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Physics problem f=ma friction incline help?

Block M = 7:50 kg is initially moving up the incline and is increasing speed with

a = 4.87 m/s2. The applied force F is horizontal. The coefficients of friction

between the block and incline are Mu-s = 0:443 and Mu-k = 0:312. The angle of the incline is

25.0 degrees.

(a) What is the magnitude of the force F?

I've tried this one a lot but I can't calculate the normal force. Without the normal force i can't find the total friction and thereby cannot find the force f. Help?

Update:

because the force applied is horizontal on the block, it is pushing the block down which increases the normal force, so it isn't just mgsin(theta)

2 Answers

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  • 1 decade ago
    Favorite Answer

    By F(net) = F(applied) - F(gravity) - F(friction)

    =>m x a = F x cos 25* - mgsin25* - µk x N

    =>7.5 x 4.87 = 0.91F - 7.5 x 9.8 x 0.42 - 0.312 x [mgcos25* + Fsin25*]

    =>36.53 = 0.91F - 30.87 - 0.312 x 7.5 x 9.8 x 0.91 - 0.312 x 0.42F

    =>F = 113.32 Newton

  • 1 decade ago

    I think what you are looking for in this problem is force of gravity in the y-direction. So I think it's 9.81sin(theta)

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