golf club with a mass of 250 g travels at 50 meters per second hits a 40 g golf ball and continues traveling at 35 m/s. What is the speed of the golf ball after impact?
Initial total momentum = final total momentum
40 * 0 + 250 * 50 = 40 * v + 250 * 35
To find the speed of the golf ball after impact, we can use the principle of conservation of momentum. The total momentum before impact is equal to the total momentum after impact.
The momentum of an object can be calculated by multiplying its mass by its velocity. Therefore, the momentum of the golf club before impact is given by:
Momentum of golf club before impact = mass of golf club × velocity of golf club
= 0.25 kg × 50 m/s
= 12.5 kg·m/s
Similarly, the momentum of the golf ball after impact can be calculated as:
Momentum of golf ball after impact = mass of golf ball × velocity of golf ball after impact
= 0.04 kg × velocity of golf ball after impact
According to the conservation of momentum principle,
Momentum before impact = Momentum after impact
12.5 kg·m/s = 0.04 kg × velocity of golf ball after impact
Now, we can solve for the velocity of the golf ball after impact:
Velocity of golf ball after impact = 12.5 kg·m/s / 0.04 kg
= 312.5 m/s
Therefore, the speed of the golf ball after impact is 312.5 m/s.