A 10 kg mass traveling 2 m/s meets and collides elastically with a 2 kg mass traveling 4 m/s in the opposite direction. If the velocity of 2kg mass is 6m/s find the velocity of 10 kg mass.
Answers
Explanation:
ANSWER
Let their velocities after the collision be v
1
and v
2
. As we know for elastic collision.
Relative velocity of approach = relative velocity of separation
10−4=v
2
−v
1
⇒6=v
2
−v
1
⇒v
1
=v
2
−6
Applying conservation of momentum,
10×10+5×4=10v
1
+5v
2
120=10v
1
+5v
2
120=10(v
2
−6)+5v
2
=15v
2
−60
15v
2
=180⇒v
2
=12cm/sec
v
1
=6cm/sec
Answer:
A 10 kg mass traveling 2 m/s meets and collides elastically with a 2 kg mass traveling 4 m/s in the opposite direction. Find the final velocities of both objects.
Solution
First, visualize the problem. This illustration shows what we know of the conditions.
Elastic Collision Example Problem Illustration
Two masses approach each other and collide elastically. Find the final velocities of each mass.
The second step is to set your reference. Velocity is a vector quantity and we need to distinguish the direction of the velocity vectors. I’m going to choose from left to right as the “positive” direction. Any velocity moving from right to left will then contain a negative value.
Next, identify the known variables. We know the following:
mA = 10 kg
VAi 2 m/s
mB = 2 kg
VBi = -4 m/s. The negative sign is because the velocity is in the negative direction.
Now we need to find VAf and VBf. Use the equations from above. Let’s start with VAf.
Elastic Collision Final Velocity of Mass A Formula
Plug in our known values.
elastic collision example - final velocity of mass A step 1
step 2 to find the final velocity of mass A
final step to find final velocity of mass A
VAf = 0 m/s
The final velocity of the larger mass is zero. The collision completely stopped this mass.
Now for VBf
Elastic Collision Final Velocity of Mass B Formula
Plug in our known values
step 2 to find the final velocity of mass B
step 3 to find the final velocity of mass B
step 4 to find the final velocity of mass B
step 5 to find the final velocity of mass B
VBf = 6 m/s
Explanation:
Mark me brainliest