Question

When a force of 30N acts on a body of mass 5Kg initially at rest, it acquires a velocity of 12m/s.
find the time for which the force has been applied on the body.​

Answer 1

Answer:-

$\purple{\bigstar}$ Time for which the force is applied on the body $\large\leadsto\boxed{\tt\pink{2 \: seconds}}$

• Given:-

• Force of 30N acts on a 5kg body initially at rest.

• It acquires velocity of 12m/s.

• To Find:-

• Time for which the force is applied on the body.

• Solution:-

We know,

$\pink{\bigstar}$ $\large\underline{\boxed{\bf\green{F = ma}}}$

where,

• F = Force applied on the body

• m = mass of the body

• a = acceleration of the body

• Substituting in the values:-

➠ $\sf 30 = 5 \times a$

➠ $\sf a = \dfrac{30}{5}$

★ $\bf\red{a = 6 \: m/s^2}$

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Also,

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• Applying First Equation of motion:-

$\pink{\bigstar}$ $\large\underline{\boxed{\bf\green{v = u + at}}}$

where,

• v = final velocity

• u = initial velocity

• a = acceleration

• t = time period

• Substituting in the values:-

➠ $\sf 12 = 0 + 6 \times t$

➠ $\sf 12 = 6 \times t$

➠ $\sf t = \dfrac{12}{6}$

★ $\large{\bf\red{t = 2 \: sec.}}$

Therefore, the time for which the Force ia applied to the body is 2 seconds.