Which falling object will result in the least kinetic energy when it collides with the ground?
1. 10 grams of water falling at 1 m/s
2. 100 grams of dirt falling at 15 m/s
3. 100 grams of water falling at 10 m/s
4. 10 grams of dirt falling at 2 m/s
The kinetic energy of an object can be calculated using the formula KE = 1/2 * m * v^2, where m is the mass of the object and v is its velocity.
1. KE = 1/2 * 0.01 kg * (1 m/s)^2 = 0.005 Joules
2. KE = 1/2 * 0.1 kg * (15 m/s)^2 = 11.25 Joules
3. KE = 1/2 * 0.1 kg * (10 m/s)^2 = 5 Joules
4. KE = 1/2 * 0.01 kg * (2 m/s)^2 = 0.02 Joules
Therefore, option 1, 10 grams of water falling at 1 m/s, will result in the least kinetic energy when it collides with the ground.
To determine which falling object will result in the least kinetic energy when it collides with the ground, we can use the formula for kinetic energy:
Kinetic energy (KE) = (1/2) * mass * velocity^2
Let's calculate the kinetic energy for each object:
1. 10 grams of water falling at 1 m/s:
KE = (1/2) * 0.01 kg * (1 m/s)^2 = 0.005 J
2. 100 grams of dirt falling at 15 m/s:
KE = (1/2) * 0.1 kg * (15 m/s)^2 = 11.25 J
3. 100 grams of water falling at 10 m/s:
KE = (1/2) * 0.1 kg * (10 m/s)^2 = 5 J
4. 10 grams of dirt falling at 2 m/s:
KE = (1/2) * 0.01 kg * (2 m/s)^2 = 0.02 J
So, the falling object that will result in the least kinetic energy when it collides with the ground is 10 grams of water falling at 1 m/s, which has a kinetic energy of 0.005 J.
To determine which falling object will result in the least kinetic energy when it collides with the ground, you need to calculate the kinetic energy for each object using the formula:
Kinetic Energy = (1/2) * mass * velocity^2
Let's calculate the kinetic energy for each of the options:
1. For 10 grams of water falling at 1 m/s:
Kinetic Energy = (1/2) * 0.01 kg * (1 m/s)^2 = 0.005 joules
2. For 100 grams of dirt falling at 15 m/s:
Kinetic Energy = (1/2) * 0.1 kg * (15 m/s)^2 = 11.25 joules
3. For 100 grams of water falling at 10 m/s:
Kinetic Energy = (1/2) * 0.1 kg * (10 m/s)^2 = 5 joules
4. For 10 grams of dirt falling at 2 m/s:
Kinetic Energy = (1/2) * 0.01 kg * (2 m/s)^2 = 0.02 joules
Therefore, the object with the least kinetic energy when colliding with the ground is 10 grams of water falling at 1 m/s, with a kinetic energy of 0.005 joules.