A hockey puck with a mass of 0.18 kg at a velocity of 40 m/s toward a goal keeper. The goalkeeper has a mass of 120 kg and is at rest. Assuming a closed system find the total momentum of the puck before the puck is caught by the goalkeeper
The momentum of an object is given by the product of its mass and velocity.
The momentum of the hockey puck can be calculated using the equation:
Momentum (puck) = mass (puck) × velocity (puck)
Given that the mass of the puck is 0.18 kg and its velocity is 40 m/s, we can substitute these values into the equation to find the momentum of the puck:
Momentum (puck) = 0.18 kg × 40 m/s = 7.2 kg⋅m/s
Since momentum is a vector quantity (it has both magnitude and direction), we should specify the direction for consistency.
The total momentum of the puck before it is caught by the goalkeeper is 7.2 kg⋅m/s, in the direction of motion of the puck.
To find the total momentum of the puck before it is caught by the goalkeeper, we can use the principle of conservation of momentum, which states that the total momentum of a closed system remains constant.
The momentum of an object is defined as the product of its mass and velocity. Therefore, the momentum of the puck can be calculated by multiplying its mass (0.18 kg) with its velocity (40 m/s):
Momentum of the puck = mass of the puck × velocity of the puck
= 0.18 kg × 40 m/s
Using a calculator, we find that the momentum of the puck is 7.2 kg·m/s.
Since no external forces are acting on the system (puck and goalkeeper), their total momentum will remain constant. Thus, the total momentum of the system before the goalie catches the puck is 7.2 kg·m/s.
To find the total momentum of the puck before it is caught by the goalkeeper, we can use the principle of conservation of momentum. According to this principle, the total momentum of a closed system remains constant if no external forces act on it.
The momentum of an object is given by the formula: momentum = mass * velocity.
Given that the mass of the hockey puck is 0.18 kg and its velocity is 40 m/s, we can calculate its momentum as follows:
Momentum of the puck = mass of the puck * velocity of the puck
= 0.18 kg * 40 m/s
= 7.2 kg·m/s
Since the goalkeeper is initially at rest, their initial momentum is zero.
Therefore, the total momentum of the system (the puck and the goalkeeper) before the puck is caught by the goalkeeper is 7.2 kg·m/s.