Question

An crate weighing 530 N is resting on a plane inclined 35° above the horizontal.

(a) Calculate the magnitude of the acceleration (ignore friction).

(b) After 4.00 s, how fast will the crate be moving?

Answer 1

(a) 5.62 m/s²

(b) 22.5 m/s

Explanation:

You want the magnitude of the acceleration of a crate on a frictionless plane inclined at 35° from the horizontal. And you want the speed after 4 seconds.

(a) Acceleration

The acceleration will be the component of the acceleration due to gravity that is in the direction down the plane.

(9.8 m/s²)·sin(35°) ≈ 5.62 m/s²

(b) Speed

The speed of the crate will be the product of the acceleration and time:

v = at = (5.6 m/s²)(4 s) = 22.5 m/s

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