Question

Two objects of masses 10kg and 15kg are moving in the same direction with velocities 5m/s and 10m/s respectively.If they collide and stick together, find their common velocity.​

Answer 1

Answer:

Two objects of masses 10 kg and 15 kg are moving in the same direction with different velocities 5 m/min and 10 m/min respectively. If they collide and stick together and move with a common velocity, then the magnitude of their common velocity is Choose one: 8 m/min

Step-by-step explanation:

Answer 2

{some corrections in question}

Question : Two objects of masses 10kg and 15kg are moving in the same direction with velocities 5m/s and 10m/s respectively and they collide and stick together and move with common velocity. find their common

velocity.

Given data :

• Two objects of masses 10kg and 15kg.
• They are moving in the same direction with velocities 5m/s and 10m/s respectively.
• They collide and stick together and move with common velocity.

Solution : To find common velocity of two objects,

Let, first object be A and second object be B,

Now, according to given,

• Mass of A ( m1 ) = 10 kg
• Mass of B (m2) = 15 kg
• initial velocity of A (u1) = 5 m)s
• initial velocity of B (u2) = 10 m/s
• Let, final/common velocity of A and B be v

Now, according to the law of conservation of momentum.

⟹ m1 * u1 + m2 * u2 = [m1 + m2] * v

⟹ 10 * 5 + 15 * 10 = [10 + 15] * v

⟹ 50 + 150 = 25 * v

⟹ 200 = 25 * v

⟹ v = 200/25

⟹ v = 8 m/s

Answer : Hence, common velocity of two objects of masses 10kg and 15kg is 8 m/s.

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