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A force is applied to a 1.5-kg radio-controlled model car parallel to the x -axi

ID: 1281789 • Letter: A

Question

A force is applied to a 1.5-kg radio-controlled model car parallel to the x-axis as it moves along a straight track. The x-component of the force varies with the x-coordinate of the car as shown in figure (Figure 1).Suppose the model car is initially at rest at x=0 and F?  is the net force acting on it.

a. Use the work-energy theorem to find the speed of the car at x=3.0m.

b. Use the work-energy theorem to find the speed of the car at x=4.0m.

c. Use the work-energy theorem to find the speed of the car at x=7.0m.

A force is applied to a 1.5-kg radio-controlled model car parallel to the x-axis as it moves along a straight track. The x-component of the force varies with the x-coordinate of the car as shown in figure (Figure 1).Suppose the model car is initially at rest at x=0 and F? is the net force acting on it. a. Use the work-energy theorem to find the speed of the car at x=3.0m. b. Use the work-energy theorem to find the speed of the car at x=4.0m. c. Use the work-energy theorem to find the speed of the car at x=7.0m.

Explanation / Answer

a) work done = area under the Fvs x curve   = change in K.E. emergy


2*2 /2 + 1*2 = 1.5 v^2 /2

v = 2.31 m/s

b) work done = area under the Fvs x curve   = change in K.E. emergy

2*2 /2 + 1*2 + 0 = 1.5 v^2 /2

v = 2.31 m/s

c)

2*2 /2 + 1*2 +0   - 1 x 2/2 = 1.5 v^2 /2

v = 2 m/s

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