A car of mass m=1000 kg is initially moving with a speed of 30 m/s. The car applies the brakes, which produce a constant braking force . How far will the car travel before coming to a stop?
Options
A
100 m
B
150 m
C
200 m
D
250 m
Answer & Analysis
Answer
A
Analysis
We can solve this using the Work-Energy
Theorem, which states that the work done by the forces acting on the car is
equal to the change in its kinetic energy.
Determine the initial kinetic energy
The car is initially moving with a speed of
, and its mass is . The initial
kinetic energy () is given by:
Work done by the braking force
The braking force is . The car comes to a stop, so the final kinetic energy is 0.
The work done by the braking force (
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