a projectile is launched at an angle of 30 above the horizontal from the top of a 10m high cliff, hits the ground below 4 seconds later what is the initial speed of the projectile

Answer:

Explanation:

Given:

m = 0.005 g = 5·10⁻⁶ kg

R = 3 m

__________

J - ?

J = m·R² = 5·10⁻⁶·3² ≈ 45·10⁻⁶ kg·m²

Answer:

The snapshot of idleness of given point mass still up in the air by,

Where,

- snapshot of idleness

- mass = 0.005 g = ( 0.005/1000 ) = 5 × 10⁻⁶ kg

- opposite distance = 3 m

Put the qualities in the equation,

Hence; the snapshot of idleness of given point mass is 4.5 × 10⁻⁵ kgm².

To find out about snapshot of idleness,

Explanation:

Snapshots of dormancy can be found by adding or coordinating over each 'piece of mass' that makes up an article, increased by the square of the distance of each 'piece of mass' to the hub. In vital structure the snapshot of latency is I=∫r2dm I = ∫ r 2 d m .

For a planar item, the snapshot of idleness about a hub opposite to the plane is the amount of the snapshots of dormancy of two opposite tomahawks through a similar point in the plane of the article. The utility of this hypothesis goes past that of computing snapshots of rigorously planar items.

Picture result for track down the snapshot of idleness of a mark of mass of 0.005g at an opposite distance of 3m from its hub of revolution.

What is snapshot of inactivity of an empty circle about a hub going through its middle ? Arrangement : 'I = (2)/(3) MR^(2)', where 'M' is the mass and 'R' is sweep of the empty circle.

The situation that would be most appropriate to the use a vector quantity is determining the net force that is acting on an object.

option A is the correct answer.

Vector quantities are the physical quantities characterized by the presence of both magnitude as well as direction.

Examples of vector quantities include the following;

Scalar quantities, are those physical quantities that have only magnitude without direction. Example is temperature.

Thus, the situation that would be most appropriate to the use a vector quantity is the situation that needs to be described by both magnitude and direction.

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The normal force on the car when it is at the bottom of the track is 22 N.

A frame revolves in a vertical circle such that its motion at unique points is one-of-a-kind then the motion of the frame is said to be vertical circular movement. recollect an item of mass tied at one give up of a mass m tied at one stop of an int extensible string and whirled in a vertical radius of radius r.

Calculation:-

At the inside of the track

N + mg = mv²/r

6 + 0.8 × 10 = m (v²/r)

14 = 0.8 ( acceleration)

acceleration = 17.5 m/sec²  towards centre.

Again,

a = v²/r

ar = v²

v = √ar

v = √17.5 ×5

  = 9.35 m/s²

For Normal force

N = mv²/r + mg

N = 0.8 × 1.75 + 0.8 × 10

  = 14 + 8

   = 22 N

A frame spins in a vertical circle in such a way that its movement at exclusive factors differs from the frame's motion, which is assumed to be vertical circular motion. keep in mind a mass m item wrapped in a stretchable string at one end and whirled in a vertical circle with radius d.

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The technique that was used to release the "evil" that caused disease is Trepanning.

Option D is correct.

René Descartes would likely agree with the statement that The mind and body cannot be separated, therefore physical illness and mental illness cannot be separated. So option B is correct.

One of the negative consequence of deinstitutionalization was Many people with mental illness did not continue treatment once released.

So option C is correct.

Trepanning, also known as trepanation, trephination, trephining or making a burr hole, is described as a surgical intervention in which a hole is drilled or scraped into the human skull.

Deinstitutionalization well-intended move was predicated on the development of a community mental health center network. But it had unintended consequences, which is that many deinstitutionalized mentally ill clients have been forced onto the street with little or no treatment.

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Answer:

A

Explanation:

The Cosmic Microwave Background radiation, or CMB for squat, is a faint glow of light that fills the universe, falling on Earth from each direction with nearly uniform intensity.

The CMB represents the heat leftover from the Big Bang. You can't see the CMB with your bare eye, but it is everywhere in the universe. It is unseen to humans because it is so cold, just 2.725 degrees above total zero. Planck mapped out the warp in the CMB due to gravitational lensing caused by dark matter's existence. The CMB materialized as an electromagnetic fog on optical telescopes and as a static hum on radio telescopes. The CMB will certainly emerge slightly different from any distant galaxy,

So we can conclude that The Cosmic Microwave Background (CMB) is the cooled remains of the first light that could ever travel freely throughout the Universe.

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The fraction of the original kinetic energy of the bullet appears as mechanical energy in the system of block-spring-bullet is 0.72 m.

Amplitude=0.72 m

KE of system=0.5*(1.8+0.06)*8.7^2=70.39 j

Conservation of momentum

0.06*270=(1.8+0.06)*v

v=8.7 m/s

conservation energy

0.5*(1.8+0.06)*8.7^2=0.5*220*x^2+(1.8+0.06)*9.81*x

x=0.72 m

Amplitude=0.72 m

Original KE of bullet = 0.5*0.06*270^2=2187j

KE of system = 0.5*(1.8+0.06)*8.7^2=70.39 j

Amplitude in physics is stated to be the maximum displacement or distance that is moved by a factor on a body that is vibrating or wave measured from its equilibrium role.

As the pendulum swings through its equilibrium point (straight down), it swings to a maximum distance away from the center.

The amplitude of a wave is related to the amount of energy it includes. An excessive amplitude wave consists of a massive amount of power; a low amplitude wave consists of a small quantity of strength. Amplitude and intensity are associated, but not equal.

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Answer:

The total displacement 560 m

Explanation:

 Given:

t₀ = 0 s

t = 25 s

V₀ = 10 m/s

V = 35 m/s

___________

D - ?

Acceleration:

a =  (V - V₀) / (t - t₀) = (35 - 10) / (25 - 0) = 25 / 25 = 1.0 m/s²

The total displacement:

D = V₀·t + a·t² / 2

D = 10·25 + 1.0·25² / 2 ≈ 560 m

acceleration on both the balls is same

Time to hit the ground is also equal for both the balls.


Here the acceleration is only acceleration due to gravity in vertically downward direction.

No acceleration in horizontal direction as air resistance is neglected.

Both the balls are projected from same height and downward acceleration is same and there is no initial downward velocity ,hence both the balls take same time to hit the the ground.

Time to hit the ground is also equal for both the balls.

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compared to a solid wire of the same gauge, stranded wire is more susceptible to interference.

A solid wire consists of a solid metal core while stranded wires are made of a quantity of thinner wires that are twisted together into an organized bundle.

But because of the bundle feature of the stranded wires, they have more surface areas in comparison to the solid wires, so there is more chances to have dissipation in this type of wires, specially when high frequency current is being passed.

Due to more dissipation it is more likely to have interference.

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An equalizer is used to adjust or correct the audio signal by boosting or lowering sound frequency. It will affect the sound output for the listener with an altered audio color. In other words, it is used to balance sound in the system.

Audio equalization itself is a process of balancing (boosting or lowering) the sound frequency to make better audio output. For example, tweaking the treble frequency will make the vocal audible, boosting the bass will make the sound heavier, and so many more to tune the sound to your audio taste.  In addition, an equalizer can also be used as noise reduction.

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The maximum output force of the bike wheel is equal to 40000 newtons.

The maximum output force of the bike wheel is calculated by using the equation:

F = R^2 * P, where F is the force exerted by the wheel on the axle, R is the radius of the axle, and P is the applied force. So we have: 800 N = (0.125 m)^2 * (800 N)

Rearranging gives us: 2 * R^2 = 800 N

Solving for R gives us: 0.5 m = 40000 N/m^2

This means that we must have a radius of 0.5 meters to produce an output force of 40000 newtons.

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It's true that air resistance is really low. Energy must not be gained or lost during the experiment if they expect to demonstrate that energy is conserved. In other words, there must be little loss from air resistance.

Air is the source of the force known as air resistance. An object travelling through the air experiences the force in the opposite direction. A sports vehicle with a streamlined form will face less air resistance than a lorry with a flat front, enabling the latter to travel faster.

The force of air resistance changes depending on the velocity. This implies that the acceleration is not constant and neither is the force. That is a serious issue.

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Answer:use 1/2 x M x V^2

Explanation:

to calculate the kinetic energy, observe the velocity from the graph at 8.0 seconds. and use the formula!

Julie left a single mark on the sidewalk, and that mark has served as a starting point for me to track the snail's movement. Hence, option D is correct.

In broad terms, a snail is a shelled gastropod. The name is most commonly used in reference to land snails, that are pulmonate gastropod mollusks. However, the majority of the Gastropoda molluscan—which have coiled casings big enough for the animal to completely retract into—are also referred to as snails by their popular name. When used in this broad sense, the word "snail" refers to many different kinds of freshwater and marine snails, as well as land snails.

The distance traveled has been calculated using the reference point represented by the line that has been drawn across the sidewalk. So, choice D is the right one.

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Your question is incomplete, your question probably is :

Julie finds a snail on the sidewalk and wants to know whether or not the snail moves throughout the day. She places a

single mark on the sidewalk next to the snail.

What will Julie use the mark for initially?

determining how fast the snail moves

acting as a standard unit of measure

determining the displacement of the snail

O acting as a reference point for detecting motion

The true statement about magnetic flux through the Gaussian surface when a north pole of a permanent magnet is placed inside a Gaussian surface in this situation is "The net flux is zero," option A.

Magnet flux through a surface, in physics, is a surface that is integral of a normal component with a magnetic field, B over the given surface. This means that if a section of a magnet is enclosed in a chosen Gaussian surface, the net magnetic flux moving through the surface will be zero.

This magnetic flux continues inside the magnet and it leaves the Gaussian surface where the magnet is cut.

The full question is:

flux i - suppose just a north pole of a permanent magnet is placed inside a Gaussian surface. what is a true statement about the magnetic flux through the Gaussian surface in this situation?

a. The net flux is zero

b. The net flux is positive

c. The net flux is negative

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The formula used to find the growth rate of a population is Birth rate - Death rate = Growth rate.

Population growth = ( Initial population - Population at time measured ) /  Initial population * 100

The population growth rate is also called as rate of natural increase. The average change in population size annually is population growth rate.

Birth rate is the number of births occurring per 1000 population. Death rate is the number of deaths occurring per 1000 population. Since the values are taken per 1000, to find the percentage value the values are divided by 10.

Therefore, the formula used to find the growth rate of a population is Birth rate - Death rate = Growth rate.

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the object's speed and centripetal acceleration in a circle with a constant radius is the exponential curve going up.

acceleration is the rate of change in both speed and direction of velocity over time. When something moves faster or slower in a straight line, it is said to have been accelerated. Because the direction is constantly shifting, motion on a circle accelerates even when the speed is constant. Both effects add to the acceleration for all other types of motion.

It is a vector quantity because acceleration has both a magnitude and a direction. Another vector quantity is velocity. The velocity vector change over a given period of time, divided by that period of time, is the definition of acceleration. The upper limit of the ratio of velocity change provides instantaneous acceleration (at a specific time and place).

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Graph A, because distance-time graph is a straight line parallel to the time-axis because the position of the object does not change when it is at rest.

Distance is the length between two points or items, and it is directionless. Since distance is a scalar attribute, it only takes into account the overall magnitude and ignores the start and end locations. Being a scalar attribute, distance may only be positive or zero; it cannot be the opposite.

Although kilometers (km) and centimeters (cm) or millimeters (mm) can also be used to express shorter distances, the meter (m) is the most used unit of measurement for distance (mm). When calculating distance, the letter D is usually used to denote the distance traveled.

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The magnetic fuse dropped and the field's magnetic direction remained the same when the switch was reopened in this case. following which the loop's current flows in a clockwise direction.

iron filings on paper placed above a bar magnet to represent the direction of magnetic direction. Compass needles point in the direction of the surrounding magnetic field, away from the north pole of a magnetic direction towards its south pole. The movement of electrical charge carriers like electrons is known as current. Positive and negative locations both experience current flow. The ampere is the SI unit for calculating electrical current (A). The movement of electrical charge carriers like electrons is known as current. Positive and negative locations both experience current flow. The ampere (A) is the SI unit used to measure electric current.

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Considering a quadratic equation to model the height of the car, we have that:

Considering an acceleration = gravity of -9.8m/s², the equation for the height is given as follows:

h(t) = -4.9t² + v(0)t + h(0).

In which:

Considering the values of these parameters for this problem, of v(0) = 20, h(0) = 115, the equation is:

h(t) = -4.9t² + 20t + 115.

At the maximum height point, we have that:

The velocity function is:

v(t) = v(0) - gt

v(t) = 20 - 9.8t.

Which is the linear function graphed at the end of the answer.

The cat hits the ground at t > 0 for which h(t) = 0, hence:

-4.9t² + 20t + 115 = 0.

Which is a quadratic equation with coefficients given by:

a = -4.9, b = 20, c = 115.

Using a calculator, the positive solution for this equation is:

t = 7.30s.

At this instant, the velocity is:

v(t) = 20 - 9.8(7.3) = -51.54 m/s.

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The net force on the woman while she was stopped by the sand is 28800 N.

Force can be defined as the product of the mass of a body and its acceleration.

To calculate the net force on the woman, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the  net force on the woman is 28800 N.

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Answer:

Explanation:

it will have constant friction,  or slowing, as it slides along the ice.

The correct answer is 0.41 R. Option A.

Solution:

We have given acceleration due to gravity at any height is new = 4.9m/sec²

The radius of the earth = r

We know that acceleration due to gravity at any height is given by

g¹ = GM/(R + h)²...eqn 1

And acceleration due to gravity at the earth g = GM/R²...eqn2

Dividing eqn 2 by eqn 1

g/g¹ = (r+h)²/r²

9.8/4.9 =  (r+h)²/r²

2r² = (r+h)²

[tex]\sqrt{2r}[/tex] = h+r

h = 0.41r

Gravitational acceleration decreases as one moves deeper into the earth, reaching zero at the center of the earth. Similarly, the gravitational force is said to decrease with distance from the Earth's surface and become zero at infinity.

The projectile's instantaneous velocity at maximum altitude is zero. Gravity gives the ball the same acceleration when it rises as it does when it descends so the time to reach the maximum height is the same as the time to return to the starting position. increase.

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The time taken by the ball is 0.30s.

We know that the horizontal velocity has to do with the speed of the object has it moves along a horizontal path. In this case, we can see that the ball is thrown horizontally with a velocity of 12m / s. We have also been told in this question as we have it here to assume that there was no air resistance that is involved.

Thus we have;

Horizontal speed of the ball =  12m / s

Distance covered by the ball =  3.5 m

Let us see that;

V = s/t

V = speed

s = distance

t = time

t = s/V

We should now have;

t = 3.5 m/12 m/s

t = 0.30s

We can now see that the time that t would take the ball to hit the ground is 0.30 seconds of time.

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Answer:

Explanation:

Given:

Vₓ = 12 m/s

H = 3.5 m

g = 9.8 m/s²

__________

t - ?

According to the principle of independence of motion, we find the fall time from the formula:

H = g·t²/ 2

t = √ (2·H / g)

t = √ (2·3.5 / 9.8 ) ≈ 0.85 s

Correct answer:

C.  0.85 s

Answer:

c. Free body diagram

Explanation:

Free-body diagrams are diagrams used to show the relative magnitude and direction of all forces acting upon an object in a given situation.

The potential difference across a 19m long, 2.0mm diameter copper wire carrying a 7.6A current is 676 V.

The resistance of the wire is given by R = ρ L/A

where ρ is the resistivity of copper (ρ = 1.72E-8 Ωm) and L is the length of the wire (19m). So,

R = 1.72E-8 * 2.0E-3/7.6E3

= 912 Ω.

Assuming that no other circuit elements are present, the potential difference across this wire will be equal to the voltage drop across that resistor:

V = IR = 912 * 7.6E3

= 676 V

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The vehicle speed required to drive on an icy road without sliding is 28.3 m/s.

The weight of the car is m = 1500 kg

The angle at which the road is inclined is θ = 10

The radius of curvature is r = 400m

The expression for the speed of the car required to travel on the road without sliding is V =[tex]\sqrt{rgtan}[/tex]

V =[tex]\sqrt{400*9.8*tan10}[/tex]

V = 28.3 m/s

Velocity is the rate of change in direction of an object in motion measured by a specific time standard and observed from a specific reference point (for example, 60 km/h north). A key idea in kinematics, the branch of classical mechanics that studies the motion of bodies, is velocity.

The definition of velocity requires both its magnitude and its direction, since it is a physical vector quantity. Velocity is a coherently derived unit that is measured in the SI (metric system) as meters per second (m/s or m/s1). Velocity is a scalar absolute value (magnitude) of speed.

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The maximum velocity of the tennis ball when it cross the net in order to still land in the court is 26.7 m/s

The trajectory of the tennis ball follow a projectile motion. When it cross the net, it can be considered it is at its maximum height.

At this position, the component of the velocity is only in x direction.

Vertical direction:

h = 1/2 . g t²

Where:

h = maximum height

g = acceleration due to gravity = 9.8 m/s²

t = time to land

Substitute h = 1 m

t² = 2/g = 0.204

t = 0.45 seconds

Horizontal direction:

x = v . t

12 = v . 0.45

v = 12 / 0.45 = 26.7 m/s

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The radius of the new orbit should be 4 times larger to increase the satellite period 8 times.

Calculation:-

Using the formula for the satellite period.

T = 2π [tex]\sqrt{\frac{R^{3} }{GM} }[/tex]

In which R is the average radius of orbit for the satellite G is the gravitational constant, and M is the mass of the planet.

Therefore the radius of the new orbit ought to be four instances large to increase the satellite period 8 instances.

The orbital length is without delay associated with the common distance among the planet and the sun. This regulation means that planetary orbital velocity decreases with increasing distance from the sun.

The orbital length will increase if the orbital distance is multiplied. As the distance of the planet from the solar increases, the length of revolution decreases. you could calculate the space in more than one methods. One way is to multiply the calculated rate by the length.

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The final angular velocity of the merry-go-round is 8 rad/s.

The radius of the Merry-go-round is 1.5 m and it is spinning with a speed of 2rad/s the girl pushes on it for 5 revolutions which applies and acceleration of 3rad/s².

The final angular velocity of the merry-go-round can be given by the equation,

W'² - W² = 2AS

Where,

W' is the final angular velocity,

W is the initial angular velocity,

A is the angular acceleration,

S is the angular displacement which is 10 rad in this case.

Putting values,

W'² - (2)² = 2(10)(3)

W' = 8rad/s.

So, the final angular velocity is 8rad/s.

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