A car is sliding down freely on an inclined plane with acceleration ‘a’ without any external force, now if we consider the plane to be frictional less then which of the following statement is correct?

Question

A car is sliding down freely on an inclined plane with acceleration ‘a’ without any external force, now if we consider the plane to be frictional less then which of the following statement is correct?

The rate at which car accelerate will depend only on its mass
The rate at which the car is acceleration will depend on both masses of car and angle of inclination
The rate at which the car is acceleration will only depend on acceleration due to gravity and angle of inclined.
We cant predict because of insufficient data.

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

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AhmedNazir · Accepted Answer · 2022-09-04T04:29:57+06:00

Option 3 : The rate at which the car is acceleration will only depend on acceleration due to gravity and angle of inclined.

CONCEPT:

Friction Force: It is a kind of resisting force that acts between two contact bodies to avoid relative motion between them.

It is formed due to the close interaction of charged particles at the surface of the bodies due to electromagnetic forces.
Mathematically it is represented as Friction force = μ N.
Where N = normal force = m × g
Normal force: It is a force that is exerted by the surface perpendicular to the body. It is a component of the contact force.

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Explanation:

From the given condition if a car was sliding down on an inclined frictionless plane, its Freebody diagram can be represented as given below

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In this, we can see that the rate at which car can acceleration freely will be directly proportional to sin component of acceleration due to gravity

i.e., a = g sin θ

This means that the acceleration of the car will only depend on acceleration due to gravity and the angle of inclination of the given plane.

Here,

a = acceleration of the car

g = acceleration due to gravity

θ = angle of inclination