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Chapter 2: Q25P (page 84)
A runner starts from rest and in3 sreaches a speed of . Assume that her speed changed at a constant rate (constant net force).
(a) What was her average speed during this 3 s interval?
(b) How far did she go in this 3 s interval?
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A certain ohmic resistor has a resistance of .A second resistor is made of the same material but is three times as long and has half the cross-sectional area. What is the resistance of the second resistor? What is the effective resistance of the two resistors in series?
Calculate the potential difference along the closed path consisting of two radial segments and two circular segments centred on the charge Q. Show that the four ΔV’s add up to zero. It is helpful to draw electric field vectors at several locations on each path segment to help keep track of signs.
A paddle ball toy consists of a flat wooden paddle and asmall rubber ball that are attached to each other by an elastic band (Figure 2.61). You have a paddle ball toy for which the mass of the ball is 0.015 kg, the stiffness of the elastic band is 0.9 N/m, and the relaxed length of the elastic band is 0.30 m. You are holding the paddle so the ball hangs suspended under it, when your cat comes along and bats the ball around, setting it in motion. At a particular instant the momentum of the ball is , and the moving ball is at location relative to an origin located at the point where the elastic band is attached to the paddle.
(a) Determine the position of the ball 0.1 s later, using of 0.1 s.
(b) Starting with the same initial position
and momentum , determine the position of the ball 0.1 s later, using a of 0.05 s. (c) If your answers are different, explain why.
Consider the three experiments described in Problem 30. Figure 2.58 displays four graphs of Fnet, x, the x component of the net force acting on the cart, vs. time. The graphs start when the cart is at rest, and end when the cart is again at rest. Match the experiment with the graph
cart rolls with low friction on a track. A fan is mounted on the cart, and when the fan is turned on, there is a constant force acting on the cart. Three different experiments are performed:
(a) Fan off: The cart is originally at rest. You give it a brief push, and it coasts a long distance along the track in the +x direction, slowly coming to a stop.
(b) Fan forward: The fan is turned on, and you hold the cart stationary. You then take your hand away, and the cart moves forward, in the +x direction. After traveling a long distance along the track, you quickly stop and hold the cart.
(c) Fan backward: The fan is turned on facing the “wrong” way, and you hold the cart stationary. You give it a brief push, and the cart moves forward, in the +x direction, slowing down and then turning around, returning to the starting position, where you quickly stop and hold the cart. Figure 2.57 displays four graphs of px (numbered 1–4), the x component of momentum, vs. time. The graphs start when the cart is at rest, and end when the cart is again at rest. Match the experiment with the correct graph.
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