a force of 20n acts on a body of mass 10kg for 10s find the change in momentum
Answers
Answer:
If a force of 20 n acts on body of mass 10kg for 10s body can act first the body will speed of a motion this change in momentum
Question :-
A force of 20N acts on a body of mass 10kg for 10s.
Given :-
Force F = 20N
Mass M = 10kg
Time t = 10s
Initial Velocity u = 0 m/s
Final Velocity v = 0 m/s
To find :-
Change in Momentum ∆p
Solution :-
Step 1: Acceleration calculation
Applying Newton's second law
∑F=ma
⇒F=ma
⇒10(N)=20(kg) a
⇒a=0.5m/s
Step 2: Final speed
Since acceleration is constant,
∴ Applying equation of motion
v=u+at
u = Initial speed =0
v = Final speed
v=0+0.5(m/s²)×10(s)
=5m/s
Step 3: Change in momentum Δp
ΔP=m(v−u)
=20(5−0)kgm/s
=100kgm/s
Alternate solution :-
Impulse J = Force×time
=10(N)10(S)
=100NS
Impulse J = Δp
Δp = 100kgm/s