The following problems span the entire Momentum and Collisions unit and serve as a review of the mathematics of the unit.
Determine the momentum of …
… an electron (m= 9.1 x10-31 kg) moving at 2.20 x 106 m/s (as if it were in a Bohr orbit in the H atom). (Enter using scientific notation.)
Momentum of Electron
kg•m/s
… a 0.45 Caliber bullet (m = 0.162 kg) leaving the muzzle of a gun at 163 m/s.
Momentum of Bullet
… a 108-kg professional fullback running across the line at 5.50 m/s.
Momentum of Fullback
… a 236000-kg passenger plane taxiing down a runway at 6.82 m/s.
Momentum of Plane
A 910-kg compact car is moving eastward at 26.3 m/s.
Find the magnitude of its momentum.
Car Momentum (magnitude)
State the direction of its momentum.
Determine the speed of a 2000-kg van that has the same amount of momentum.
Speed of Van
m/s
Jerome plays middle linebacker for South's varsity football team. In a game against cross-town rival North, he delivered a hit to North's 83.4-kg running back, changing his eastward velocity of 6.70 m/s into a westward velocity of 4.00 m/s.
NOTE: Use the appropriate +/- sign based on the convention that East is + and West is -.
Determine the initial momentum of the running back.
Initial Momentum
Determine the final momentum of the running back.
Final Momentum
Determine the momentum change of the running back.
Momentum Change
Determine the impulse delivered to the running back.
Impulse
N•s
Avery hurls the 0.482-kg football to Tyrone. The ball reaches Tyrone with a speed of 22.4 m/s. Tyrone catches the pass, bringing it to a dead stop in 0.0298 seconds before heading up field. Determine the …
… impulse delivered to the ball by Tyrone. (Magnitude only; no + or -.)
… the average force exerted on the ball by Tyrone. (Magnitude only; no + or -.)
Ave. Force
N
A 1100-kg compact car is moving along the highway at 30.9 m/s when the driver abruptly brakes for 2.14 seconds. An average braking force of 4280 N is exerted upon the car to slow it down. Determine …
… the loss of momentum of the car during the braking period. (Enter it as a + value.)
… the final momentum of the car.
… the magnitude of the final velocity of the car.
Final Velocity
Jeremy, South's all-conference wide receiver, is running down the field with a momentum of 627 kg•m/s. New Greer Academy's linebacker grabs onto his jersey and pulls him to stop in 2.36 seconds. Determine …
… Jeremy's final momentum.
… Jeremy's change in momentum? (Enter a + value for an increase and a - value for a decrease.)
Change in Momentum
… the average force exerted on Jeremy by the linebacker. (Magnitude only; no + or - signs.)
Average Force
During an in-class demonstration of momentum change and impulse, Mr. H asks Jerome (95.0 kg) and Michael (88.7 kg) to sit on a large 14.5-kg skate cart. Mr. H asks Suzie (44.3 kg) to sit on a second 14.5-kg skate cart. The two carts are placed on low friction boards in the hallway. Jerome pushes off of Suzie's cart. Measurements are made to determine that Suzie's cart acquired a post-impulse speed of 15.0 m/s. Determine the expected recoil speed of Jerome and Michael's cart.
Speed of Boy's Cart
Jack and Jill stand on the ice and push off each other. Jack's 67.5-kg body is propelled westward with a velocity of 2.20 m/s. What is the eastward velocity of Jill's 43.4-kg body?
Jill's Velocity
Hayden (m=31.1-kg) is gliding along the sidewalk on his skateboard at 14.4 ft/s. As he travels under a low-hanging branch of the tree where Matthew is sitting, he grabs the 4.6-kg bag of soccer balls from Matthew's hands. Determine the speed of Hayden immediately after grabbing the bag of soccer balls.
Final Speed of Hayden
ft/s
A 891-kg sports car is moving at 13.0 m/s when it rear-ends with a stopped car having an identical mass at a stop light. The two cars entangle and move together after the collision. What is their speed immediately after the collision?
Post-Collision Speed
Abbey and Mia are in the basement playing pool. On Abbey's recent shot, the cue ball was moving east at 81.6 cm/s when it struck the slower 8-ball moving in the same direction at 26.2 cm/s. The 8-ball immediately speeds up to 72.4 cm/s. Determine the post-collision speed of the cue ball. (Assume all balls have the same mass.)
Final Speed of Cue Ball
cm/s
A 7.58-kg bowling ball collides head-on with a 2.34-kg stationary bowling pin. The pin flies forward with a speed of 3.93 m/s. If the ball continues forward with a speed of 1.65 m/s, what was the initial speed of the ball?
Pre-Coll'n Ball Speed
In the Bumper Carts lab, a 0.500 kg red cart moving right at 1.17 m/s collides head-on with a 1.00 kg blue cart moving left with a speed of 0.85 m/s. The 0.500 kg red cart bounces backward at 1.26 m/s after the collision. Find the velocity of the blue cart after the collision. Enter a + for right and a – for left.
Vel-Blue After Collision