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The angular position of a point on the rim of a rotating wheel is given by %u03B8 = 4.01t - 6.34t2 + 2.63t3, where %u03B8 is in radians and t is in seconds. What are the angular velocities at
(a) t = 3.19 s and
(b) t = 6.06 s?
(c) What is the average angular acceleration for the time interval that begins at t = 3.19 s and ends at t = 6.06 s? What are the instantaneous angular accelerations at
(d) the beginning and
(e) the end of this time interval?
The bullet remains in the block, and after the impact the block lands d = 1.5 m from the bottom of the table. Evaluate the initial speed of the bullet.
submarine on the ocean surface receives a sonar echo indicating an underwater object. The echo comes back at an angle of 20 degree above the horizontal and the echo took 3.04s to get back to the submarine What is the object's depth?
A ball is thrown straight up from the ground with an initial velocity of 39.2 m/s; at the same instant, a ball is dropped from the roof of a building 27.7 m high - After how long will the balls be at the same height?
You launch a 5kg ball from a height of 1 meter. Find the speed of the ball and its kinetic energy at the top of its trajectory, find the velocity and speed of the ball when it reaches the ground
On a banked race track, the smallest circular path on which cars can move has a radius of 120 m, while the largest has a radius 155 m, Find the smallest speed at which cars can move on this track without relying on friction
A 42.0 kg seal at an amusement park slides from rest down a ramp into the pool below. If the seal reaches the water with a speed of 4.30 m/s, what is the work done by kinetic friction
A net force of 32 N accelerates a 4.7-kg mass over a distance of 15 m. What is the total work done by this net force
when it is very far from the asteroid it will be traveling with speed 187 m/s. We have a large and powerful spring whose stiffness is 3.0 105 N/m. Explain how much must we compress the spring?
A lump of putty with a mass of 0.550 kg and a speed of 0.750c collides head-on and sticks to an identical lump of putty moving with the same speed
A proton is fired directly at a lithium nucleus. If the protonâ€TMs velocity is 4.0x105 m/s when it is far from the nucleus, how close will the particles get to each other
A large laser emits an intense pulse of light delivering an energy of 5020J in 1.28×10-2s. how many photons are emitted in this pulse
A converging lens has a focal length of f = 29 cm. If an object is placed 40 cm from the lens, where will the image be formed.
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