Question

5. A force produces an acceleration of 2 m/s square on a mass. Three such masses are tied
together and the same force is exerted. Find the acceleration produced in the
combination.
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Answer 1

Answer:

If force is exerted is same, then there mass and acceleration will also be the same. As per F= ma.

Total no. of object : 3 ,

Each produces = 2m/s²

Combination ( a) = 2 × 3 = 6 m/s²

Answer 2

Concept:

An external force has the ability to change the position of a body when it is moving or at rest.

Acceleration is the rate at which an object's velocity with respect to time changes.

The total amount of matter in a physical body is its mass. The body's resistance to acceleration when a net force is applied is known as inertia, and this quantity also measures it.

Given:

The force produces an acceleration of a mass is $2m/s^2$.

Three masses are tied together and the same force is exerted.

Find:

The acceleration that is produced by the masses together.

Solution:

The force produces an acceleration of $2m/s^2$.

$F=2m$

If the force exerted is the same.

When the three masses are combined together:

F = ma

$2m=(m+m+m)a\\2m=3ma\\a=\frac{2}{3} m/s^2$

The acceleration produced by the three masses combined together is $\frac{2}{3} m/s^2$.

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