A box is pressed against a horizontal spring, compressing the spring from its relaxed length. The box is then released and the spring launches the box horizontally along a track that ends in a ramp, as shown above. The box has enough speed to leave the ramp, and the box reaches a maximum vertical height above the floor. Assume there is negligible friction between the box and the track and air resistance is negligible. The scenario is repeated with the box compressing the spring a distance that is larger than the original distance x. (a) Indicate how h in this second scenario compares to h in the original scenario, and explain why without mathematically deriving a relation for h.
A box is pressed against a horizontal spring, compressing the spring from its relaxed length. The box is then released and the spring launches the box horizontally along a track that ends in a ramp, as shown above. The box has enough speed to leave the ramp, and the box reaches a maximum vertical height above the floor. Assume there is negligible friction between the box and the track and air resistance is negligible.
The scenario is repeated with the box compressing the spring a distance that is larger than the original distance x.
(a) Indicate how h in this second scenario compares to h in the original scenario, and explain why without mathematically deriving a relation for h.
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