 23 m/s if the car accelerates at a rate of 12 m/s²?
Hint: items that fall in air a =
a rubber balloon is blown up and the end tied. is the pressure inside the balloon greater than, less than, or equal to the ambient atmospheric pressure?
The pressure inside the rubber balloon is greater than the ambient atmospheric pressure.
The pressure inside the rubber balloon is greater than the ambient atmospheric pressure because when the balloon is blown up, the person blowing the balloon is compressing the air inside the balloon. According to gas laws, when a gas is compressed, the pressure inside the container increases. When the end of the balloon is tied, this compressed air is confined within the balloon, which causes the balloon to expand.
When air is compressed, the particles of the air molecules move closer together and collide more frequently. This increases the force of the collisions and creates an increase in pressure. This is why the pressure inside the rubber balloon is greater than the ambient atmospheric pressure.
In summary, when the rubber balloon is blown up, the air inside the balloon is compressed and the pressure inside the balloon is greater than the surrounding ambient atmospheric pressure.
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What is the formula of electric torque?
Torque on an electric dipole is given by the formula, τ = q d e sinθ, where, τ is torque, q is charge, electric field strength e, angle between dipole and electric field.
When we consider a dipole that is placed in a uniform electric field e, to calculate the torque experienced by the dipole when placed in an external field with the dipole’s axis forming an angle θ with the electric field.
F = ± q e
The components of the force perpendicular to the dipole, F = ± q e sin θ
We know, τ = r × F = (q e sin θ) d = q d e sin θ
When the dipole is put in a uniform external electric field, it rotates. Furthermore, its magnitude is the resulting product of force and its arm. The arm may be thought of as the distance between the point where force is applied and the point where rotation occurs for the dipole.
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Rock layer that must be rich in organic matter that was subjected to heat and pressure overtime during the formation of oil and natural gas
The lowest rock layer is a layer that must be rich in organic matter that was subjected to heat and pressure over time during the formation of oil and gas.
The lowest rock layer can be explained as;
The lowest rock layer refers to the lowermost part of the Earth's mantle, which is a thin rock layer (approximately 250 km).
In the Earth, the layers of rocks are progressively deposited, thereby pressing them to the bottom to generate sedimentary rocks.
The lowest rock layers on the bottom must be rich in organic matter to form fossil fuels.
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A force of 6. 0 Newtons is applied to a block at rest on a horizontal frictionless surface over a 7. 0 meter span. How much energy is gained by the block?
42 Joules energy is gained by the block. This can be solved by using the concept work done formula.
What is work done?The product of a force and the distance it is applied across is what is referred to as the work done. An item moves across space when a force is applied to it, which is referred to as doing work. By applying a force across a distance, such as when you lift a burden, you are performing labor.
A force delivered over a distance to an item causes work to be done. Thus, an object's total energy will be impacted when a force is applied to it across a distance.
Given that,
a force of 6.0 Newtons is applied to a block at rest on a horizontal friction less surface over a 7.0 meter span.
The parameters given are:
Distance covered = 7.0 m
The force = 6.0 N
The formula for work done is the product of force and distance. That is,
Work done = force × distance
Where work done is the same as energy.
So, Energy = force × distance
or, Energy = 6.0 N × 7.0 m
or, Energy = 42 Joules.
Therefore, the energy gained by the block is 42 Joules.
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A force that resists motion of two surfaces that are touching is known as?
A force that resists motion of two surfaces that are touching is known as friction.
What resisting force exists between two surfaces?when attempting to slide an object across two surfaces, there is resistance. When "rough edges" interact at the molecular level, friction results: Every time there is friction, the direction of motion is reversed.
The force that opposes motion when the surface of one object rubs against the surface of another is known as friction.
opposing forces These comprise: Friction is a force that tries to stop two surfaces from slipping or sliding when they are in contact. The motion is countered by air resistance, which acts.
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If cos∠b = sin∠a and m∠a = 32°, what is the measure of ∠b? 32° 58° 90° 148°
If cos∠b = sin∠a and m∠a = 32°, then the measure of ∠b is 58°.
If cos∠b = sin∠a and m∠a = 32°, then we can use the relationship between the sine and cosine functions to find the measure of ∠b.
The sine and cosine functions are complementary, which means that they are related by the identity:
sin²(x) + cos²(x) = 1
If cos∠b = sin∠a, we can substitute the given value:
cos∠b = sin 32°
Now, we can use the complementary identity to solve for sin²(32°) + cos²(32°) = 1
sin²(32°) = 1 - cos²(32°)
If we know the value of sin∠a which is sin 32°,
we can solve for cos²(32°) = 1 - sin²(32°) = 1 - (sin 32°)² = 1 - (0.55)² = 0.32
then we can find the measure of angle b.
cos∠b = cos(90° - ∠a) = cos(90° - 32°) = cos 58°
Therefore, the measure of ∠b is 58°. So the answer is 32° 58° 90° 148°
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Answer:
58
Explanation:
i took the quiz
In 11.1d, what would the velocity be 15 s after the start if the acceleration were maintained?
What is the velocity of an object accelerating at 5.0 m/s² after 15 s having started from
rest?
Answer:In physics, the velocity of an object under constant acceleration can be calculated using the following formula:
v = vₒ + at
where vₒ is the initial velocity (assumed to be zero if the object is starting from rest), a is the acceleration, and t is the time elapsed.
If the acceleration were maintained:
v = vₒ + at
v = 0 + (5 m/s²) * (15 s) = 75 m/s
So, the velocity would be 75 m/s after 15 seconds if the acceleration were maintained.
If the object is starting from rest:
v = vₒ + at
v = 0 + (5 m/s²) * (15 s) = 75 m/s
So, the velocity of an object accelerating at 5.0 m/s² after 15 s, having started from rest, would be 75 m/s.
Explanation:
a metal conducting sphere of radius r holds a total charge q. what is the surface charge density, , on the outer surface of the conducting sphere?
The surface charge density of the metal conducting sphere on the outside is zero.
Conductive hollow spheres are positively charged with a +q Coulomb charge. If a sphere has the same density across its surface, the +q charge will be evenly distributed across the surface. So the whole system is a symmetrical system. Charge density depends on the amount of charge and the surface area of the conductor or the size of the conductor. A conductor with an uneven surface has different surface areas at different locations on its surface. As a result, the surface charge density varies from point to point on the surface. The magnitude of the surface charge density is higher in regions of maximum curvature.
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if a scuba diver descends by 1 m and fails to equalize, what is pressure difference on the two sides of an eardrum?
A scuba diver descending by 1 meter and fails to equalize, then the pressure difference on the two sides of an eardrum would be approximately 1 atmosphere (ATA).
A scuba diver who descends 1 meter without equalizing will experience a pressure difference of about 1 atmosphere (ATA) on the two sides of their eardrum. This can cause pain and damage to the eardrum if not addressed.
Divers must properly equalize the pressure in their ears and sinuses as they descend to prevent injury. It is important to note that as the diver goes deeper the pressure increases, so the deeper the diver goes, the more important it becomes to equalize properly. If the diver has a difficulty equalizing it's important to ascend and address the problem before continuing the dive.
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The speed of a moving bullet can be determined by allowing the bullet to pass through two rotating paper disks mounted a distance 92 cm apart on the same axle. From the angular displacement 23.2 ◦ of the two bullet holes in the disks and the rotational speed 971 rev/min of the disks, we can determine the speed of the bullet.
The the speed of the bullet as per the given information will be 235.8 m/s.
What is angular displacement?"The angle in radians (degrees, revolutions) through which a point or line has been rotated in a particular sense about a specified axis" is the definition of angular displacement. It is the angle at which a body moves in a circular motion.
First use the angular displacement to find the time.
Δθ = ω t
23.2 x 1/360 = 971 rev/min x 1/60 x t
0.064 = 16.18 x t
t = 0.0039s
Now use the distance to find the speed.
v = Δx / t
v = 0.92/0.0039
v = 235.8 m/s
Thus, the speed is 235.8 m/s.
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What is the value of the slope of the graph?
Answer:
-3 lb/wk
Explanation:
Pick any 2 points on the graph. I pick (0,180) and (10,150)
Slope = Δy/Δx = (150 - 180) / (10 - 0) = -3 lb/wk
This is the rate of weight loss
Why isn't the acceleration at the top point of the ball zero?
The acceleration at the top point of the ball is zero just because of it changes direction from upward to downward motion.
The acceleration of an object is the rate of change of its velocity. At the top point of a ball that is thrown or kicked in a parabolic trajectory, the velocity of the ball is momentarily zero as it changes direction from upward to downward motion. However, the acceleration is not zero. The acceleration at the top point is directed downward, towards the ground, and is caused by the force of gravity acting on the ball. Gravity is a constant force acting on all objects with mass, pulling them towards the center of the Earth. When a ball is thrown or kicked in a parabolic trajectory, gravity is the force that opposes the initial upward velocity of the ball, and causes it to fall back to the ground. At the top point of the trajectory, the velocity of the ball is zero, but the force of gravity is still acting on it, which causes an acceleration downwards. It is important to note that the acceleration at the top point of the ball trajectory is not zero but it is not constant either, it changes as the ball moves through its trajectory, it is maximum at the top point, and it decreases as the ball approaches the ground. Also, the trajectory of a thrown or kicked ball is affected by the air resistance, which is a force that opposes the motion of the ball, this force can affect the motion of the ball and the shape of the trajectory, and it can also affect the acceleration at the top point of the trajectory.
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What are two importance of carbohydrates?
Two important things about carbohydrates are increasing muscle mass and as a source of energy.
What are carbohydrates?Carbohydrates are polyhydroxy aldehyde or polyhydroxy ketone compounds and their derivatives in the form of simple single units or complex units. In plants, glucose is synthesized from carbon dioxide (CO2) and water (H2O) through the process of photosynthesis and stored in the form of starch or cellulose. Carbohydrates have very important functions for the body, including as a source of energy and increasing muscle mass.
Everyone's carbohydrate needs generally vary, depending on age, gender, physical activity, and medical conditions suffered. Therefore, the balance of the amount of intake should always be maintained. Don't get too much or too little.
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Describe how another permanent magnet can be used to identify the blocks
When the poles are brought in close proximity to a suspended magnet in turn, a permanent magnet repels one of the poles.
Explain what a permanent magnet is.
Materials known as permanent magnets are those whose interior structure itself produces the magnetic field. Both the atom's nucleus and its electrons are found inside of atoms and crystals.
A magnet made of an unmagnetized substance would be drawn to both poles. Magnets can push or pull objects without coming into contact with them because magnetism can operate at a distance. On other magnets or magnetic materials, a permanent magnet always exerts a force. The primary characteristics of a permanent magnet are that it generates its own magnetic field. The magnetic field is always present; it cannot be turned on or off.
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How do you find the kinetic energy of a ball?
The kinetic energy of a ball can be found by the formula KE = ½ mv². We assume that the ball is moving.
What is kinetic energy?Kinetic energy is the energy of an object due to its motion. So, if an object is moving, it has kinetic energy.
The energy is equal to half mass of an object multiplied by the square of its velocity. The statement can be expressed as
KE = ½ mv²
Where
KE = kinetic energy (J)m = mass of object (kg)v = velocity of object (m/s)Find the kinetic energy of a ball!
A ball has a mass of m and a velocity of v.
The kinetic energy can be found by the formula above.
KE = ½ mv²
Hence, the kinetic energy of a ball can be calculated by KE = ½ mv².
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What is the connection between global warming and climate change ?
Global warming refers to the warming of the earth due to holes in the ozone layer. The ozone layer protects the earth from harmful ultraviolet rays emitted by the sun. This phenomenon causes our planet to warm and this concept is called global warming leading to climate change.
Global warming refers to an increase in the temperature of the earth, mainly due to an increase in the concentration of greenhouse gases in the atmosphere. “Climate change” refers to gradual changes in climate policy over time, including precipitation, temperature, and wind patterns. The burning of fossil fuels, deforestation, and livestock farming are increasingly impacting the planet's climate and temperatures. This adds enormous amounts of greenhouse gases to those naturally present in the atmosphere, increasing the greenhouse effect and global warming.
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you spin a bicycle wheel (diameter of 0.85 m, mass of 4.5 kg), applying a force of 24 n tangentially. what is the angular acceleration of the wheel?:
The angular acceleration of the wheel is 12.5 rad/s². The result is obtained by using the equation of tangential force.
What is tangential force?Tangential force is the force acting on a body in the direction of the tangent to the curved path of the body. The equation of tangential force is
Ft = m × at
Where
Ft = tangential force (N)m = mass of object (kg)at = tangential acceleration (m/s²)The tangential acceleration can be calculated by
at = rα
Where
r = radius or the circle (m)α = angular acceleration (rad/s²)Suppose you spin a bicycle wheel. It has
Diameter, d = 0.85 mMass, m = 4.5 kgTangential force, Ft = 24 NFind the angular acceleration!
The radius of the spin is
r = ½d
r = ½(0.85)
r = 0.425 m
The tangential acceleration is
Ft = m × at
24 = 4.5 × at
at = 24/4.5
at = 5.3 m/s²
The angular acceleration would be
at = rα
5.3 = 0.425α
α = 5.3/0.425
α = 12.5 rad/s²
Hence, the spinning bicycle wheel has the angular acceleration of 12.5 rad/s².
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Physical science pls help I am struggling
The resistance is 14×10⁵ ±5%
How to calculate the resistance of a resistor using colour code?Hold the resistor with the gold or silver band to the right and read the color codes from the left to the right. Select the color codes from the bands on the resistor. Read the colors from left to right. The resistance value based on the color code provided is now displayed.If you know the total current and the voltage across the whole circuit, you can find the total resistance using Ohm's Law: R = V / I. For example, a parallel circuit has a voltage of 9 volts and total current of 3 amps. The total resistance RT = 9 volts / 3 amps = 3 Ω. So, colour bands are printed on them to represent the electrical resistance. These colour bands are known as resistor colour codes. The resistor colour code was invented in the 1920s by the Radio Manufacturers Association (RMA). All leaded resistors with a power rating up to one watt are marked with colour bandsTo learn more about resistance of a resistor refers to:
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PLS HELP ASAP
Two lamps carrying the same current intensity, the first is double the resistance of the second, so the ratio between the power consumed in the first to the second is...
a.4:1
b.1:2
c.2:1
d.1:1
Answer: It is C I guess.
two cars are initially (2.50 c) km apart on a straight road. if the cars are moving toward each other, car 1 with a speed of (7.50 a) m/s and car 2 with a speed of (5.40 b) m/s, how many seconds will it take before the cars meet? round your answer to three significant figures.
The time by which the two cars initially 2.50km apart and moving towards each other meet is 194 seconds.
The two cars are initially 2.50km apart. So the distance between the two cars,d= 2.50km. The speed of car 1 is v₁=7.50 m/sec. The speed of car 2 is v₂=5.40 m/sec. Let t be the time at which the two cars meet. Then at time t, the distance traveled by the two cars will be equal to the distance between them initially.
So, the distance d₁ traveled by car1 is 7.50×t m. The distance d₂ traveled by car 2 is 5.40×t m. Now d₁+d₂=2500, 7.5×t+5.4×t=2500, 12.9×t=2500, t= 2500/12.9, t=193.8 secs. So the time by which the two cars meet is 194 secs.
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a subatomic particle found in the nucleus of every atom, this particle has a positive electrical charge
A subatomic particle found in the nucleus of every atom and the particle has a positive electrical charge : proton.
What is meant by proton?Proton is a subatomic particle found in the nucleus of every atom and the particle has positive electrical charge, equal and opposite to that of electron. If isolated, then a single proton would have mass of only 1.673 * 10^-27 kilogram, just slightly less than mass of a neutron.
A proton is a stable subatomic particle, with symbol p , H⁺, or ¹H⁺ with positive electric charge of +1 e elementary charge. It's mass is slightly less than that of neutron and 1,836 times the mass of electron.
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Calculate the potential difference if 20j of energy are transferred by 8c of charge.
The potential difference if 20j of energy are transferred by 8c of charge is 2.5 V.
The potential difference, also known as voltage, is defined as the amount of energy per unit charge that is transferred between two points.
The formula for potential difference is given by:
V = W / Q
where V is the potential difference, W is the amount of energy transferred, and Q is the amount of charge transferred.
Given that 20 J of energy is transferred by 8 C of charge, we can substitute these values into the equation:
V = 20 J / 8 CV
= 2.5 J/CV
= 2.5 V
Therefore, the potential difference is 2.5 V.
It is important to note that the unit of energy is Joules (J) and the unit of charge is Coulombs (C).
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Can anyone help me solve this question?
7. A student throws a water balloon vertically downwards from the top of a building. The balloon leaves the thrower’s hand at a speed of 6.0 m/s. air resistance may be ignored, so the water balloon is in free fall after it leaves the thrower’s hand. (a) what is its speed after falling for 2.0 s (b) how far does it fall in 2.0 s? (c) what is the magnitude of its velocity after falling 10.0 m?
The velocity of the body is 16.1 m/s.
What is Velocity?
The rate of motion and direction of an object are measured by a vector known as velocity. Therefore, we need to understand both the magnitude and direction in order to calculate the velocity according to this definition.
For instance, if an object moves at 5 meters per second (m/s) in the direction of the west, its velocity in that direction will be 5 m/s. The most popular and straightforward method for calculating velocity is given in the formula below.
While m/s (meter per second) is the SI unit for velocity, it can also be expressed in any d/t unit (distance per time). Miles per hour (mph), kilometres per second (km/s), and kilometers per hour are a few of the units that can be used to express velocity (kph).
Therefore, The velocity of the body is 16.1 m/s.
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7. How much potential energy is contained in a 52 kg skier at the top of a 150 m ski
slope?
The potential energy that is contained in a 52 kg skier at the top of a 150 m slope is 76,440J.
How to calculate potential energy?Potential energy is the energy possessed by an object because of its position (in a gravitational or electric field), or its condition (as a stretched or compressed spring, as a chemical reactant, or by having rest mass).
The potential energy of an object can be calculated by using the following formula:
P.E. = mgh
Where;
m = mass of object (kg)g = acceleration due to gravity (m/s²)h = height (m)P.E = 52 × 9.81 × 150
P.E = 76,440J
Therefore, 76,440J is the potential energy of the skier.
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at what time or times is the particle moving to the right at maximum speed? enter your answers as integers in ascending order separated by commas.
The particle moving to the right at maximum speed at 0 s, 4 s, 8 s
When a particle experiences a restoring force proportional to its displacement, it is said to be in simple harmonic motion (SHM), and as a result, the particle's acceleration is directly proportional to its displacement (although in the opposite direction):
α∝-x
Additionally, as illustrated in the figure for the particle in this case, the displacement of a particle in SHM can be characterized by a sinusoidal function.
The graphic shows that a function with the following formula describes the displacement of the particle in this issue.
x(t) = A sin ωt
where
A is the amplitude
ω = 2π/ T, where T is the period, ω is the angular frequency. The particle completes 1 oscillation in 4 seconds, as shown on the graph, therefore
T = 4 s
The angular frequency is hence
ω = 2π/ T
ω = 2π/ 4 =π/2 rad/s
thus,
x(t) = A sin ωt
x(t) = A sin π/2t
As the derivative of displacement can be used to determine a particle's velocity in SHM, the following results are obtained:
v(t) = x'(t)= Aωcos(ωt)= Aπ/2 cos (π/2t)
Consequently, the particle is traveling to the right at its fastest when
cos (π/2t) =+1
(because this is the cosine part's highest possible positive value.) Trying to find t,
(π/2t) =0
t = 0s
There is yet another instance of this when
(π/2t) =2π
t= 4 s
also
(π/2t) =4π
t = 8 s
Therefore, at 2 and 6 seconds, the particle is travelling to the right at its fastest.
Your question is incomplete but most probably your full question attached below
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What is the number of significant figures in the final answer for 2.679 times 7.0
The number of significant figures in the final answer for 2.679 times 7.0 is equal to 2 significant figures.
What is a significant figure?In Mathematics, a significant figure can be defined as the number of digits in a numerical data (numeral or number), typically a measurement, which enhances its degree of accuracy.
Based on the information provided above, we have the following mathematical expression;
Mathematical expression = 2.679 times 7.0
Re-writing the mathematical expression in scientific notation, we have the following:
Mathematical expression = 2.679 × 7.0
Mathematical expression = 1.9 × 10¹
Mathematical expression = 19 (2 significant figures).
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what is the period of this oscillation? what is the period of this oscillation? 12 s 24 s 36 s 48 s 50 s
According to question, the correct matching of oscillations is A - B, B-C, C -B, D-B and E-B .
T = 2 Square root of L/g, where L is the pendulum's length and g is the acceleration brought on by gravity, is the formula for a pendulum's period.
The time it takes a body to make one complete to and from movement is the period of oscillation for that body. (ii) The acceleration of free fall caused by gravity is the rate at which a body's velocity increases over time as a result of the earth's gravitational pull when it is falling under its own weight (alone).
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The correct question is :
Figure Q14.24 represents the motion of a mass on a string. A What is the period of the oscillations?
A 12 S
B 24 S
C 36 S
D 48 S
E 50S
B What is the amplitude of the oscillation?
a 1.0 cm
b 2.5 cm
c. 4.5 cm
D 5.0 cm
E 9.0 Cm