Question

3 A object having a mass 2 kg and moving at 14 m/s collides with
another object of mass 5 kg at rest and sticks to it. Find the speed
of this combination.
[Ans. 4 m/s]​

Answer 1

Answer : 4 m/s

Step by Step Explanation :

→ ${\bold{For\:first\:body}}$:

•Mass m1 = 2 kg

•Initial velocity u1 = 14 m/s

→ ${\bold{For\:second\:body}}$:

•Mass m2 = 5 kg

•Initial velocity u2 = 0 [ as its at rest ]

Now , we know that the equation involved with such collision when the bodies stick together is given by

${\boxed{\bold{m1u1 + m2u2 = (m1 + m2)v}}}$

Where v is the combined velocity acquired by the bodies.

➡Plugging the values :

=> 2 × 14 + 5 × 0 = ( 5 + 2) × v

=> 28 = 7v

→ v = 28/7 = 4

${\sf{\underline{Speed\:of\:the\:combination \:is\:4m/s}}}$

Extra Info ➭

• A collision is an event in which two bodies exert forces on each other in a relatively short period of time.
• Collisions can be both - elastic or inelastic
• A collision in which both momentum and kinetic energy are conserved is called an elastic collision .
• A collision in which there's loss of energy involved is called an inelastic collision

Answer 2

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