A ball of mass 0.01 kg is moving with a velocity of 50 m/s. On applying a
constant force for 2 seconds on the ball, it acquires a velocity of 70 m/s.
●Calculate the initial and final momentum of the ball.
●Also, calculate the rate of change of momentum and the acceleration of the
ball.
●What would be the magnitude of the force applied?
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Answers
Answer :-
• Initial momentum is 0.5 kg m/s .
• Final momentum is 0.7 kg m/s .
• Rate change of momentum 0.1 kg m/s² .
• Acceleration is 10 m/s² .
• Magnitude of force is 0.1 Newton .
Explanation :-
We have :-
→ Mass of ball (m) = 0.01 kg
→ Initial velocity (u) = 50 m/s
→ Final velocity (v) = 70 m/s
→ Time (t) = 2 seconds
________________________________
Initial momentum :-
= m × u
= 0.01 × 50
= 0.5 kg m/s
Final momentum :-
= m × v
= 0.01 × 70
= 0.7 kg m/s
Rate of change of momentum :-
= (mv - mu)/t
= m(v - u)/t
= 0.01(70 - 50)/2
= 0.01(20)/2
= 0.01(10)
= 0.1 kg m/s²
Acceleration :-
According to 1st equation of motion .
⇒ v = u + at
⇒ 70 = 50 + a(2)
⇒ 70 - 50 = 2a
⇒ 20 = 2a
⇒ a = 20/2
⇒ a = 10 m/s²
Magnitude of force :-
According to Newton's 2nd law of motion we know that :-
Force = Rate of change of momentum
⇒ Force = 0.1 kg m/s²
⇒ Force = 0.1 N
Itz Aagnick
Answer :-
- Initial momentum is 0.5kg m/s
- Final momentum is 0.7kg m/s
- Rate charge of momentum 0.1kg m/s²
- Acceleration is 10 m/s²
- Magnitude of force is 0.1 N
Explanation :-
we have,
→ Mass of ball (m) = 0.01 kg
→ Initial velocity (u) = 50 m/s
→ Final velocity (v) = 70 m/s
→ Time (t) = 2 sec
_________________________________
Initial momentum :-
= m × u
= 0.01 × 50
= 0.5 kg m /s
Final momentum :-
= m × v
= 0.01 × 70
= 0.7 kg m/s
Rate of change of momentum :-
= (mv - mu)/t
= m(v -u)/t
= 0.01(70 - 50)/2
= 0.01(70 - 50)/2
= 0.01(20)/2
= 0.01(10)
= 0.1 kg m/s²
Acceleration :-
According to first equation of Motion
--» v = u + at
--» 70 = 50 + a(2)
--» 70 - 50 = 2a
--» 20 = 2a
--» a= 20/2
--» a = 10 m/s²
Magnitude of force :-
According to Newton's 2nd law of Motion we know that
- Force = Rate of change of momentum
--» Force = 0.1 kg/m²
--»Force = 0.1 N