Question

Velocity- time graph of a moving particle is shown in the figure. How much force acts on the particle? Give reason

Answer 1

answer is 0

Explanation:

to find the force we need mass and acceleration here in the graph there is no mass and acceleration

Acceleration means rate of change of momentum here the velocity is 0 so the acceleration is also 0

F=m×0

= 0

Answer 2

The force that acts on the particle is 0 N.

Given,

Velocity-time graph has a parallel to x-axis.

To find,

the force acting on the particle.

Solution:

• Velocity is equal to the displacement covered by a body per unit time. It is a vector quantity i.e. it has both magnitude and direction.
• The rate of change of velocity of an object gives the acceleration of that object. It is a vector quantity.
• The slope of a velocity-time graph gives the acceleration of the object.

The slope of the given velocity-time graph is calculated as:

$slope=\frac{dv}{dt} \\slope=m\\m=tan(theta).$

As it is a straight line curve parallel to the x-axis, the slope will be equal to 0.

Thus, acceleration is equal to 0.

• Force is equal to the product of the mass of an object and its acceleration.

$F=mXa$

where,

m-mass of the body

a =-acceleration of the body.

As the acceleration is 0 so the force acting on the particle will also be 0.

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