Linear Momentum, Impulse, Center of a Mass, Velocity, Kinetic Energy

In summary, linear momentum is a measure of an object's motion and is calculated by multiplying its mass by its velocity. Impulse is the change in an object's momentum and is equal to the force applied multiplied by the time of impact. The center of mass is the point where an object's mass is evenly distributed and is important for understanding its overall motion. Velocity is the rate of change of an object's position and is a key factor in determining its momentum. Kinetic energy is the energy an object possesses due to its motion and is dependent on both its mass and velocity. These concepts are essential in understanding the dynamics of objects in motion and are fundamental in various fields such as physics, engineering, and sports.
  • #1
DMRika
2
0

Homework Statement



Two ice skaters (m1 = 85kg and m2 = 52kg) in a pairs-skating tournament are both initially holding on to each other while travling to the right at 4.5 m/s. Skater #1 then thows skater #2 to the right in a graceful toss. Immediately afterward, skater #2 is travling to the right at 9 m/s (ignore friction).

a. What is the final velocity of skater #1? Is it to the right or left?

b. What was the change in total kinetic energy of the skaters due to the throw? Was net kinetic energy gained or lost?

c. If the throw took .5s, what was the magnitude of the impulsive force on skater #2?

d. Was the impulsive force acting on skater #1 was less than, the same as, or greater than the force on skater #2?

e. Find the final velocity (after the throw) of the center-of-mass of the two skaters.

Homework Equations


Not sure

The Attempt at a Solution



a. I thought skater #1 would be traveling at 2.25 m/s to the right. If he threw skater #2 as to increase her speed by half, then his speed should be reduced by half.

Didn't understand the rest of the questions.
 
Physics news on Phys.org
  • #2
Welcome to PF!

Hi DMRika! Welcome to PF! :smile:
DMRika said:
Two ice skaters (m1 = 85kg and m2 = 52kg) in a pairs-skating tournament are both initially holding on to each other while travling to the right at 4.5 m/s. Skater #1 then thows skater #2 to the right in a graceful toss. Immediately afterward, skater #2 is travling to the right at 9 m/s (ignore friction).

a. What is the final velocity of skater #1? Is it to the right or left?
…
a. I thought skater #1 would be traveling at 2.25 m/s to the right. If he threw skater #2 as to increase her speed by half, then his speed should be reduced by half.

No, it doesn't work like that. :redface:

Use conservation of https://www.physicsforums.com/library.php?do=view_item&itemid=53"
b. What was the change in total kinetic energy of the skaters due to the throw? Was net kinetic energy gained or lost?
…
Didn't understand the rest of the questions.

What is the definition of https://www.physicsforums.com/library.php?do=view_item&itemid=132" ?
 
Last edited by a moderator:

FAQ: Linear Momentum, Impulse, Center of a Mass, Velocity, Kinetic Energy

What is linear momentum?

Linear momentum is a physical quantity that describes the motion of an object in a straight line. It is defined as the product of an object's mass and its velocity.

How is impulse related to linear momentum?

Impulse is the change in an object's momentum over a specific period of time. It is directly related to linear momentum as it is the force applied to an object to change its momentum.

What is the center of mass?

The center of mass is a point in an object or system where the mass is evenly distributed and the object can be balanced. It is the average position of all the mass in the object.

How does velocity affect an object's kinetic energy?

Velocity is directly related to an object's kinetic energy. An object traveling at a higher velocity will have a greater kinetic energy. This can be calculated using the equation: KE = 1/2 x mass x velocity^2.

What is the relationship between kinetic energy and linear momentum?

Kinetic energy and linear momentum are both measures of an object's motion. They are related through the equation: KE = p^2 / 2m, where p is the object's momentum and m is its mass. This means that an object with a higher momentum will have a greater kinetic energy.

Similar threads

Ice Skating conservation of momentum (conceptual problem)
Replies
5
Views
3K
Angular momentum: rotating ice skaters
Replies
14
Views
2K
How Does Throwing a Partner Affect a Skater's Velocity in a Pairs Competition?
Replies
3
Views
2K
Rotational kinetic energy of ice skater
Replies
6
Views
3K
Work done during a collision -- Change in Kinetic Energy & change in Momentum
Replies
1
Views
1K
What are the key mistakes in approaching this work-energy principle problem?
Replies
5
Views
1K
Speed after gliding with friction force present using work/E
Replies
3
Views
4K
Elastic Collision in Two Reference Frames
Replies
2
Views
2K
What's the source of increase in rotational energy of carousel?
Replies
9
Views
2K
How Do Skaters' Velocities Change After Grabbing a Pole?
Replies
1
Views
5K

Hot Threads

Recent Insights

Back
Top