Laws Of Motion

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A car of mass 1000 kg moves on a circular track of radius 40 m. If the coefficient of friction is 1.28. The maximum velocity with which the car can be moved, is

22.4 m/s

112 m/s

$\frac{0.64 \times 40}{1000 \times 100}$ m/s

1000 m/s

Solution

22.4 m/s

A car moves in a circular track so it perform circular motion.

According to second law the force providing this acceleration is

f_c = $\frac{{mv}^{2}}{R}$

But according to static friction

f_s ≤ μ_s N

f = $\frac{m v^{2}}{R} ⩽ μ_{s} N$

$v_{\max} = \sqrt{μ R g}$

Given:- μ = 1.28

where μ is the coefficient of friction

R = 40 m

The maximum velocity

v_max = $\sqrt{μ R g}$

= $\sqrt{1.28 \times 40 \times 9.8}$

v_max = 22.4 m/s

Some More Questions From Laws of Motion Chapter

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Laws Of Motion

A car of mass 1000 kg moves on a circular track of radius 40 m. If the coefficient of friction is 1.28. The maximum velocity with which the car can be moved, is

22.4 m/s

112 m/s

$\frac{0.64 \times 40}{1000 \times 100}$ m/s

1000 m/s

Some More Questions From Laws of Motion Chapter

Is Aristotle’s law of motion now correct?

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Which law of motion is also called law of inertia?

What is measure of inertia of body?

Which law of motion defines the force?

What happens to a stone tied to the end of string and whirled in a circle if the string suddenly breaks?

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Laws Of Motion

A car of mass 1000 kg moves on a circular track of radius 40 m. If the coefficient of friction is 1.28. The maximum velocity with which the car can be moved, is 22.4 m/s 112 m/s 0.64 × 401000 × 100m/s 1000 m/s

Some More Questions From Laws of Motion Chapter

Is Aristotle’s law of motion now correct?

State Galileo’s law of motion.

Define inertia.

When the branches of an apple tree are shaken, the apples fall down. Why?

A person jumping out from a moving car or bus falls forward. Why?

Due to what type of inertia, the spark leaves the grind stone tangentially while sharpening the knife?

Which law of motion is also called law of inertia?

What is measure of inertia of body?

Which law of motion defines the force?

What happens to a stone tied to the end of string and whirled in a circle if the string suddenly breaks?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A car of mass 1000 kg moves on a circular track of radius 40 m. If the coefficient of friction is 1.28. The maximum velocity with which the car can be moved, is

22.4 m/s

112 m/s

$\frac{0.64 \times 40}{1000 \times 100}$ m/s

1000 m/s