The spring scale in the diagram below reads 10.5 N. The cart moves toward the ri

Question

The spring scale in the diagram below reads 10.5 N. The cart moves toward the right with an acceleration toward the right of 3.5 m/s2 Suppose a second spring scale is combined with the first and acts in the same direction as shown in the diagram that follows. The spring scale FA still reads 10.5 N. The cart now moves toward the right with an acceleration toward the right of 4.50 m/s2. What is the net force on the cart? What does spring scale FB read? Show your calculations and explain. Suppose a second spring scale is combined with the first and acts in the opposite direction as shown in the diagram that follows. The spring scale FA still reads 10.5 N. The cart now moves toward the right with an acceleration toward the right of 2.50 m/s2. What is the net force on the cart? What docs spring scale FB read? Show your calculations and explain. Which of Newton's first two laws apply to the situations in this problem?

Explanation / Answer

F=ma

FA =10.5 , a =3.5 m/s2

m =FA/a =10.5/3.5 =3kg

(a) a =4.5 m/s2

F=ma =3x4.5 =13.5 N

FA +FB = F

10.5+FB =13.5

FB = 3 N

(b) a =2.5 m/s2

F =ma =3x2.5 =7.5 N

FA -FB = F

10.5-FB =7.5

FB = 3 N

(c) Newton's second law is used in this problem

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