Your task is to help your friend, Ben Franklin with his senior design project. B

Question

Your task is to help your friend, Ben Franklin with his senior design project. Ben wants to build a vehicle powered by capacitors. Ben's vehicle will compete against other vehicles in climbing a 10-meter high h The vehicle must have sufficient energy to reach the top of the h Assume that the mass of the vehicle is 1.5 kg, and that the total mass of the capacitors used in the vehicle is negligible by comparison with the mass of the vehicle. Assume also that the capacitors will be initially charged to a voltage of 25 V. The total capacitance that will be needed is approximately: A) 300 micro-Farad B) 63 Farad C) 0.47 Farad

Explanation / Answer

potential energy required to go up the hill= m gh= 1.5(9.8)(10)=147j

this energy must be equal to the energy stored in the capacitor= 1/2 c v2

1/2 c (25)2 = 147

c=0.47 Farad

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