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Imagine a cyclist coasting down a 5.0◦ incline at a constant speed of 6.0 km/h because...

Imagine a cyclist coasting down a 5.0◦ incline at a constant speed of 6.0 km/h because of air resistance. If the total mass of the bicycle + cyclist is 50 kg, how much force must be generated to climb back up the incline at the same speed (and same air resistance)?

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Answer #1

the downward velocity is constant, so net acceleration must be zero

hence the air drag must be equal to gravitational force downward along the ramp

Fa = mg sin x

now for upward motion

Fnet = mg sin x + air drag

Fnet = 2 mg sin x = 2* 50* 9.8* sin 50

F net = 758.72 N

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