How large a force is required to accelerate a 1600 kg car from rest to a speed of 25 m/s in a distance of 200 m?

Question

Quizplus · Accepted Answer

We can use the equation:

acceleration = (final velocity - initial velocity) / time

Since the car is starting from rest, the initial velocity is 0. We are given the final velocity and the distance traveled, but we need to find the time it takes to cover that distance. We can use the equation:

distance = (initial velocity + final velocity) / 2 * time

Plugging in our values:

200 m = (0 + 25 m/s) / 2 * time

time = 16 s

Now we can use the first equation to find the force:

acceleration = force / mass

rearranging:

force = acceleration * mass

The acceleration is (25 m/s) / (16 s) = 1.5625 m/s^2

Plugging in our values:

force = 1.5625 m/s^2 * 1600 kg = 2500 N

Therefore, the answer is E.

How Large a Force Is Required to Accelerate a 1600