Spring Scale Two Two forces are applied to a cart with two different spring scal
ID: 1332680 • Letter: S
Question
Spring Scale Two Two forces are applied to a cart with two different spring scales as shown in Fig. 3-54. The spring scale reads 15 N. The cart had an initial velocity of 0.00 m/s when the two forces were applied. It remains at rest after the combined forces are applied. What is the net force on the cart? What does spring scale read? Show your calculations and explain. The cart had an initial velocity of +0.75 m/s and so it was moving to the right when the two forces were applied. It continues moving to the right at that same velocity after the combined forces are applied. What is the net force on the cart? What does spring scale read? Show your calculations and explain. The cart had an initial velocity of -0.39 m/s and so it was moving to the left when the two forces were applied. It continues moving to the left at that same velocity after the combined forces are applied. What is the net force on the cart? What does spring scale read? Show your calculations and explain.Explanation / Answer
(a)Initial velocity of the cart = 0 m/s
Accelaration in the cart = 0 m/s F1<-----------0------------->F2
Hence net force on the cart = 0 N
Hence F1 = F2
i.e F2 = 15N
(b) Initial velocity of the cart = 0.75 m/s towards right
It moves with uniform velocity, acceleration in the body a = 0
Net force acting on the body F = F1 –F2
Ma = 15-F2
M(0) = 15-F2
0= 15-F2
F2 = 15N
(c) Velocity of the cart towards left = 0.39m/s
It moves with uniform velocity, acceleration in the body a = 0
Net force acting on the body F = F2 –F1
Ma =F2-15
M(0) = F2-15
0= F2-15
F2 = 15N
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