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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 woman living in a third-story apartment is moving out. Rather than carrying everything down the stairs, she decides to pack her belongings into crates, attach a frictionless pulley to her balcony railing, and lower the crates by rope. How hard must she pull on the horizontal end of the rope to lower a 25kgcrate at steady speed?

The coefficient of kinetic friction between the 2.0kgblock in FIGURE P7.38 and the table is 0.30. What is the acceleration of the 2.0kg block?

Your forehead can withstand a force of about 6.0kNbefore fracturing, while your cheekbone can withstand only about 1.3kN. Suppose a 140gbaseball traveling at 30m/sstrikes your head and stops in 1.5ms

a. What is the magnitude of the force that stops the baseball?

b. What force does the baseball exert on your head? Explain.

c. Are you in danger of a fracture if the ball hits you in the forehead? On the cheek?

FIGURECP7.58shows three hanging masses connected by massless strings over two massless, frictionless pulleys.

a. Find the acceleration constraint for this system. It is a single equation relatinglocalid="1649865348893" a1y,a2y,anda3y.Hint:yAisn’t constant.

b. Find an expression for the tension in string A.Hint: You should be able to write four second-law equations. These, plus the acceleration constraint, are five equations in five unknowns.

c. Suppose:m1=2.5kg,m2=1.5kg,andm3=4.0kg.Find the acceleration of each.

d. The 4.0kgmass would appear to be in equilibrium. Explain why it accelerates.

What is the acceleration of the 3.0kgblock in FIGURECP7.55across the frictionless table?

Hint: Think carefully about the acceleration constraint.
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