BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Solutions

Chapter
Section
BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

Three ice skaters meet at the center of a rink and each stands at rest facing the center, within arm’s reach of the other two. On a signal, each skater pushes himself away from the other two across the frictionless ice. After the push, skater A with mass mA = 80.0 kg moves in the negative y-direction at 3.50 m/s and skater B with mass mB = 75.0 kg moves in the negative x-direction at 4.00 m/s. Find the x- and y-components of the 90.0-kg skater C's velocity after the push.

To determine
Velocity of x- and y- component of the skater “C”.

Explanation

Given Info: Mass of the skater A is mA=80.0 kg , mass of the skater B is mB=75.0 kg , mass of the skater C is mC=90.0 kg , velocity of skater A in negative y- direction is vA=3.50 m/s , velocity of skater B in negative x- direction is vB=4.00 m/s and Initial velocities of the skaters are zero

Explanation:

Apply conservation of momentum.

pi,x =pf,xpi,y=pf,y (1)

  • pi,x is the initial x component of momentum
  • pf,x is the final  x component of momentum
  • pi,y is the initial y component of momentum
  • pf,y is the final y component of momentum

Rewrite equation (1) in terms of mass and velocity along with zero for initial velocities.

mBvB+mcvx=0vx=mBvBmc (2)

  • vB is the velocity of the skater B.
  • mB is the mass of the skater B.
  • mc is the mass of the skater C.
  • vx is the velocity of the x component.

Similarly for the momentum due to y axis

mAvA+mcvy=0vy=mAvAmcm/s (3)

  • vA is the velocity of the skater A

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Additional Science Solutions

Find more solutions based on key concepts

Show solutions add

When consumers guess at the calorie values in restaurant food portions, they generally overestimate. T F

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

How much energy is produced when the Sun converts 1 kg of mass into energy?

Horizons: Exploring the Universe (MindTap Course List)

How many autosomes are present in a body cell of a human being? In a gamete?

Human Heredity: Principles and Issues (MindTap Course List)

A truck covers 40.0 m in 8.50 s while smoothly slowing down to a final speed of 2.80 m/s. (a) Find its original...

Physics for Scientists and Engineers, Technology Update (No access codes included)