Question

An object of mass 1 kg moves with an initial
velocity of 20 ms?. How much is the force (in N)
required to change the velocity to 30 ms? in 1
millisecond?​

Answer 1

Given:

An object of mass 1 kg moves with an initial  velocity of 20 m/s?.

To Find:

How much is the force (in N)  required to change the velocity to 30 m/s in 1 millisecond ?​

Solution:

Mass (M) = 1 kg

$\mathbf{Initial\ velocity\ (u)=20 \ \ \ \dfrac{m}{s} }$

$\mathbf{Final\ velocity\ (v)=30 \ \ \ \dfrac{m}{s} }$

Time(t) = 1 millisecond = 0.001 s

From law of Newton's second law:

$\mathbf{Force(F)= \dfrac{M\times (v-u)}{t} }$

On putting respective value in above equation:

$\mathbf{Force(F)= \dfrac{1\times (30-20)}{0.001} }$

On simplify:

Force (F) = 10000 N

Means 10000 N is the force required to change the velocity to 30 m/s in 1  millisecond.

Answer 2

it is given that an object of mass, M = 1 kg moves with an initial velocity, u = 20m/s.

we have to find the force required to change the velocity, v to 30m/s in t = 1 miliSec

using formula, v = u + at

⇒30 = 20 + a × 10^-3

⇒30 - 20 = a × 10^-3

⇒a = 10⁴ m/s

using F = ma

= 1kg × 10⁴ m/s² = 10,000 N

therefore, 10,000 N force required to change the velocity to 30m/s in 1 milisecond.

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