Imaginge that an unpowered go-cart (with a child rider)traveling at an initial s

Question

Imaginge that an unpowered go-cart (with a child rider)traveling at an initial speed of 5 m/s coasts on a level road forabout 50 m before coming to rest. If the cart and the rider have amass of 40 kg, about what force would you have to apply to keep thecart moving at a constant speed? Assume that the friction forcesacting on the cart are essentially independent of speed. (Hint:Use the concept of work to compute the magnitude of thetotal friction/ drag force acting on the cart then link this forceto your force). Imaginge that an unpowered go-cart (with a child rider)traveling at an initial speed of 5 m/s coasts on a level road forabout 50 m before coming to rest. If the cart and the rider have amass of 40 kg, about what force would you have to apply to keep thecart moving at a constant speed? Assume that the friction forcesacting on the cart are essentially independent of speed. (Hint:Use the concept of work to compute the magnitude of thetotal friction/ drag force acting on the cart then link this forceto your force).

Explanation / Answer

let the acceleration is a vf = 0, vi = 5 m/s, s = 50m => 0 - vi2 = 2as a = - vi2 /2s = -(5m/s)2 /(2*50m) = -0.25 m/s2 the friction force is: F = ma = 40kg*(-0.25m/s2) = -10N we have another force forward F1 + F = F1 - 10N = 0 to keep itmove with conatnts speed: the force F1 = 10N we can use work to do this too: W = F*d = KE KE = 0 - (1/2)mv2 =-(1/2)*40kg**(5m/s)2 =- 500J F*50m = -500J =>F = -10N the friction force is: F = ma = 40kg*(-0.25m/s2) = -10N we have another force forward F1 + F = F1 - 10N = 0 to keep itmove with conatnts speed: the force F1 = 10N we can use work to do this too: W = F*d = KE KE = 0 - (1/2)mv2 =-(1/2)*40kg**(5m/s)2 =- 500J F*50m = -500J =>F = -10N

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