If two objects of masses 3 kg and 5 kg collide elastically, what is the final ve

₹0.0

📥 Instant PDF Download
♾ Lifetime Access
🛡 Secure & Original Content

What’s inside this PDF?

Question: If two objects of masses 3 kg and 5 kg collide elastically, what is the final velocity of the 3 kg object if it was initially at rest and the 5 kg object was moving at 10 m/s?

Options:

0 m/s
3 m/s
5 m/s
10 m/s

Correct Answer: 3 m/s

Solution:

Using conservation of momentum and kinetic energy, the final velocity of the 3 kg object can be calculated to be 3 m/s.

If two objects of masses 3 kg and 5 kg collide elastically, what is the final ve

Practice Questions

If two objects of masses 3 kg and 5 kg collide elastically, what is the final velocity of the 3 kg object if it was initially at rest and the 5 kg object was moving at 10 m/s?

0 m/s
3 m/s
5 m/s
10 m/s

Questions & Step-by-Step Solutions

If two objects of masses 3 kg and 5 kg collide elastically, what is the final velocity of the 3 kg object if it was initially at rest and the 5 kg object was moving at 10 m/s?

Correct Answer: 3 m/s

Step 1: Identify the masses of the objects. The mass of the first object (m1) is 3 kg and the mass of the second object (m2) is 5 kg.
Step 2: Identify the initial velocities of the objects. The initial velocity of the first object (u1) is 0 m/s (at rest) and the initial velocity of the second object (u2) is 10 m/s.
Step 3: Use the conservation of momentum formula: m1 * u1 + m2 * u2 = m1 * v1 + m2 * v2, where v1 is the final velocity of the first object and v2 is the final velocity of the second object.
Step 4: Since the collision is elastic, use the conservation of kinetic energy formula: 0.5 * m1 * u1^2 + 0.5 * m2 * u2^2 = 0.5 * m1 * v1^2 + 0.5 * m2 * v2^2.
Step 5: Substitute the known values into the momentum equation: 3 kg * 0 m/s + 5 kg * 10 m/s = 3 kg * v1 + 5 kg * v2.
Step 6: Simplify the momentum equation: 0 + 50 = 3v1 + 5v2.
Step 7: Substitute the known values into the kinetic energy equation: 0.5 * 3 kg * 0^2 + 0.5 * 5 kg * 10^2 = 0.5 * 3 kg * v1^2 + 0.5 * 5 kg * v2^2.
Step 8: Simplify the kinetic energy equation: 0 + 250 = 1.5v1^2 + 2.5v2^2.
Step 9: Now you have two equations: 50 = 3v1 + 5v2 and 250 = 1.5v1^2 + 2.5v2^2.
Step 10: Solve these two equations simultaneously to find the values of v1 and v2.
Step 11: After solving, you find that the final velocity of the 3 kg object (v1) is 3 m/s.

Conservation of Momentum – In an elastic collision, the total momentum before the collision equals the total momentum after the collision.
Conservation of Kinetic Energy – In an elastic collision, the total kinetic energy before the collision equals the total kinetic energy after the collision.
Elastic Collision – A type of collision where both momentum and kinetic energy are conserved.

If two objects of masses 3 kg and 5 kg collide elastically, what is the final ve

What’s inside this PDF?

If two objects of masses 3 kg and 5 kg collide elastically, what is the final ve

Practice Questions

Questions & Step-by-Step Solutions

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?