Force Required to Stop a Boat in Motion

What is the magnitude of the force required to stop a boat with a mass of 1,200 kg traveling at 12 m/s and undergoing a displacement of 85 m?

a. 1,000 N
b. 8,500 N
c. 2,000 N
d. 170 N

Final Answer:

The magnitude of the force required to stop the boat is 8,500 N.

To calculate the force needed to stop the boat, we can use Newton's second law of motion, which states that the force (F) required to change the velocity (Δv) of an object with mass (m) is given by the formula F = m * a, where a is the acceleration.

First, we need to find the acceleration of the boat. The boat is initially traveling at 12 m/s and needs to come to a stop, so its final velocity will be 0 m/s. Using the kinematic equation v^2 = u^2 + 2as, where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the displacement, we can calculate the acceleration.

After finding the acceleration, we can calculate the force required using the formula F = m * a. Upon calculation, we find that the force required to stop the boat is approximately 8,500 N.