Answer:
When the speed is doubled, K = 100 J, when the speed is tripled, K = 225 J
Explanation:
Kinetic Energy
Is the type of energy an object has due to its speed. It's proportional to the square of the speed.
The equation for the kinetic energy is:
[tex]\displaystyle K=\frac{1}{2}mv^2[/tex]
Where:
m = mass of the object
v = speed at which the object moves
The kinetic energy is expressed in Joules (J)
The object has a kinetic energy of K=25 J when moving at v=5 m/s, thus the mass can be calculated by solving for m:
[tex]\displaystyle m=\frac{2K}{v^2}[/tex]
[tex]\displaystyle m=\frac{2*25}{5^2}=2[/tex]
m = 2 Kg
If the speed is doubled, v=10 m/s, the new kinetic energy is:
[tex]\displaystyle K=\frac{1}{2}2\cdot 10^2[/tex]
K = 100 J
If the speed is tripled, v=15 m/s, the new kinetic energy is:
[tex]\displaystyle K=\frac{1}{2}2\cdot 15^2[/tex]
K = 225 J
When the speed is doubled, K = 100 J, when the speed is tripled, K = 225 J
