Conservation of Momentum of roller-skates

In summary, Anthony and Sissy, with masses of 75kg and 60kg respectively, participate in a roller-skating dance championship. Anthony skates backwards at 3m/s while Sissy jumps into his arms with a velocity of 5m/s in the same direction. Using the inelastic collision equation, their combined momentum is calculated to be 525kg*m/s. Dividing it by their combined mass of 135kg, the resulting velocity is 3.9m/s, rounded up from 3.888m/s.
  • #1
HeyyMarco
6
0

Homework Statement


Anthony and Sissy are participating in the "Roll-a-Rama" roller-skating dance championship. While 75kg Anthony roller-skates backwards at 3m/s, 60kg Sissy jumps into his arms with a velocity of 5m/s in the same direction.
m1= 75kg
v1= 3m/s
m2= 60kg
v2= 5m/s
v' = ?

Homework Equations



The inelastic collision equation possibly?

The Attempt at a Solution


(75kg)(3m/s) + (60kg)(5m/s)= (75kg+60kg)x
225kg*m/s + 300kg*m/s= 135kg(x)
525kg*m/s = 135kg(x)
(525kg*m/s)/135kg = x
3.8m/s= x

Is that correct?
 
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  • #2
Yes, it is inelastic collision and your calculation is correct, but take care of rounding. x=3.888... round it to 3.9 m/s.

ehild
 
  • #3
ehild said:
Yes, it is inelastic collision and your calculation is correct, but take care of rounding. x=3.888... round it to 3.9 m/s.

ehild

Thank you very much :)
 

Related to Conservation of Momentum of roller-skates

1. What is the Conservation of Momentum of roller-skates?

The Conservation of Momentum of roller-skates is a fundamental principle in physics that states that the total momentum of a system of roller-skates remains constant unless acted upon by an external force. This means that the momentum of the roller-skates before and after any interaction or movement will be the same.

2. How is the Conservation of Momentum applied to roller-skates?

In roller-skates, the Conservation of Momentum is applied by considering the momentum of the entire system, including the skater and the skates. Any changes in the momentum of the skater or the skates will affect the overall momentum of the system. This can be seen in the movement and interaction of the skater and the skates.

3. How does the mass of the roller-skates affect the Conservation of Momentum?

The mass of the roller-skates plays a significant role in the Conservation of Momentum. The greater the mass of the roller-skates, the greater the momentum of the system. This means that a larger force is needed to change the momentum of the system, making it more difficult to accelerate or decelerate the skater and the skates.

4. Can friction affect the Conservation of Momentum in roller-skates?

Friction can affect the Conservation of Momentum in roller-skates. Friction is a force that opposes the movement of objects, and it can cause a decrease in the overall momentum of the system. This means that a skater on roller-skates will need to exert more force to maintain their momentum while moving against friction.

5. Why is the Conservation of Momentum important in roller-skates?

The Conservation of Momentum is crucial in roller-skates because it helps us understand and predict the movement and interactions of the skater and the skates. It also allows us to analyze and design equipment and techniques that can improve the performance and safety of roller-skaters. Additionally, the Conservation of Momentum is a fundamental principle in physics that applies not only to roller-skates but to all objects in motion.

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