Question

Instead of lifting the box straight up, suppose you push it up a 1. 0- m -high ramp that makes a 30 ∘ degree angle with the horizontal, as shown in (Figure 1). Being clever, you choose a ramp with no friction. How much force is required to push the box straight up the slope at a constant speed?.

Answer 1

The required force to push the box straight up at a constant speed is zero.

Net force on the box at constant speed

The net force on the box is calculated by applying Newton's second law of motion as follows;

∑F = 0

F - Ff = ma

(at constant speed, acceleration is zero)

$F- F_f = ma\\\\F - 0 = 0\\\\F = 0$

Thus, the required force to push the box straight up at a constant speed is zero.

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