A net torque of 2.84 N*m is applied on a solid sphere for 5.32 seconds. If the solid sphere has a moment of inertia of 2.96 kg*m^2 and it starts from rest, what is its final rotational kinetic energy?

What dB level corresponds to a 500 Hz tone that is perceived to be at 40 phons?

A catapult launches a rock at a 31° angle with respect to the horizontal. Find the maximum height attained if the speed of the rock at its highest point is 26.5 m/s.
  m

An athlete throws a javelin at a 36.2 degree angle with an initial velocity of 17.4 m/s.

Find the horizontal and vertical components of the initial velocity.

v_x =  m/s

v_y =  m/s

If she releases the javelin 1.92 m above the ground, what is the vertical displacement of the javelin when it hits the ground?

m Select an answer neither down up  (up or down)

How much time will the javelin spend in the air?

s.

How far will the javelin travel (horizontally) before sticking into the ground?

m.

You throw a ball for your dog to fetch. The ball leaves your hand with a speed of 2 m/s, at an angle of 30◦ to the horizontal, and from a height of 1.5 m above the ground. The mass of the ball is 0.5 kg. Neglect air resistance in what follows.

(a) What is the acceleration of the ball while it is in flight? Report it as a vector, that is, specify magnitude and direction (or vertical and horizontal components; if the latter, specify which direction(s) you take as positive).

(b) What is the kinetic energy of the ball as it leaves your hand?

(c) Consider the Earth as being in the system. What is the potential energy of the Earth-ball system (1) as the ball leaves your hand, (2) at its maximum height, and (3) as it finally hits the ground?

(d) How high does the ball rise above the ground?

(e) What is the kinetic energy of the ball as it hits the ground?

(f) Now let the system be the ball alone. How much work does the Earth do on the ball while it is in flight? (from start to finish)

(g) What is the velocity of the ball as it hits the ground? Report it as a vector.

(h) How far away from you (horizontally) does the ball land?

A jet is flying with an air speed of 500 m/s. A parcel is dropped out of the plane. Assume that it takes 40 seconds for the parcel to hit the ground.. Assume no air resistance.a. How high is the jet?b. How far forward horizontally from the spot where it leaves the jet, does the parcel move during those 40 seconds?c. Where is the parcel relative to the jet?

A 121-kg astronaut (including space suit) acquires a speed of 2.20 m/s by pushing off with her legs from a 1600-kg space capsule. Use the reference frame in which the capsule is at rest before the push. Part A: What is the velocity of the space capsule after the push in the reference frame? Express your answer to two significant figures and include the appropriate units. Enter positive value if the direction of the velocity is in the direction of the velocity of the astronaut and negative value if the direction of the velocity is in the direction opposite to the velocity of the astronaut. Part B: If the push lasts 0.600 s , what is the magnitude of the average force exerted by each on the other? Express your answer to three significant figures and include the appropriate units. Part C: What is the kinetic energy of the astronaut after the push in the reference frame? Express your answer to three significant figures and include the appropriate units. Part D What is the kinetic energy of the capsule after the push in the reference frame? Express your answer to two significant figures and include the appropriate units.

Three identical very dense masses of 4300 kg each are placed on the x axis. One mass is at x1 = -120 cm , one is at the origin, and one is at x2 = 400 cm .

Part A

What is the magnitude of the net gravitational force Fgrav on the mass at the origin due to the other two masses?

Take the gravitational constant to be G = 6.67×10⁻¹¹ N⋅m2/kg2 .

Express your answer in Newtons.

From t = 0 to t = 3.30 min, a man stands still, and from t = 3.30 min to t = 6.60 min, he walks briskly in a straight line at a constant speed of 2.67 m/s. What are (a) his average velocity vavg and (b) his average acceleration aavg in the time interval 1.00 min to 4.30 min? What are (c) vavg and (d) aavg in the time interval 2.00 min to 5.30 min?

A blood flow meter measures a potential difference of 9.0

A satellite has a mass of 6255 kg and is in a circular orbit 4.30 × 105 m above the surface of a planet. The period of the orbit is 2.2 hours. The radius of the planet is 4.49 × 106 m. What would be the true weight of the satellite if it were at rest on the planet’s surface?

A 0.770-kg mass attached to a vertical spring of force constant 147 N/m oscillates with a maximum speed of 0.322 m/s. Calculate the period related to the motion of the mass. Calculate the amplitude. Calculate the maximum magnitude of the acceleration.

Four identical metallic objects carry the following charges: +1.10, +6.12, -4.28, and -9.19C. The objects are brought simultaneously into contact, so that each touches the others. Then they are separated. (a) What is the final charge on each object? (b) How many electrons (or protons) make up the final charge on each object?

1. A box slides down a frictionless incline and a hoop, uniform disk and a solid sphere all roll down another incline of exactly the same length and height.  They all have the same mass and start out from rest at the same time.  Rank the objects: box, hoop, disk and sphere in the order they reach the bottom of the ramp.  If any reach the bottom at the same time, state that explicitly.  

Reaches first ______     ______             ______             ______ Reaches bottom last

need a MLA format the movie matrix in 1999 work cited.