what is the kinetic energy of a ball with a mass of 5 kg rolling at 10 m/s
Total kinetic energy depends upon whether the ball is solid or hollow. Total kinetic energy is the sum of translational kinetic energy (Etran),
(M/2)*V^2, and rotational kinetic energy (Erot). The rotational kinetic energy depends upon the moment of inertia.
Erot = (1/2)I*w^2
where w = V/R.
For a solid ball of uniform density,
I = (2/5)M*R^2, and
Erot = (1/2)(2/5)M*R^2*(V/R)^2
= (M/5) V^2
Etotal = Etrans + Erot = (7/10)M*V^2
To find the kinetic energy (KE) of an object, you can use the following formula:
KE = 1/2 * mass * velocity^2
In this case, the mass of the ball is 5 kg, and the velocity is 10 m/s.
Plugging the values into the formula, we have:
KE = 1/2 * 5 kg * (10 m/s)^2
To simplify the calculation, let's perform the exponentiation first:
KE = 1/2 * 5 kg * 100 m^2/s^2
Simplifying further, we have:
KE = 250 kg * m^2/s^2
Therefore, the kinetic energy of the ball with a mass of 5 kg rolling at 10 m/s is 250 Joules (J).