Question

The force on a ship's sail is 1.50 N. If this were the only force acting on the 300 kg ship, by how much would its speed increase after 10 minutes of sailing?

a. −3 m/s
b. 4.1 m/s
c. 0.05 m/s
d. 3 m/s

Answer 1

The speed of a 300 kg ship subjected to a force of 1.50 N would increase by 3 m/s after 10 minutes of the force being applied.

Step-by-step explanation:

To determine the increase in speed of a 300 kg ship subjected to a force of 1.50 N over 10 minutes, we can use the formula from Newton's second law F = ma, where F is the force, m is the mass, and a is the acceleration. Rearranging the formula to solve for acceleration gives us a = F/m. In this case, a = 1.50 N / 300 kg = 0.005 m/s². The increase in speed (change in velocity) can be found using the formula v = at, where v is the final velocity, a is the acceleration, and t is the time in seconds. Since 10 minutes is 600 seconds, the increase in speed after 10 minutes would be v = 0.005 m/s² × 600 s = 3 m/s.