Question

this?
If an object of mass 10 kg is performing linear motion
with acceleration of 4 m s -2, find out change occurring

its momentum in 5 s.
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Answer 1

Correct Question

An object of mass 10 Kg is performing linear motion with acceleration 4 m/s². Find out the change occurring in momentum in 5s

Solution

Given,

• Mass of the Object,M = 10 Kg

• Time,t = 10 s

• Acceleration,a = 4 m/s²

To finD

Change in Momentum

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Impulse

• A force acts on an object in finite time producing a change in momentum of the object

• It is denoted by I

• It's SI unit is Kg m/s

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Newton's Second Law of Motion

The rate of change of momentum of an object is directly proportional to the net force acting on it

$\sf{F \: = \dfrac{dp}{dt} \: } \\ \\ \longrightarrow \: \sf \: F.dt = dp \\ \\ \longrightarrow \: \sf \: dp = (Ma) \times t \\ \\ \longrightarrow \: \sf \: dp = 10 \times 4 \times 5 \\ \\ \longrightarrow \: \boxed{ \boxed{ \sf dp = 200 Kg m{s}^{-1}}}$

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Answer 2

Answer:

200 kg m / sec

Explanation:

Given :

Mass = 10 kg

Acceleration = 4 m / sec²

Time = 5 second

From second law of motion we know :

Rate of change of linear momentum w.r.t time = Net force

m a = d p / d t

10 × 4 × 5 = d p

d p = 200 kg m / sec

Hence change occurring  objects' momentum is  200 kg m / sec.