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Chapter 2: Q2-9P (page 82)

Question: A truck driver slams on the brakes and the momentum of the truck changes fromtoindue to a constant force of the road on the wheels of the truck. As a vector, write the net force exerted on the truck by the surroundings.

Short Answer

Expert verified

The net force exerted on the truck by the surrounding is-9512.2,0,0N

Step by step solution

01

Definition and the formula of the net force

The rate of change of a particular system’s momentum will be equated to the net force applied to that system.

If the system's momentum changes from initial momentum to final momentum over time , the force acting on the system will be,

F→net=P→2- P→1∆t

02

Finding the net force on the system

Substitute forP→1, 26,000,0,0Kg‐m/sfor P→2, and 4.1sfor∆t∆t

into the formula of the net force acting on the system

F→net=26.000,0,0kg·m/s-65.000,0,0kg·m/s4.1s=26.000-65.000,0-0,0-0kg·m/s4.1s=-39.000,0,0kg·m/s4.1s=-9512.2,0,0 N

Therefore, the net force on the system is-9512.2,0,0

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Most popular questions from this chapter

Question: You observe three carts moving to the left. Cart A moves to the left at nearly constant speed. Cart B moves to the left, gradually speeding up. Cart C moves to the left, gradually slowing down. Which cart or carts, if any, experience a net force to the left?

You observe three carts moving to the left. Cart A moves to the left at nearly constant speed. Cart B moves to the left, gradually speeding up. Cart C moves to the left, gradually slowing down. Which cart or carts, if any, experience a net force to the left?

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?

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.

On a straight road with the +x axis chosen to point in the direction of motion, you drive for 3 h at a constant 30 mi/h, then in a few seconds you speed up to 60mi/h and drive at this speed for 1 h.

(a) What was the x component of average velocity for the 4 h period, using the fundamental definition. Of average velocity, which is the displacement divided by the time interval?

(b) Suppose that instead you use the equation vavg,x=(vix+vfx)2. What do you calculate for the x component of average velocity?

(c) Why does the equation used in part (b) give the wrong answer?
See all solutions

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