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?
Practice Questions
1 question
Q1
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
Using conservation of momentum and kinetic energy, the final velocity of the 3 kg object can be calculated to be 3 m/s.
Questions & Step-by-step Solutions
1 item
Q
Q: 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?
Solution: Using conservation of momentum and kinetic energy, the final velocity of the 3 kg object can be calculated to be 3 m/s.
Steps: 11
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.
