Download Momentum Problems Grade > 85 : Answer 4 questions from Tier 1

Momentum Problems
Grade > 85 : Answer 4 questions from Tier 1 and 2 questions from Tier 2
Grade < 85 : Answer 6 questions from Tier 1 and 1 question from Tier 2
Everyone answers this question: What is the formula for momentum?
Tier 1:
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Tier 2:
What is the momentum of an 8 kg bowling ball rolling at 2 m/s?
What is the momentum of a truck that has a mass of 10,000 kg and is traveling at 5 m/s?
What has more momentum, the truck above or a 500 kg dolphin swimming 35 m/s?
What is the momentum of a 50 kg carton that slides at 4 m/s across an icy surface?
A 5 kg rock is thrown with a momentum of 50 kg•m/s. What velocity was the rock thrown with?
If a car accelerates to twice its initial speed, how does the car’s momentum change?
Coal is loaded into a train car while it is still moving. If the mass of the train car doubles and it continues to move at the
same speed what happens to the momentum of the train car?
A 1500 kg car has a momentum of 37,500 kg•m/s. What is the velocity of the car?
1. A bicycle has a momentum of 24 kg•m/s. What momentum would the bicycle have if it had …
a. … twice the mass and was moving at the same speed?
b. … the same mass and was moving with twice the speed?
c. … one-half the mass and was moving with twice the speed?
d. … the same mass and was moving with one-half the speed?
e. … three times the mass and was moving with one-half the speed?
f. … three times the mass and was moving with twice the speed?
2. 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 82-kg running back, changing his eastward velocity of 5.6 m/s into a westward
velocity of 2.5 m/s.
a. Determine the initial momentum of the running back.
b. Determine the final momentum of the running back.
c. Determine the momentum change of the running back.
3. 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
1300-kg car was moving at 11 m/s and stopped in 0.14 seconds.
a. Determine the momentum change of Kara's car.
4.
A 1800 kg lambourghini accelerates from rest at 8 m/s2
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What is the car’s momentum if it has been accelerating for 3.5 s
Impulse problems
Grade > 85 : Answer 3 questions from Tier 1, 3 questions from Tier 2, and 1 question from tier 3
Grade < 85 : Answer 5 questions from Tier 1, 2 question from Tier 2, try one question from tier 3
Everyone answers this question: What is the formula for Impulse?
Tier 1:
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A 5N force acts on a bowling ball for 2 seconds. What is the impulse?
If an object hits an object with 15 N of force and stops in 2 seconds, what is the impulse?
A bowling ball has a momentum of 16 kg m/s. If the bowling ball rolls into a pillow and stops in 0.5 seconds, what is the
force of the pillow on the bowling ball?
If the time of impact in a collision is extended by four times, how much does the force of impact change?
In a car crash, why is it advantageous for an occupant to extend the time during which the collision takes place?
Why is more impulse delivered during a collision when bouncing occurs than during one when it doesn’t?
According to the Guinness Book of World Records, the fastest recorded baseball pitch was delivered by Aroldis
Chapman in 2010. The pitch was clocked at 105.1 mi/hr (47 m / s). Determine the impulse required to give a
0.145-kg baseball such a momentum.
Tier 2:
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When a dish falls, will the impulse be less if it lands on a carpet or if it lands on a hard floor?
A 50 kg carton slides at 4 m/s across an icy surface.
The sliding carton skids onto a rough surface and stops in 3 seconds. Calculate the force of friction it
encounters.
A 1000 kg car moving at 20 m/s slams into a building and comes to a halt. Consider questions a and b below which question
can be answered using the given information and which one cannot be answered? Explain.
a. What impulse acts on the car?
b. What is the force of impact on the car?
4. In a study conducted by a University of Illinois researcher, the football team at Unity High School in Tolono, IL
was equipped for an entire season with helmets containing accelerometers. Information about every impact in
practice and in games was sent to a computer present on the sidelines. The study found that the average
force on a top-of-the-head impact was 1770 N and endured for 7.78 milliseconds. Using a head mass of 5.20
kg and presuming the head to be a free body, determine the velocity change experienced in such an impact.
Tier 3:
1. Cassie has just finished her session on the trampoline during PE. As she prepares to exit the trampoline, her
vertical momentum is reduced by a series of three resistive impulses with the bounce mat. Just prior to this
series of impulses, her 48.5-kg body is moving downward at 8.20 m/s. On the first impulse, Cassie
experiences an average upward force of 230 N for 0.65 seconds. The second impulse of 112 N•s lasts for 0.41
seconds. The last impulse involves an average upward force of 116 N which causes a 84 kg•m/s momentum
change. What vertical velocity does Cassie have after these three impulses?
2. Aaron Agin nodded off while driving home from play practice this past Sunday evening. His 1500-kg car hit a
series of guardrails while moving at 19.8 m/s. The first guard rail delivered a resistive impulse of 5700 N•s.
The second guard rail pushed against his car with a force of 79000 N for 0.12 seconds. The third guard rail
collision lowered the car's velocity by 3.2 m/s. Determine the final velocity of the car.