Conservation of Momentum Problem? Physics help?
A 2110 kg car traveling to the west at 21.2m/s slows down uniformly under a force of
8260 N to the east.
a) How much force would be required to
cause the same acceleration on a car of mass
3250 kg?
Answer in units of N.
b) How far would the car move before stopping?
Answer in units of m.
1 Answer
Relevance
- NCSLv 71 month agoFavourite answer
Nothing to do with conservation of momentum. Maybe conservation of energy on part b, but you could instead use kinematics.
a) For the same acceleration, the ratio of force to mass is the same:
F / 3250kg = 8260N / 2110kg → F = 12,723 N (east)
b) By conservation of energy,
½mv² = Fd
½*2110kg*(21.2m/s)² = 8260N * d → d = 57.4 m
By kinematics,
v² = u² + 2ad
substitute a = -F/m and get
0² = 21.2² - 2*(8260/2110)*d
with the same result.
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