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A football of mass 0.5kg is kicked by a player with a velocity 5m/s before reaching to another player of his team .he returns it by kicking along its original path with velocity 6m\s. Calculate the magnitude of change in linear momentum of the football due to second kick .?
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A football of mass 0.5kg is kicked by a player with a velocity 5m/s be...
Given:
Mass of football (m) = 0.5 kg
Initial velocity of first kick (u1) = 5 m/s
Final velocity after second kick (v2) = 6 m/s
To find:
Magnitude of change in linear momentum of the football due to the second kick.
Solution:
Step 1: Calculate the initial momentum (p1) of the football:
The initial momentum (p1) of an object is given by the product of its mass and velocity.
p1 = m * u1
Substituting the given values:
p1 = 0.5 kg * 5 m/s
p1 = 2.5 kg⋅m/s
Step 2: Calculate the final momentum (p2) of the football:
The final momentum (p2) of an object is given by the product of its mass and velocity.
p2 = m * v2
Substituting the given values:
p2 = 0.5 kg * 6 m/s
p2 = 3 kg⋅m/s
Step 3: Calculate the change in linear momentum (Δp) of the football:
The change in linear momentum (Δp) of an object is given by the difference between its final momentum and initial momentum.
Δp = p2 - p1
Substituting the calculated values:
Δp = 3 kg⋅m/s - 2.5 kg⋅m/s
Δp = 0.5 kg⋅m/s
Therefore, the magnitude of change in linear momentum of the football due to the second kick is 0.5 kg⋅m/s.
Explanation:
Momentum is a vector quantity that depends on both the mass and velocity of an object. When the football is kicked by the player initially, it acquires a certain momentum in the direction of the kick. This momentum is given by the product of the mass and velocity of the football.
When the football is returned by the other player with a different velocity, the momentum of the football changes. The change in momentum is equal to the final momentum minus the initial momentum. In this case, the final momentum is calculated using the mass of the football and the velocity after the second kick.
By subtracting the initial momentum from the final momentum, we find the change in linear momentum of the football due to the second kick. The magnitude of this change is 0.5 kg⋅m/s.
Mass of football (m) = 0.5 kg
Initial velocity of first kick (u1) = 5 m/s
Final velocity after second kick (v2) = 6 m/s
To find:
Magnitude of change in linear momentum of the football due to the second kick.
Solution:
Step 1: Calculate the initial momentum (p1) of the football:
The initial momentum (p1) of an object is given by the product of its mass and velocity.
p1 = m * u1
Substituting the given values:
p1 = 0.5 kg * 5 m/s
p1 = 2.5 kg⋅m/s
Step 2: Calculate the final momentum (p2) of the football:
The final momentum (p2) of an object is given by the product of its mass and velocity.
p2 = m * v2
Substituting the given values:
p2 = 0.5 kg * 6 m/s
p2 = 3 kg⋅m/s
Step 3: Calculate the change in linear momentum (Δp) of the football:
The change in linear momentum (Δp) of an object is given by the difference between its final momentum and initial momentum.
Δp = p2 - p1
Substituting the calculated values:
Δp = 3 kg⋅m/s - 2.5 kg⋅m/s
Δp = 0.5 kg⋅m/s
Therefore, the magnitude of change in linear momentum of the football due to the second kick is 0.5 kg⋅m/s.
Explanation:
Momentum is a vector quantity that depends on both the mass and velocity of an object. When the football is kicked by the player initially, it acquires a certain momentum in the direction of the kick. This momentum is given by the product of the mass and velocity of the football.
When the football is returned by the other player with a different velocity, the momentum of the football changes. The change in momentum is equal to the final momentum minus the initial momentum. In this case, the final momentum is calculated using the mass of the football and the velocity after the second kick.
By subtracting the initial momentum from the final momentum, we find the change in linear momentum of the football due to the second kick. The magnitude of this change is 0.5 kg⋅m/s.
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A football of mass 0.5kg is kicked by a player with a velocity 5m/s before reaching to another player of his team .he returns it by kicking along its original path with velocity 6m\s. Calculate the magnitude of change in linear momentum of the football due to second kick .?
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