What is the magnitude of the acceleration of the crate? The next two questions p

Question

What is the magnitude of the acceleration of the crate?

The next two questions pertain to the situation described below A crate sits on a frictionless surface and a tension force is applied to it The tension (by means of a string) is applied at an angle = 30° to the horizontal The magnitude of the tension force is T-18 N, and the crate has mass M-35 kg. 17) What is the magnitude of the acceleration of the crate? a. 0.257 m/s2 b. 0.514 m/s2 c. 0.642 m/s2 d. 0.445 m/s2 e. 0.321 m/s2 18) Which relationship below best describes the magnitude of the normal force that the surface exerts on the crate? a, N = Mg

Explanation / Answer

17) in horizontal,

Fnet = m a

T cos30 = 35 a

a = (18 cos30) / 35 = 0.445 m/s^2

Ans(d)

18. in vertical,

Fnet = N + T sin30 - M g = 0

M g - N = T sin30 > 0

M g > N

or N < M g

Ans(c)

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