5. a baseball and a golf ball have the same momentum. which has greater kinetic engergy?
-the golf ball because of the greater velocity
12. you have a choice of catching a baseball or a bowling ball, both with the same KE. which is safe?
-catching the baseball is safe because it has it has less mass
To understand why the golf ball has greater kinetic energy than the baseball, we need to know that kinetic energy is determined by both mass and velocity.
The formula for kinetic energy is KE = (1/2) * mass * velocity^2.
Given that both the baseball and the golf ball have the same momentum, we can deduce that the product of mass and velocity is the same for both balls. Therefore, if the two balls have the same momentum, the golf ball must have a greater velocity than the baseball.
Since kinetic energy depends on the square of the velocity, a greater velocity means a much larger increase in kinetic energy. Thus, the golf ball will have a greater kinetic energy compared to the baseball.
Moving on to the second question, we are asked which ball is safer to catch, a baseball or a bowling ball, assuming they have the same kinetic energy.
To determine this, we need to consider the impact force experienced when catching each ball. The impact force experienced depends on the change in momentum, which is equal to the product of mass and velocity.
Given that both balls have the same kinetic energy, we can deduce that their velocities are the same. However, the mass of a bowling ball is significantly larger than the mass of a baseball. Hence, according to Newton's second law (F = m * a), the force experienced when stopping the bowling ball will be much greater than the force experienced when stopping the baseball.
Therefore, catching the baseball would be safer because it has less mass and will result in a lower impact force compared to catching the bowling ball with the same kinetic energy.