Additional Momentum Practice

Additional Momentum Practice

1. A little girl (m = 22.0-kg) sits at rest on a swing. Her pesky little brother throws a basketball (624grams) with an initial speed of 10m/s. If the girl catches the ball determine:

a) the resulting speed of the swing/girl

b) the maximum height of the swing/girl

c) the angle that the swing’s chains make with the vertical.

2. A cue ball traveling at 0.75 m/s hits the (stationary) eight-ball, which moves off with a speed of 0.25m/s at an angle of 37° relative to the cue ball’s initial direction. With what velocity does the cue ball deflect?

3. A proton of mass m moves with a speed of 3.0 x106 m/s when it undergoes a head-on elastic collision with an alpha particle of mass 4m, which is initially at rest. What are the resulting velocities of the particles?

4. Mr. Yuska drops a 12-pound bowling ball from 1.0m above the floor. Upon rebounding it bounces back upward to 65cm. What is the impulse imparted by the floor on the ball?

5. A 2.0-g particle moving at 8.0 m/s makes an elastic head-on collision with a resting 1.0-g object. Find the speed of each after the collision.

6. A 500-g block is released from rest at the top of a (75cm tall) frictionless ramp that rests on a tabletop. It then collides elastically with a 1.00 kg mass that is initially at rest on the table as shown in figure D.

a) How far up the track does the 500-g mass travel back up the incline after the collision?

b) How far away from the edge of the table does the 1.0-kg mass land, given that the table is 1.00-m tall.

c) How far from the bottom of the table does the 500-g mass eventually land?

7. Near the end of a chess game, each player has three pieces left a knight (N), the queen (Q), and the king (K) as shown in the figure at left (where B stands for black and W for white.) If the queen has 3.0 times the mass of a knight and the king as mass of 4.0 times the knight. Find (a) the location (coordinates XCM and YCM) of the CM of the black pieces and (b) the location of the CM of the white pieces. (c) Find the location of the CM for the system of all of the pieces, regardless of their color. (Taking the lower left corner of the board as the origin of the coordinate system, express the cooridinates in terms of d, the length of a side of the board’s squares; assume that each piece is located at the center of the square it occupies.)