A tennis player places a 55 kg ball machine on a frictionless surface. The machine fires a 0.065 kg tennis ball horizontally with a velocity of 55 m/s toward the north. What is the final velocity of the machine?
Enter your answer here: m/s
2.87x10^-5 kg
vagian
To find the final velocity of the machine after firing the tennis ball, we can use the principle of conservation of momentum. According to this principle, the total momentum before and after an event remains constant, assuming no external forces act on the system.
The initial momentum of the system is given by the product of the mass and velocity of the tennis ball:
Initial momentum = mass × velocity
= (0.065 kg) × (55 m/s)
= 3.575 kg⋅m/s
Since there are no external forces acting on the system, the final momentum of the system should also be equal to 3.575 kg⋅m/s.
The machine has a mass of 55 kg, so we can calculate its final velocity as:
Final momentum = mass × final velocity
3.575 kg⋅m/s = (55 kg) × final velocity
Simplifying the equation:
final velocity = (3.575 kg⋅m/s) / (55 kg)
= 0.065 m/s
Therefore, the final velocity of the machine is 0.065 m/s when the tennis ball is fired horizontally with a velocity of 55 m/s toward the north.
To find the final velocity of the machine, we can use the principle of conservation of momentum. In this case, we want to find the final velocity of the ball machine after it has fired the tennis ball.
The principle of conservation of momentum states that the total momentum before an event is equal to the total momentum after the event, assuming no external forces act on the system.
In this scenario, the tennis ball is initially at rest, so its initial momentum is zero. The ball machine has a mass of 55 kg and no initial velocity. After the ball is fired, it has a mass of 0.065 kg and a velocity of 55 m/s toward the north.
To find the final velocity of the ball machine, we can calculate the momentum of the tennis ball after it is fired, and equate it to the momentum of the ball machine.
The momentum of an object is defined as the product of its mass and velocity. So, the momentum of the tennis ball after it is fired can be calculated as:
Momentum of tennis ball = mass of tennis ball * velocity of tennis ball
Momentum of tennis ball = 0.065 kg * 55 m/s
Next, we equate the momentum of the tennis ball to the momentum of the ball machine:
Momentum of tennis ball = Momentum of ball machine
0.065 kg * 55 m/s = mass of ball machine * final velocity of ball machine
Now, we can solve for the final velocity of the ball machine:
Final velocity of ball machine = (0.065 kg * 55 m/s) / 55 kg
Final velocity of ball machine = 0.065 m/s
Therefore, the final velocity of the machine is 0.065 m/s.