A block is being pushed up a frictionless incline by an applied horizontal force

Question

A block is being pushed up a frictionless incline by an applied horizontal force, F=11.9N. (The angle is ? = 24.20 and the mass is 1.70kg.

What is the magnitude in m/s2 of the resulting acceleration of the block?

Please explain how you got the answer. I need to learn this.

A block is being pushed up a frictionless incline by an applied horizontal force, F=11.9N. (The angle is ? = 24.20 and the mass is 1.70kg. What is the magnitude in m/s^2 of the resulting acceleration of the block? Please explain how you got the answer. I need to learn this.

Explanation / Answer

net fprce horizontal to the surface,

Fnet = F*cos(24.2) - m*g*sin(24.2)

m*a = 11.9*cos(24.2) - 1.7*9.8*sin(24.2)

a = (11.9*cos(24.2) - 1.7*9.8*sin(24.2))/1.7

= 2.37 m/s^2

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