A 10 kg ball moving with velocity 2 m/s collides with a 20 kg mass initially at rest. If both of them coalesce, the final velocity of combined mass is
Coalesce refers to the process of merging or coming together to form a single entity. It is commonly used in various contexts such as science technology and social dynamics. Coalescence can occur in physical systems like droplets or in ideas where diverse perspectives unite to create a unified concept.
Chapter 5 of Class 11 Physics discusses Work Energy and Power. It defines work done by a force energy forms such as kinetic and potential energy and the principle of conservation of energy. The chapter also introduces power and its calculations emphasizing their significance in real-world applications essential for the CBSE exam.
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To determine the final velocity of the combined mass after the collision, we can use the principle of conservation of momentum.
Given:
– Mass of ball 1 (m₁) = 10 kg
– Velocity of ball 1 (u₁) = 2 m/s
– Mass of ball 2 (m₂) = 20 kg
– Velocity of ball 2 (u₂) = 0 m/s (initially at rest)
Step 1: Calculate initial momentum
Initial momentum (p_initial) = m₁ * u₁ + m₂ * u₂
p_initial = (10 kg * 2 m/s) + (20 kg * 0 m/s)
p_initial = 20 kg·m/s
Step 2: Compute the final velocity after collision
Let v be the final velocity of the combined mass (m₁ + m₂).
After the collision, the total mass is:
m_total = m₁ + m₂ = 10 kg + 20 kg = 30 kg
According to the conservation of momentum:
p_initial = p_final
20 kg·m/s = (m₁ + m₂) * v
20 kg·m/s = 30 kg * v
Step 3: Solve for v
v = 20 kg·m/s / 30 kg
v = 2/3 m/s
Final Answer:
The final velocity of the combined mass is 2/3 m/s.
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