Law of conservation of momentum states that when two objects collide with each other , the sum of their linear momentum always remains same or we can say conserved and is not effected by any action, reaction only in case is no external unbalanced force is applied on the bodies.
Let,
m
A
= Mass of ball A
m
B
= Mass of ball B
u
A
= initial velocity of ball A
u
B
= initial velocity of ball B
v
A
= Velocity after the collision of ball A
v
B
= Velocity after the collision of ball B
F
ab
= Force exerted by A on B
F
ba
= Force exerted by B on A
Now,
Change in the momentum of A= momentum of A after the collision - the momentum of A before the collision
= m
A
v
A
−m
A
u
A
Rate of change of momentum A= Change in momentum of A/ time taken
=
t
m
A
v
A
−m
A
u
A
Force exerted by B on A (F
ba
);
F
ba
=
t
m
A
v
A
−m
A
u
A
........ [i]
In the same way,
Rate of change of momentum of B=
t
m
b
v
B
−m
B
u
B
Force exerted by A on B (F
ab
)=
F
ab
=
t
m
B
v
B
−m
B
u
B
.......... [ii]
Newton's third law of motion states that every action has an equal and opposite reaction, then,
F
a
b=−F
b
a [ ' -- ' sign is used to indicate that 1 object is moving in opposite direction after collision]
Using [i] and [ii] , we have
t
m
B
v
B
−m
B
u
B
=−
t
m
A
v
A
−m
A
u
A
m
B
v
B
−m
B
u
B
=−m
A
v
A
+m
A
u
A
Finally we get,
m
B
v
B
+m
A
v
A
=m
B
u
B
+m
A
u
A
This is the derivation of conservation of linear momentum.
<span> It will travel 1530 m* 6 seconds =9180m. thus the depth there will be 9180/2=4590m.</span>
Answer:
7.85 cm
30 degree
Explanation:
As we know that that the angular displacement in one turn is 360 degree.
As there are 12 parts which are equally divided so the angle turn by each part is
= 360 / 12 = 30 degree
Thus, the angular displacement of each slice is 30 degree.
Radius of pie = 15 cm
Circumference of pie = 2 x 3.14 x 15 = 94.2 cm
Arc length for complete 360 degree = 94.2 cm
Arc length for 30 degree turn = 94.2 x 30 / 360 = 7.85 cm
The fraction of the kinetic energy of the ball lost during the collision is 
.
The given parameters;
- <em>initial speed of the ball, = vi</em>
- <em>final momentum of the ball, Pf = ¹/₃Pi</em>
The initial and final momentum of the ball is calculated as;
The initial and final kinetic energy of the ball is calculated as;
The change in the kinetic energy is calculated as;
Thus, the fraction of the kinetic energy of the ball lost during the collision is .
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Answer:
well they make the siren go beacaus eyou are doing somthing wrong so what were you thinking
Explanation:
