You promised your younger brother that you would give him a ride on his sled. You first push him from behind with a force of magnitude F1 directed downward at an angle of 25° below the horizontal. After a while you decide to pull him with a force of magnitude F2 directed upward at the same angle above the horizontal.In both cases the sled moves with the same acceleration and friction is negligible. Which of the following statements is true regarding the two forces you used?F1 = F2F1 > F2 F1 < F2not enough information
Question
You promised your younger brother that you would give him a ride on his sled. You first push him from behind with a force of magnitude F1 directed downward at an angle of 25° below the horizontal. After a while you decide to pull him with a force of magnitude F2 directed upward at the same angle above the horizontal.In both cases the sled moves with the same acceleration and friction is negligible. Which of the following statements is true regarding the two forces you used?F1 = F2F1 > F2 F1 < F2not enough information
Solution
The correct answer is F1 = F2.
Here's why:
Since the sled moves with the same acceleration in both cases and friction is negligible, the net force acting on the sled is the same in both cases.
When you push the sled, the force you apply (F1) is directed downward at an angle, but the component of this force that actually moves the sled is horizontal. The same is true when you pull the sled - the force you apply (F2) has a component that is horizontal.
Since the sled's acceleration is the same in both cases, the horizontal component of the force you apply must also be the same in both cases. Therefore, F1 = F2.
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