Which falling object has the least kinetic energy when it collides on the ground?
a
120 Kg of water falling at 12 m/s
b
12 Kg of water falling at 10 m/s
c
12 Kg of sand falling at 8 m/s
d
120 Kg of sand falling 12 m/s
The answer is c, 12 Kg of sand falling at 8 m/s.
Kinetic energy is calculated using the formula 1/2mv^2, where m is the mass of the object and v is its velocity.
The kinetic energy of each object can be calculated as follows:
a) 1/2 x 120 Kg x (12 m/s)^2 = 8,640 J
b) 1/2 x 12 Kg x (10 m/s)^2 = 600 J
c) 1/2 x 12 Kg x (8 m/s)^2 = 384 J
d) 1/2 x 120 Kg x (12 m/s)^2 = 8,640 J
Therefore, object c has the least kinetic energy upon impact with the ground.
To determine which falling object has the least kinetic energy when it collides on the ground, we need to calculate the kinetic energies for each object.
The formula for kinetic energy is:
Kinetic Energy = 0.5 * mass * velocity^2
Let's calculate the kinetic energy for each option:
a) For 120 Kg of water falling at 12 m/s:
Kinetic Energy (a) = 0.5 * 120 * (12^2)
b) For 12 Kg of water falling at 10 m/s:
Kinetic Energy (b) = 0.5 * 12 * (10^2)
c) For 12 Kg of sand falling at 8 m/s:
Kinetic Energy (c) = 0.5 * 12 * (8^2)
d) For 120 Kg of sand falling at 12 m/s:
Kinetic Energy (d) = 0.5 * 120 * (12^2)
Now, we can compare the kinetic energies to find the object with the least kinetic energy.
To determine which falling object has the least kinetic energy when it collides on the ground, we need to calculate the kinetic energy for each object using the formula:
Kinetic energy (KE) = 1/2 * mass * velocity^2
Let's calculate the kinetic energy for each given option:
Option a: 120 Kg of water falling at 12 m/s
KE = 1/2 * 120 * 12^2 = 1/2 * 120 * 144 = 8640 Joules
Option b: 12 Kg of water falling at 10 m/s
KE = 1/2 * 12 * 10^2 = 1/2 * 12 * 100 = 600 Joules
Option c: 12 Kg of sand falling at 8 m/s
KE = 1/2 * 12 * 8^2 = 1/2 * 12 * 64 = 384 Joules
Option d: 120 Kg of sand falling 12 m/s
KE = 1/2 * 120 * 12^2 = 1/2 * 120 * 144 = 8640 Joules
Comparing the kinetic energies calculated for each option, we can see that option b has the least kinetic energy with 600 Joules. Therefore, the answer is option b: 12 Kg of water falling at 10 m/s.