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A professor has to haul a cart down a ramp. The ramp has an angle of...

A professor has to haul a cart down a ramp. The ramp has an angle of about 10 degrees and is about 5 meters long. His initial speed at the top of the ramp is 4.9 m/s, and the cart has a mass of about 95 kg. How hard does he have to pull on the cart so that at the bottom of the ramp, its speed does not exceed 5.9 m/s? Neglecting friction, what is the magnitude of the minimum force he has to exert on the cart?

Please show all work and explain the equations that you use!

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Answer #1

Find the acceleration required using equation of kinematics. Then use Newton’s law motion to write equation of motion for the cart and solve it to find the required magnitude of minimum force as shown below.

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