15.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.
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Explanation:
Initial velocity=4m/s
Final velocity=8m/s
Initial momentum=mu (u is Initial velocity)
=100×4
=400kg.m/s
Final momentum=mv (v is Final velocity)
=100×8
=800kg.m/s
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Given:-
- Mass of object ,m = 100kg
- Initial velocity ,u = 4m/s
- Final velocity ,v = 8m/s
- Time taken ,t = 2 s
To Find:-
- Initial momentum ,Pi
- Final momentum , Pf
Solution:-
We know that momentum is defined as the product of mass and velocity.
Firstly we calculate the initial momentum
•Pi = mu
Substitute the value we get
→ Pi = 100×4
→ Pi = 400kgm/s
Therefore, the initial momentum of the object is 400kgm/s.
Now , Calculating the Final momentum
• Pf = mv
Substitute the value we get
→ Pf = 100×8
→ Pf = 800kgm/s
Therefore, the final momentum of the object is 800kgm/s.
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