An object of mass 300 kg is accelerated uniformly from a
velocity of 10m/s to 15m/s in 8 s. Calculate the initial and
final momentum of the object. Also, find the magnitude of
the force exerted on the object.
Answers
Step-by-step explanation:
Step (1) Given:
The initial velocity of the object, u=5m/s
The final velocity of the object, v=8m/s
Mass of the object, m=100kg
Time taken by the object to accelerate, t=6s
Step (2) Finding the initial momentum of the object:
We know that momentum, p=mv where m is the mass of the object and v is the velocity of the object.
Initial momentum =mu=100×5
⇒mu=500kgm/s
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An object of mass 100 kg is accelerated uniformly from a velocity of 5 m/s to 8 m/s in 6 s. Calculate the initial and final momentum of the object. Also, find the magnitude of the force exerted on the object.
Question
An object of mass 100 kg is accelerated uniformly from a velocity of 5 m/s to 8 m/s in 6 s. Calculate the initial and final momentum of the object. Also, find the magnitude of the force exerted on the object.
Solution
Step (1) Given:
The initial velocity of the object, u=5m/s
The final velocity of the object, v=8m/s
Mass of the object, m=100kg
Time taken by the object to accelerate, t=6s
Step (2) Finding the initial momentum of the object:
We know that momentum, p=mv where m is the mass of the object and v is the velocity of the object.
Initial momentum =mu=100×5
⇒mu=500kgm/s
Step (3) Finding the final momentum of the object:
Final momentum =mv=100×8
⇒mv=800kgm/s
Step (4) Finding the force exerted on the object:
Let us calculate the Force exerted on the object (F)
We know that the force applied to an object is equal to the rate of change of its momentum.
F=(mv–mu)t
F=(800–500)6
F=3006
F=50N
Initial momentum of the object is 500 kg m s-1.
The final momentum of the object is 800 kg m s-1.
Force exerted on the object is 50 N