To calculate the momentum of the 60 kg skater, we can use the formula:
Momentum = mass × velocity
For the 60 kg skater:
Momentum = 60 kg × 2 m/s = 120 kg·m/s
Now, to find the velocity of the 80 kg skater, we can use the principle of conservation of momentum. Since there is no external force acting on the skaters, the total momentum before and after the push remains the same.
Total initial momentum = Total final momentum
Initial momentum for both skaters is 0 since they are at rest.
Final momentum = Momentum of 60 kg skater + Momentum of 80 kg skater
0 = 120 kg·m/s + (80 kg × v)
Where v is the velocity of the 80 kg skater.
Now, we can solve for v:
-120 kg·m/s = 80 kg × v
v = -120 kg·m/s ÷ 80 kg
v = -1.5 m/s
The velocity of the 80 kg skater is -1.5 m/s (negative sign indicates that it moves in the opposite direction of the 60 kg skater).
So, the momentum of the 60 kg skater is 120 kg·m/s and the velocity of the 80 kg skater is -1.5 m/s.
an 80 kg skater and a 60 kg skater stand in the middle of an ice rink and push each other away. the 60 kg skater moves away at 2 m/s calculate her momentum and the velocity of the other skater
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