Question

The world's most powerful tugboats are built in Finland. One of these boats can do 9.8×10^7 J of work through a distance of 35m. What is the force exerted by the tugboat?

a. 2.8×10⁶ N
b. 2.0×10⁵ N
c. 2.8×10⁵ N
d. 2.0×10⁶ N

Answer 1

The force exerted by the tugboat is calculated by dividing the work done by the distance, resulting in a force of 2.8×10^6 Newtons.

Step-by-step explanation:

This asks about the force exerted by one of the world's most powerful tugboats built in Finland, given the work done and the distance over which the work was performed. Using the formula for work (W = F × d), where W is work, F is force, and d is distance, we can calculate the force. Given that the work done (W) is 9.8×107 Joules and the distance (d) is 35 meters, we can rearrange the equation to solve for force (F = W/d). So F = 9.8×107 J / 35 m, which calculates to approximately 2.8×106 Newtons (N). Therefore, the force exerted by the tugboat is 2.8×106 N, which corresponds to option a.