Question

An object has an acceleration of 8 m/s^2. if the net force acting on the object is increased by a factor 2 and its mass is decreased by a factor of 2, What would its new acceleration be ? Pls answer fast. ( Who ever write the correct solution for the given answer quickly will be marked as the brainliest answer.. hurry up.It is urgent. Hint- the answer is 32 m/s^2

Answer 1

Given

An object has an acceleration of 8 m/s^2. if the net force acting on the object is increased by a factor 2 and its mass is decreased by a factor of 2

To find

What would its new acceleration be ?

STEP BY STEP EXPLANATION

☢️ Conditions will be applied

$\tt Force \: will \: be \: double \: (F = 2F)$

$\tt Mass \: will \: be \: halved \: (m = m/2)$

Formula

♻️ F = ma

Solving

F = ma

$\tt\huge A = F/m = 8 m/ {s}^{2}$

Then,

➡️ A = f/m

➡️ 2f/0.5m

➡️ 4 f/m = 4 × 8 = 32m/s²

$\tt \huge(Then \: f/m = 8 m/s?)$

♻️ Hence, the new acceleration of the body is 32m/s²

Answer 2

In the above Question , the following information is given -

An object has an acceleration of 8 m/s^2.

To find -

If the net force acting on the object is increased by a factor 2 and its mass is decreased by a factor of 2, what would its new acceleration be ?

Solution -

Here , let us assume that the given object has a mass m kg.

Acceleration of the object is 8 m / s .

Now, we know that in Newtonian Motion ,

F = m × a ........ Equation 1

Where , F is the force applied on the object .

m is the mass of the object .

a is the acceleration. .

Now ,

The net force acting on the object is increased by a factor 2 and its mass is decreased by a factor of 2 .

So ,

The net force acting on the object is increased by a factor 2

Thus , the new force becomes -

=> 2F

Its mass is decreased by a factor of 2 .

Thus , the new mass of the object becomes - ( m / 2 ) .

Let the new acceleration be á .

Now , substituting these values into the formula -

=> 2F = ½m × á

=> 4F = m × à ....... Second Equation

Dividing the two equations -

¼ = a / á

=> á = 4a

=> á = 4 × 8

=> á = 32 m / s²

Thus , the new acceleration of the object becomes 32 m / s² .

This is the required answer .

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