Use the impulse-momentum change theorem to calculate forces, impulses, momentum changes, and final speeds. Each problem has a considerable degree of scaffolding.
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 80.9-kg running back, changing his eastward velocity of 7.67 m/s into a westward velocity of 3.97 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
kg•m/s
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 18.3 m/s. Tyrone catches the pass, bringing it to a dead stop in 0.0285 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 1020-kg compact car is moving along the highway at 32.0 m/s when the driver abruptly brakes for 2.14 seconds. An average braking force of 4310 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
m/s
Mr. H's 3570-kg pickup truck has an initial momentum of +47100 kg•m/s. It experiences an impulse of -12300 N•s. Determine the …
… change in momentum of the truck. (Include the appropriate + or – sign.)
Change in Momentum
… final momentum of the truck. (Include the appropriate + or – sign.)
… the final velocity of the truck. (Include the appropriate + or – sign.)
A force of +280 N is exerted on a 7.26-kg bowling ball over a time span of 0.573 seconds. Determine the …
… change in momentum of the bowling ball.
… the change in velocity of the bowling ball.
Change in Velocity
It's game point and Josie makes a clutch play. The 0.270-kg volleyball is moving at 6.58 m/s. Josie lunges and bumps the ball in the opposite direction at 3.80 m/s just before it strikes the ground. Calculate …
… the change in velocity of the ball. (Magnitude only; no + or - signs.)
Velocity Change
… the change in momentum of the ball. (Magnitude only; no + or - signs.)
… the average force Josie applied to the ball if her forearms were in contact with it for 0.0449 seconds. (Magnitude only; no + or - signs.)
Force
Jeremy, South's all-conference wide receiver, is running down the field with a momentum of 628 kg•m/s. New Greer Academy's linebacker grabs onto his jersey and pulls him to stop in 2.47 seconds. Determine …
… Jeremy's final momentum.
… Jeremy's change in momentum? (Enter a + value for an increase and a - value for a decrease.)
… the average force exerted on Jeremy by the linebacker. (Magnitude only; no + or - signs.)
Average Force
Kara Less was applying her makeup when she drove into South's busy parking lot last Friday morning. Unaware that Lisa Ford was stopped in her lane 30 feet ahead, Kara rear-ended Lisa's rented Taurus. Kara's 1130-kg car was moving at 10.8 m/s and stopped in 0.141 seconds.
Determine the momentum change of Kara's car. Use the appropriate + or - sign with a + representing a gain and a - representing a lost in momentum.
Determine the impulse experienced by Kara's car. Use the appropriate + or - sign.
Determine the magnitude of the force experienced by Kara's car.
The combined mass of Maggie and her snowmobile is 337 kg. In an attempt to chase her brother Jason, she accelerates from 6.4 m/s to 24.4 m/s in a time of 18.1 seconds. Calculate the …
… change in momentum of the snowmobile.
… impulse experienced by the snowmobile.
… the average force value experienced by the snowmobile during this time.