A Hot Wheels car, whose mass is 200g is hauling a mass block of 150g along a fla

Question

A Hot Wheels car, whose mass is 200g is hauling a mass block of 150g along a flat table surface with a string as shown in the graph below. Assume the car and the attached mass is moving with an initial velocity of 1.7 m/s. A student predicts that the car will travel a maximum distance of 42 cm. Is this a reasonable prediction? Explain fully. If the Hot Wheels car was not moving on the flat surface, instead, it drives downhill on an incline of 30 degree. Does the maximum travel distance change? If so, how much change do you expect? Explain in detail how you arrived at your conclusion.

Explanation / Answer

1. from conservation of mechanical energy, we have

1/2 (M+m)V^2 = mgh

h = (M/m+1) V^2/(2g)

=(200/150+1) *2.89/19.6

=0.344 m

the car can only travel 0.344m, so his prediction is incorrect.

2. Yes, it does, in this case we have

1/2 (M+m)V^2 = mgh -Mgh*sin30o

1/2 0.35*2.89 = (0.15-0.1)*9.8 h

h = h = (0.35/0.05)*2.89/19.6

=1.03 m

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