Chapter 11: Q. 22 (page 288)

A $50 g$ marble moving at $2.0 m / s$ strikes a $20 g$ marble at rest. What is the speed of each marble immediately after the collision?

Short Answer

Expert verified

Marvel of mass $50 g$ has speed $0.86 m / s$ .

Marvel of mass $20 g$ has speed $2.9 m / s .$

Step by step solution

Given information

We have given,

Masses of marvel = $50 g and 20 g .$

Speed of marvels = $2 m / s and 0 m / s .$

We have to find their final velocity after collision.

Simplify

The given Collison is a elastic collision.

In the elastic Collison the momentum and energy of the system is conserved.

Then conservation of momentum is,

$P_{i} = P_{f}$

Let us consider marvels as marvel 1 of $50 g$ and marvel 2 of $20 g .$

Then,

$P_{i} = m_{1} v_{1} + m_{2} v_{2} P_{i} = 0.05 kg \times 2 m / s + 0 P_{i} = 0.1 kg m / s$

and

$P_{F} = m_{1} v_{1 f} + m_{2} v_{2 f} . . . . . . . . . . (1)$

Then using conservation of energy,

localid="1649676035847" $K . E_{I} = K . E . F_{F} \frac{m_{1} v_{1}^{2} + m_{2} v_{2}^{2}}{2} = \frac{m_{1} v_{1 f}^{2} + m_{2} v_{2 f}^{2}}{2} (0.05) (4) = m_{1} v_{1 f}^{2} + m_{2} v_{2 f}^{2} . . . . . . . . . . . . . . . . . . . . . . . . (2)$

Using equation (1) AND (2),

$v_{1 f} = 0.86 m / s v_{2 f} = 2.9 m / s$

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A $50 g$ marble moving at $2.0 m / s$ strikes a $20 g$ marble at rest. What is the speed of each marble immediately after the collision?

Short Answer

Step by step solution

Given information

Simplify

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A 50gmarble moving at 2.0m/s strikes a 20g marble at rest. What is the speed of each marble immediately after the collision?

Short Answer

Step by step solution

Given information

Simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Dynamics

Modern Physics

Electricity

Energy Physics

Wave Optics

Classical Mechanics

Study anywhere. Anytime. Across all devices.

A $50 g$ marble moving at $2.0 m / s$ strikes a $20 g$ marble at rest. What is the speed of each marble immediately after the collision?