a boy pulls a wagon 35.0 meters along a sidewalk using a rope that makes 22.0 degrees angle with the horizontal. how much work does the boy do on the wagon if he exerts a 205 N force on the rope



Answer :

Answer: 739.3 J

Explanation: To find the work done by the boy, you need to use the formula:

W = F × d × cos(θ)

Where W is the work done, F is the force exerted by the boy (205 N), d is the distance traveled by the wagon (35.0 m), and θ is the angle between the force and the direction of motion (22.0 degrees).

First, you need to convert the angle from degrees to radians:

22.0 degrees × (π/180) = 0.384 radians

Now, plug in the values:

W = 205 N × 35.0 m × cos(0.384 rad)

= 205 N × 35.0 m × 0.957

= 739.3 J

So, the boy does 739.3 joules of work on the wagon as he pulls it along the sidewalk.

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