Question

An object of mass 100kg is accelerated uniformly from a velocity of 4 m/s to 8 m/s in 2 seconds. Calculate the initial and final momentum of the object.
2 points
a. 400 kgm/s,800 kgm./s
b. 100 kgm/s,400 kgm./s
c. 200 kgm/s,400 kgm./s
d. 400 kgm/s,400 kgm./s​

Answer 1

Initial momentum = 400 kg.m/s

Final momentum = 800 kg.m/s

Explanation

Given that an object of mass 100kg is accelerated uniformly from a velocity of 4 m/s to 8 m/s in 2 seconds.

We have to find initial and final momentum of the object.

Solution

From the data we have ;

1. Mass of object (M) = 100 kg
2. Initial velocity (u) = 4 m/s
3. Final velocity (v) = 8 m/s
4. Time (t) = 2 s

Now as we know that,

⚡ Initial momentum = Mass * Initial velocity

✍ Initial momentum = 100 * 4

✍ Initial momentum = 400

✍ Initial momentum = 400 kg.m/s

∴ Initial momentum of object = 400 kg.m/s

Now we know that,

⚽ Final momentum = Mass * Final velocity

✍ Final momentum = 100 * 8

✍ Final momentum = 800

✍ Final momentum = 800 kg.m/s

∴ Final momentum of object = 800 kg.m/s

Therefore,

a. 400 kg.m/s, 800 kg.m/s ✔

Answer 2

ᎯᏁᏕᏯᎬᏒ

Given:-

Mass = 100 kg

Initial velocity = 4 m/s

Final velocity = 8 m/s

Time = 2 sec

Solution:-

Initial Momentum = Mass × Initial velocity

Initial Momentum = 100 × 4

Initial Momentum = 400 kg m/s

Final Momentum = Mass × Final velocity

Final Momentum = 100 × 8

Final Momentum = 800 kg m/s

∴Your answer = (a) 400 kgm/s, 800 kgm/s