How large a net force is required to accelerate a 1600-kg SUV from rest to a speed of 25 m/s in a distance of 200 m?
A) 0 N
B) 2500 N
C) 400 N
D) 1600 N
E) 200 N

Question

How large a net force is required to accelerate a  1600-kg SUV from rest to a speed of  25 m/s in a distance of  200 m?
A)  0 N
B)  2500 N
C)  400 N
D)  1600 N
E)  200 N

Quizplus · Accepted Answer

To find the net force required, we can use the work-energy principle. The work done on the SUV is equal to its change in kinetic energy. The kinetic energy (KE) at the final speed can be calculated using the formula KE = 1/2 * m * v^2, where m is the mass (1600 kg) and v is the velocity (25 m/s). This gives KE = 1/2 * 1600 * (25)^2 = 500,000 Joules.Since the work done is also equal to the force times the distance (Work = Force * Distance), and we know the work done is equal to the change in kinetic energy, we can set 500,000 Joules equal to Force * 200 m (the distance). Solving for Force gives us Force = 500,000 / 200 = 2500 N. Therefore, a net force of 2500 N is required.

How Large a Net Force Is Required to Accelerate a