# Calculations for Speed and Velocity

1) A 70.2 kg skater is carrying a 2.5 kg snowball and moving forward with a velocity of 9.7 m/s. The skater throws the snowball forward with a speed of 33.4 m/s. Determine the speed of the skater after hurling the snowball.

2) A 2.34 kg cannon is at rest. When ignited, it fires a 56.7 g tennis ball forward with a speed of 80.4 m/s. Determine the post-explosion speed (in m/s) of the cannon. (Be careful of units!)

3) Two billiard balls of equal mass collide while moving in opposite directions. Ball A is moving northward with a speed of 3.17 m/s when it collides with ball B moving southwards at 1.67 m/s. After the collision, ball B is moving northwards with a speed of 2.67 m/s. Determine the post-collision speed of ball A. Enter a negative value for a southward velocity and a positive value for a northward velocity. (Avoid rounding until the final answer is determined.)

4) A 5.34 kg bowling ball moving eastward with a speed of 6.37 m/s collides head-on with a 1.25-kg bowling pin. The pin is initially at rest but is moving eastward with a speed of 14.69 m/s after the collision. Determine the post-collision speed of the bowling ball.

5) A small 40.2 gram fish moving with a speed of 63.7 cm/s is engulfed by a large fish which is initially at rest and has 6 times the mass of the little fish. Determine the post-lunch speed (in cm/s) of the big fish (with the small fish in its stomach).

6) A 1.5-kg cannon is mounted on top of a 2.0-kg cart and loaded with a 63.4 gram ball. The cannon, cart, and ball are moving forward with a speed of 2.34 m/s. The cannon is ignited and launches a 63.4 gram ball forward with a speed of 96 m/s. Determine the post-explosion velocity of the cannon and cart. Enter a negative value for a backward velocity and a positive value for an forward velocity.

7) A small car moving with a speed of 23.4 km/hr collides with another vehicle (initially at rest) with 4 times the mass. The two vehicles stick together and move as a single unit. Determine their post-collision speed.

#### Solution Preview

Please refer to the attached file. Cheers.

1) A 70.2 kg skater is carrying a 2.5 kg snowball and moving forward with a velocity of 9.7 m/s. The skater throws the snowball forward with a speed of 33.4 m/s. Determine the speed of the skater after hurling the snowball.

The skater moves forward with a speed of 8.88 m/s after hurling the snowball.

2) A 2.34 kg cannon is at rest. When ignited, it fires a 56.7 g tennis ball forward with a speed of 80.4 m/s. Determine the post-explosion speed (in m/s) of the cannon. (Be careful of units!)

The post-explosion speed of the cannon is 1.95 m/s.

3) Two ...

#### Solution Summary

This solution involves step by step calculations for various physics problems, which cover the concepts of speed and velocity