Chapter 11: Q. 29 (page 288)

Two ice skaters, with masses of $50 kg$ and $75 kg$ , are at the center of a $60 m$ diameter circular rink. The skaters push off against each other and glide to opposite edges of the rink. If the heavier skater reaches the edge in $20 s$ , how long does the lighter skater take to reach the edge?

Short Answer

Expert verified

It will take $13.3 s .$

Step by step solution

Given information

We have given,

Two ice skaters of masses = $50 kg, 75 kg$

Diameter of circular rink = $60 m$

We have to find that how much takes the lighter skater take to reach the edge.

Simplify

Using law of conservation of momentum which says that momentum before collision and after will be same.

$P_{I} = P_{f}$

Where this momentums will be zero since initially both in rest.

then,

$P_{i} = 0 P_{f} = m_{1} v_{1} + v_{2} m_{2} P_{f} = (50 kg) (v_{1}) + (75 kg) (v_{2}) . . . . . . . . . (1)$

and,

Since the distance travel by the each player will be equal to radius of the rink. then,

$v_{2} = \frac{30 m}{20 s} = 1.5 m / s$

Put this value in above equation (1),

$P_{f} = 0 = (50 kg) (v_{1}) + (75 kg) (1.5 m . s) v_{1} = - \frac{112.5}{50} = - 2.25 m / s$

Here opposite direction indicates by the negative sign.

Then time taken will be,

$t_{1} = \frac{30 m}{v_{1}} t_{1} = \frac{30 m}{2.25 m / s} t_{1} = 13.3 s$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Two ice skaters, with masses of $50 kg$ and $75 kg$ , are at the center of a $60 m$ diameter circular rink. The skaters push off against each other and glide to opposite edges of the rink. If the heavier skater reaches the edge in $20 s$ , how long does the lighter skater take to reach the edge?

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

Translational Dynamics

Solid State Physics

Work Energy and Power

Electric Charge Field and Potential

Mechanics and Materials

Electricity

Study anywhere. Anytime. Across all devices.

Two ice skaters, with masses of 50kgand 75kg, are at the center of a 60mdiameter circular rink. The skaters push off against each other and glide to opposite edges of the rink. If the heavier skater reaches the edge in 20s, how long does the lighter skater take to reach the edge?

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

Translational Dynamics

Solid State Physics

Work Energy and Power

Electric Charge Field and Potential

Mechanics and Materials

Electricity

Study anywhere. Anytime. Across all devices.

Two ice skaters, with masses of $50 kg$ and $75 kg$ , are at the center of a $60 m$ diameter circular rink. The skaters push off against each other and glide to opposite edges of the rink. If the heavier skater reaches the edge in $20 s$ , how long does the lighter skater take to reach the edge?