a 0.5 kg ball is thrown upward with an iniatial speed of 10 m/s, what is the initial kinetic energy of the ball and the total mechanical energy assuming initial potential energy is zero.

K.E. = (1/2) mv ²

K.E. = (1/2) ( 0.5 kg )( 10 m/s ) ²
K.E. = ______ J

M.E. = K.E. + P.E.
M.E. = ______ J + 0 J
M.E. = ______ J

To find the initial kinetic energy of the ball, you can use the formula:

Kinetic Energy = (1/2) * mass * velocity^2

Given that the mass (m) of the ball is 0.5 kg and the initial speed (v) is 10 m/s, we can substitute these values into the formula and calculate:

Kinetic Energy = (1/2) * 0.5 kg * (10 m/s)^2
= (1/2) * 0.5 kg * 100 m^2/s^2
= 25 Joules

Therefore, the initial kinetic energy of the ball is 25 Joules.

Now, let's move on to calculating the total mechanical energy assuming the initial potential energy is zero. The total mechanical energy of an object is the sum of its kinetic energy and potential energy.

Given that the initial potential energy is zero, we only need to consider the kinetic energy. Hence, the total mechanical energy in this case will be the same as the initial kinetic energy:

Total Mechanical Energy = Initial Kinetic Energy
= 25 Joules