To determine the object with the greatest kinetic energy, we need to calculate the kinetic energy of each object using the formula:
Kinetic Energy = 1/2 * mass * velocity^2
Since the objects are dropped from a height of 2 meters, we can determine their velocity using the equation:
velocity = sqrt(2 * gravity * height)
where gravity is the acceleration due to gravity (approximately 9.8 m/s^2).
Let's calculate the kinetic energy for each object:
1) table tennis ball:
mass = 2.7 grams = 0.0027 kg
velocity = sqrt(2 * 9.8 * 2) = 6.26 m/s
Kinetic Energy = 1/2 * 0.0027 * (6.26)^2 = 0.042 J
2) baseball:
mass = 147.0 grams = 0.147 kg
velocity = sqrt(2 * 9.8 * 2) = 6.26 m/s
Kinetic Energy = 1/2 * 0.147 * (6.26)^2 = 0.344 J
3) penny:
mass = 2.5 grams = 0.0025 kg
velocity = sqrt(2 * 9.8 * 2) = 6.26 m/s
Kinetic Energy = 1/2 * 0.0025 * (6.26)^2 = 0.039 J
4) small rock:
mass = 248.2 grams = 0.2482 kg
velocity = sqrt(2 * 9.8 * 2) = 6.26 m/s
Kinetic Energy = 1/2 * 0.2482 * (6.26)^2 = 0.487 J
Therefore, the object with the greatest kinetic energy is the small rock, with a kinetic energy of 0.487 Joules. Answer: 4) small rock
Use the table to answer the question.
Object Mass (grams)
table tennis ball 2.7
baseball 147.0
small rock 248.2
penny 2.5
A student drops the four objects listed from a height of 2 meters into a bucket of water. Which object will have the greatest kinetic energy?
Responses:
1) table tennis ball
2) baseball
3) penny
4) small rock
1 answer