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Chapter 7: Q. 15 (page 177)

Two-thirds of the weight of a 1500kg car rests on the drive wheels. What is the maximum acceleration of this car on a concrete surface?

Short Answer

Expert verified

The maximum acceleration of this car on a concrete surface is6.53m/s2.

Step by step solution

01

Given information

Two-thirds of the weight of a 1500kg car rests on the drive wheels.

02

Calculation

Mass of the car =m1=1500kg

Mass of the part of car on drive wheels =m=2×15003=1000kg

Frictional force F will provide force for the movement of car .

Formulae used :

F=μkm1g⇒F=ma=μkm1g⇒a=μkm1gm…(1)

For concrete ground, μk=1…(2)

Substituting data in equation (2) and equation (1) we get,

localid="1649266075962" ⇒a=1(1000kg)(9.8m/s2)(1500kg)⇒a=6.53m/s2

03

Final answer

The maximum acceleration of this car on a concrete surface is6.53m/s2.

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Most popular questions from this chapter

A 4.0kgbox is on a frictionless 35°slope and is connected via a massless string over a massless, frictionless pulley to a hanging 2.0kgweight. The picture for this situation is similar to FIGURE P7.39.

a. What is the tension in the string if the 4.0kgbox is held in place, so that it cannot move?

b. If the box is then released, which way will it move on the slope?

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Problems 51 and 52 show the free-body diagrams of two interacting systems. For each of these, you are to

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Hint: Think carefully about the acceleration constraint.

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