A block of mass 21 kg slides up a frictionless plane inclined at 13◦ with the horizontal under the influence of a force of 210 N acting parallel to the incline and up the incline. The acceleration of gravity is 9.8 m/s 2. What is the acceleration of the block? Answer in units of m/s 2.

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Physics

11 February, 03:03

A block of mass 21 kg slides up a frictionless plane inclined at 13◦ with the horizontal under the influence of a force of 210 N acting parallel to the incline and up the incline. The acceleration of gravity is 9.8 m/s 2. What is the acceleration of the block? Answer in units of m/s 2.

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Answers (1)

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Kenley Weeks · Answer 1

a = 8.74 m/s²

Explanation:

Given that

m = 21 kg

θ = 13◦

F = 210 N

g = 9.8 m/s²

The force due to gravity

F₁ = m g sinθ

F₁=12 x 9.8 x sin 13◦

F₁=26.45 N

Lets take acceleration is a m/s²

Form Newtons second law

F - F₁ = m a

210 - 26.45 = 21 x a

a = 8.74 m/s²