Suppose you want to ride your mountain bike up a steep hill. two paths lead from the base to the top, one twice as long as the other. compared to the average force you would exert if you took the short path, the average force you exert along the longer path is 1. one third as much. 2. the same. 3. unable to determine; it depends on the time taken. 4. one half as much. 5. one fourth as much.

Explanation:

Assuming that both pathways are simple path without any obstacles. And let say that the friction force is negligible.

Since the upward distance are the same, the amount energy converted into potential energy should be the same. This is because the gain in potential energy is dependent on mass, gravitational force and height difference.

In this question, the height difference are the same regardless of pathways.

Therefore, the amount of work done = the amount of energy converted into potential energy

W = mgh

W= F x distance

F = W / distance

Since the height difference is the same (i.e vertical distance is equal), the Force will be equal too

radiation

explanation:

heat is transmitted by radiation

the total distance that martina travels that day is

(distance from home to mom's office) plus (distance from mom's office to school)

plus (distance from school to library) plus (distance from library to friend's house)

plus (distance from friend's house to martina's house).

(we don't know what any of these distance actually is.)