#1. A 0.500 kg football is thrown with a speed of 15.0 m/s. A stationary receiver catches the ball and brings it to rest in 0.020 s. a) What is the impulse delivered to the ball? b) What is the average force exerted on the receiver?

#2. An 8.0 g bullet is fired into a 2.5 kg ballistic pendulum and becomes embedded in it. If the pendulum rises a vertical distance of 6.0 cm, calculate the initial speed of the bullet.

#3. A billiard ball moving at 5.00 m/s strikes a stationary ball of the same mass. After the collision, the first ball moves at 4.33 m/s at an angle of 30.0^o with respect to the original line of motion. Find the velocity of the second ball after the collision. Neglect the rotation of the billiard balls.

#4. A 0.150 kg glider is moving to the right on a frictionless, horizontal air track with a speed of 0.80 m/s. It has a head-on collision with a 0.300kg glider that is moving to the left with a speed of 2.20 m/s. Find the final velocity (magnitude and direction) of each glider if the collision is elastic.

#5. A machine part rotates at an angular speed of 0.60 rad/s; its speed is then increased to 2.2 rad/s at an angular acceleration of 0.70 rad/s². Find the angle through which the part rotates before reaching this final speed.

#6. A uniform plank of length 2.00 m and mass 30.0 kg is supported by three ropes, as indicated below. Find the tension in each rope when a 700.0 N person is 0.500 m from the left end.

#7. A 150 kg merry-go-round in the shape of a uniform, solid horizontal disk of radius 1.50 m is set in motion by wrapping a rope about the rim of the disk and pulling on the rope. What constant force would have to be exerted on the rope to bring the merry-go-round from rest to an angular speed of 0.500 rev/s in 2.00s?

#8. A merry-go-round rotates at the rate of 0.20 rev/s with an 80 kg man standing at a point 2.0 m from the axis of rotation. What is the new angular speed when the man walks to a point 1.0 m from the center? Assume that the merry-go-round is a solid 25 kg cylinder of radius 2.0 m.

#9. A sphere with a radius of 15 cm rolls on a level surface with a constant angular speed of 10.0 rad/s. To what height on a 30.0^o inclined plane will the sphere roll before coming to rest?

Answers

#1. -7.50Ns, 380 N

#2. 340 m/s

#3. 2.5 m/s, -60^o

#4. -3.20 m/s, -.200 m/s

#5. 3.2 rad

#6. T₃ = 501 N, T₂ = 672 N, T₁ = 384 N

#7. 177 N

#8. 3.59 rad/s

#9. .16 m