Answer:
6750 N
Explanation:
There are two ways to solve this problem. One method is to use impulse equations; impulse (J) is equal to the change in momentum (Δp), and is also equal to the average force times the time interval (FΔt). Another method is to use kinematics to find the average acceleration, then use Newton's second law of motion to find the force (F = ma).
Using impulse:
J = Δp = FΔt
mΔv = FΔt
F = mΔv / Δt
F = (45 kg) (0 m/s − 15 m/s) / (0.1 s)
F = -6750 N
Alternatively, we can use kinematics to find acceleration:
v = u + at
0 m/s = 15 m/s + a (0.1 s)
a = -150 m/s²
Applying Newton's second law:
F = ma
F = (45 kg) (-150 m/s²)
F = -6750 N
The magnitude of the force is 6750 N.
