Question

if the mass of one of the cars in a collision is doubled while keeping the speed constant, what effect does this have on the force of impact during the collision?
the force of impact
cannot be determined
without knowing the
speed of the other car.
the force of impact will
decrease.
the force of impact will
increase.
the force of impact will
remain the same.

Explanation:

Step1: Recall the formula for force

Force \(F = ma\) (Newton's second law). In a collision, assuming the time of collision and the change in velocity (related to acceleration) are constant (since speed is constant as per the problem), if mass \(m\) is doubled.

Step2: Analyze the effect on force

If \(m\) becomes \(2m\) (doubled) and \(a\) (related to the change in velocity over time of collision) is constant (because speed is constant), then \(F = ma\) becomes \(F'=(2m)a = 2(ma)\). So the force of impact will increase.

Answer:

The force of impact will increase.