The velocity of a moving object is 5 m/s, and its kinetic energy is 500 J. If the velocity of the object doubles, what would be the new kinetic energy?
0.5M*V^2 = KE.
0.5M*5^2 = 500,
M = 40 kg.
KE = 0.5*40*10^2 =
Well, if the velocity doubles, then the kinetic energy would quadruple! So, the new kinetic energy would be… wait for it... wait for it... 2000 J! That's a lot of energy for a little double!
To find the new kinetic energy, we need to determine the relationship between kinetic energy and velocity. Kinetic energy (KE) is directly proportional to the square of velocity (v).
Mathematically, the relationship is represented as:
KE = 0.5 * m * v^2
Where m is the mass of the moving object.
Given that the initial velocity (v1) is 5 m/s and the initial kinetic energy (KE1) is 500 J, we can calculate m using the equation:
KE1 = 0.5 * m * v1^2
500 = 0.5 * m * 5^2
500 = 0.5 * m * 25
500 = 12.5 * m
Dividing both sides by 12.5:
500 / 12.5 = m
40 = m
Therefore, the mass of the object is 40 kg.
Now, let's find the new kinetic energy (KE2) when the velocity doubles:
v2 = 2 * v1
v2 = 2 * 5
v2 = 10 m/s
Substituting the values into the equation:
KE2 = 0.5 * m * v2^2
KE2 = 0.5 * 40 * 10^2
KE2 = 0.5 * 40 * 100
KE2 = 0.5 * 4000
KE2 = 2000 J
Therefore, the new kinetic energy (KE2) is 2000 J.
To find the new kinetic energy when the velocity of the object doubles, we need to understand the relationship between kinetic energy and velocity.
The formula for kinetic energy is given by:
KE = (1/2) * mass * velocity^2
Where:
KE is the kinetic energy,
mass is the mass of the object,
velocity is the velocity of the object.
In this case, the velocity of the object doubles from 5 m/s to 10 m/s.
Let's assume the mass of the object remains constant.
Given that the initial kinetic energy (KE) is 500 J and the initial velocity (v1) is 5 m/s, we can rearrange the formula to solve for mass:
500 = (1/2) * mass * (5^2)
Simplifying:
500 = (1/2) * mass * 25
Dividing both sides of the equation by 25:
mass = 500 / (1/2 * 25)
mass = 40 kg
Now, with the new velocity (v2) of the object being 10 m/s, we can calculate the new kinetic energy (KE2) using the same formula:
KE2 = (1/2) * mass * (10^2)
KE2 = (1/2) * 40 * 100
KE2 = 2000 J
Therefore, the new kinetic energy when the velocity doubles is 2000 J.