while playing football match Kris collided and got in entangied with Tom who was playing for opposite team and running from opposite sides the mass of kris was 40 kg and the mass of tom for 60 kg tom was running with a velocity of 3M per second and khris was running with velocity of 4 m per second find the velocity and direction of both the players after collision assuming other forces negligible
Answers
Given,
Mass of Kris (m1) = 40 kg
Initial velocity of Kris (u1) = 4 m/s
Mass of Tom (m2) = 60 kg
Initial velocity of Tom (u2) = 3 m/s
Final velocity and direction of both of the player after collision =?
Let final velocity of both of the players after collision = v
Let Kris was coming from left and Tom was coming from right.
Let the velocity of Kris is positive, therefore velocity of Tom will be negative as both were running in opposite directions.
Thus, initial velocity of Kris (u1) = 4 m/s
And the initial velocity of Tom (u2) = - 3 m/s
We know that,
m
1
u
1
+
m
2
u
2
=
m
1
v
1
+
m
2
v
2
⇒
40
k
g
×
4
m
/
s
+
60
k
g
×
(
−
3
m
/
s
)
=
40
k
g
×
v
+
60
k
g
×
v
(Because entangled after collision both the player got same velocity)
⇒
40
k
g
×
4
m
/
s
+
60
k
g
×
(
−
3
m
/
s
)
=
40
k
g
×
v
+
60
k
g
×
v
⇒
160
k
g
m
/
s
−
180
k
g
m
/
s
=
v
(
40
k
g
+
60
k
g
)
⇒
−
20
k
g
m
/
s
=
v
×
100
k
g
⇒
v
=
−
20
k
g
m
/
s
100
k
g
⇒
v
=
−
0.2
m
/
s
Thus, velocity of both the player would become – 0.2 m/s. Negative velocity shows that they would go from right to left after collision.
Answer:
Explanation:here we use m1u1+m2u2=m1v1+m2v2
