two construction workers must each push a creat up a ramp against the force of g

Question

two construction workers must each push a creat up a ramp against the force of gravity and the force of friction. the first worker pushes his crate directly up, the second worker pushes his along a zigzag path, which is twice as long as the path of the first worker. the second worker did

a. twice as much work against gravity and twice as much work against friction as the first worker

b. twice as much work against gravity and the same amount of work against friction as the first worker

c. the same amount of work against against gravity and twice as much work against friction as the first worker.

d. the same amount of work against gravity and the same amount of work against friction as the first worker.

Explanation / Answer

c. the same amount of work against against gravity and twice as much work against friction as the first worke

since gravitational work is not path dependent it depends on initial and final points . Where as friction work is path dependent

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