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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 .

Respuesta :

Answer:

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