Question

The Pac-Man arcade game went out of order at Fat Max's arcade. Max is dragging it 5 m across the ground and out of the store with a rope tied to the center of the game and pulls out at a 45° angle. What is the force he exerts if he performs 3500 J of work?

Options:
a. 3500 N
b. 5000 N
c. 7000 N
d. 10,000 N

Answer 1

Max exerts a force of 989 N to move the Pac-Man game using a rope tied to its center at a 45° angle, performing 3500 J of work.

Step-by-step explanation:

The work done by a force is calculated using the formula:

Work = Force x Distance x Cos(angle)

In this case, Max exerts a force of unknown magnitude at a 45° angle to move the Pac-Man game 5 m.

Given that the work done is 3500 J, we can rearrange the formula and solve for force:

Force = Work / (Distance x Cos(angle))

Plug in the values:

Force = 3500 J / (5 m x Cos(45°))

Using a calculator, Cos(45°) is approximately 0.7071.

Force = 3500 J / (5 m x 0.7071)

Force = 988.94 N

Rounded to the nearest whole number, the force exerted by Max is 989 N.