Q1: A cart rests on an inclined track that makes an angle with respect to the ho
ID: 1586703 • Letter: Q
Question
Q1: A cart rests on an inclined track that makes an angle with respect to the horizontal. the cart is held in place by a light string passing over a pulley. The other end of the string is attached to a force sensor that is bolted to the table, as shown in the diagram below.
The mass of the cart is 0.775 kg and the force sensor reports a force of 4.36 N.
A) Find the angle of incline. (Include angular units, "deg" or "rad", as appropriate.)
-which I found was 35 deg (correct answer)
B) Find the magnitude of the normal force N. Use appropriate units
(p.s the answer apparently is not 6.06 or 4.36)
Q2: Two freely rolling carts, A and B, are pushed along a frictionless track, with cart A being pushed by someone's hand, and cart B being pushed by cart A. cart A has mass mA = 1.50 kg and cart B has mass mB = 3.15 kg. The acceleration of the carts is a = 1.30 m/s2. The acceleration of gravity g = 9.81 m/s2
A) Find the magnitude of the force exerted by cart B on cart A:
-which I found to be 4.10 N (correct answer)
B) Find the magnitude of the force exerted by the hand on cart A. Use approproate units.
(p.s. answer is NOT not 5.1 N)
Explanation / Answer
A). Find the angle of incline. (Include angular units, "deg" or "rad", as appropriate.)
Force along the incline mgSin() = 4.36
= arcSin(4.36/0.775*9.8) = 35.030
B) Find the magnitude of the normal force N. Use appropriate units
(p.s the answer apparently is not 6.06 or 4.36)
The normal force N = mgCos() = 0.775*9.8*Cos(35.03) = 6.22 N
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