Physics 163

Unit 4: Momentum and Collisions

Problem Set B

The following selection of problems are sample problems. Individual student problem sets will vary since numerical information is randomly-generated.

Directions:

For the following problems:

• Compute the unknown quantity and enter the answer in the blank.
• Use 9.8 m/s/s as the numerical value of g for situations on Earth.
• Do not round any computed numbers until the last calculation.
• Enter your answers accurate to the second decimal place (unless told otherwise).

Problem 1:

A 2013 kg pick-up truck moving with a velocity of 22.76 m/s collides with a 896 kg car which is at rest at a stoplight. What is the magnitude of the velocity (in m/s) of these two vehicles after the collision (assuming they stick together and move as a single object)?

Problem 2:

Robin Banx is making a get-away in his 2138 kg van. He is moving with a speed of 37 m/s when he loses control and runs into a 1138.2 kg parked car. What is the velocity of the van (in m/s) if these two vehicles stick together and move as a single object after the collision?

Problem 3:

Anna Litical and Noah Formula are doing The Cart and the Brick Lab. They drop a brick on a 1.9 kg cart moving at 21.3 cm/s. After the collision, the dropped brick and cart are moving together with a velocity of 10.9 cm/s. Determine the mass (in kg) of the dropped brick.

Problem 4:

The detective uses skid marks and other accident scene measurements to determine that the 741 kg Yugo and the 941 kg Volkswagon were traveling with a velocity of 11.3 m/s immediately after the collision. Determine the pre-collision velocity (in m/s) of the Yugo. (The Volkswagon was orginally at rest.)

Problem 5:

A 2845 kg truck moving eastward with a speed of 16.3 m/s collides head on with a 1310 kg van moving westward with a speed of 22.8 m/s. Determine the post-collision velocity of the two vehicles (assuming they stick together and move as a single object).

Problem 6:

A 72.7 kg fullback moving eastward with a speed of 5.4 m/s collides head on with a 105-kg lineman moving westward with a speed of 7.6 m/s. Determine the post-collision velocity of the two players (assuming they grab each other and move together as a single object). Enter a negative value for a westward velocity and a positive value for an eastward velocity.

Problem 7:

A 500-gram physics cart is moving with a speed of 2.4 m/s. John drops a 455.2 gram sand balloon (initially at rest) onto it. Determine the post-collision speed of the physics cart and sand balloon.

Problem 8:

A 54.1 kg skater is carrying a 2.5 kg snowball and moving forward with a velocity of 5.9 m/s. The skater throws the snowball forward with a speed of 22.7 m/s. Determine the speed of the skater after hurling the snowball.

Problem 9:

A 1.27 kg cannon is at rest. When ignited, it fires a 51.3 g tennis ball forward with a speed of 48.2 m/s. Determine the post-explosion speed (in m/s) of the cannon. (Be careful of units!)

Problem 10:

Two billiard balls of equal mass collide while moving in opposite directions. Ball A is moving northward with a speed of 2.63 m/s when it collides with ball B moving southwards at 1.13 m/s. After the collision, ball B is moving northwards with a speed of 2.13 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.)

Problem 11:

A 4.27 kg bowling ball moving eastward with a speed of 3.69 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 12.55 m/s after the collision. Determine the post-collision speed of the bowling ball.

Problem 12:

A small 24.1 gram fish moving with a speed of 36.9 cm/s is engulfed by a large fish which is initially at rest and has 3 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).

Problem 13:

A 1.5-kg cannon is mounted on top of a 2.0-kg cart and loaded with a 52.7 gram ball. The cannon, cart, and ball are moving forward with a speed of 1.27 m/s. The cannon is ignited and launches a 52.7 gram ball forward with a speed of 75 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.

Problem 14:

A small car moving with a speed of 12.7 km/hr collides with another vehicle (initially at rest) with 2 times the mass. The two vehicles stick together and move as a single unit. Determine their post-collision speed.

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