An un-powered go-cart(mass 40 kg) traveling at an intial speed of 5m/s coasts do

Question

      An un-powered go-cart(mass 40 kg) traveling at an intial speed of 5m/s coasts down alevel road for 50 m before coming to rest. About how muchforce would have to be applied to keep cart moving at a constantspeed? Constant speed tells me there is zero acceleration. I knowFnet =Ma

Fnet=0. Acceleration is Change in velocity over change in time.

I'm not sure how to set this problem up for solving. Morespecifically how does the distance traveled help me find constantacceleration?       An un-powered go-cart(mass 40 kg) traveling at an intial speed of 5m/s coasts down alevel road for 50 m before coming to rest. About how muchforce would have to be applied to keep cart moving at a constantspeed? Constant speed tells me there is zero acceleration. I knowFnet =Ma

Fnet=0. Acceleration is Change in velocity over change in time.

I'm not sure how to set this problem up for solving. Morespecifically how does the distance traveled help me find constantacceleration?

Explanation / Answer

let the acceleration be a when the car travel the 50m down, wehave: vf2 - vi2 =2as 0-(5m/s)2 = 2*50m*a a = -(5m/s)2 / 100m = -0.25 m/s2 the friction force Fs = ma =40kg*(-0.25m/s2) = -10N to keep the car running at constant speed, the force need toapply is F and F+Fs = 0 =>F = 10N the friction force Fs = ma =40kg*(-0.25m/s2) = -10N to keep the car running at constant speed, the force need toapply is F and F+Fs = 0 =>F = 10N

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