Answer the following question: -
1. Give Newton's second law of motion? Prove that F = ma
2. Two cars A and B are running with velocities of 5 m/s and 8 m/s respectively. After the collision of both
car: the vclocity of car B becomes 6 m/s.? If their masses are 800 kg and 500kg. Find velocity of car A.
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Answer:
1. Newton's second law of motion states that the acceleration of a system is directly proportional to and in the same direction as the net external force acting on the system, and inversely proportional to its mass. In equation form, Newton's second law of motion is a=Fnetm a = F net m .
Explanation:
2.Using Momentum Conservation:
⇒m
1
u
1
+m
2
u
2
=m
1
v
1
+m
2
v
2
⇒1(21)+2(−4)=1(1)+2v
2
⇒v
2
=6m/s
Coefficient of Restitution:
e=
u
1
−u
2
v
2
−v
1
=
21+4
6−1
=0.2
Kinetic Energy lost:
=
2
1
m
1
(v
1
2
−u
1
2
)+
2
1
m
2
(v
2
2
−u
2
2
)
=
2
1
1(1−441)+
2
1
2(36−16)
=−200J
Impulse of Force:
I=(Δmv)
1
=1(1−21)=−20
=(Δmv)
2
=2(6−(−4))=20
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