Calculate Physics of 0.2kg Ball Thrown Vertically

[reggie]

A ball of mass 0.2 kg is thrown vertically upwards with a speed of 30m per second.
It can just reach a height of 10m.

1 . calculate the total loss in mechanical energy when ball reach the highest point.

2. Find the average air resistance opposing the motion of the ball.

 

[dextercioby]

Well,what have you done so far?

Daniel.

 

[thepatientmental]

1. To calculate the total loss in mechanical energy, we can use the conservation of energy principle, which states that the total energy of a system remains constant. In this case, the initial mechanical energy of the ball is equal to its final mechanical energy at the highest point.

Initial mechanical energy (Ei) = Kinetic energy (KE) + Potential energy (PE)
Ei = 1/2 * 0.2kg * (30m/s)^2 + 0.2kg * 9.8m/s^2 * 10m
Ei = 90J + 19.6J = 109.6J

At the highest point, the ball has reached its maximum height and therefore has zero kinetic energy. Its potential energy at this point is equal to its maximum potential energy (PEmax) which can be calculated using the formula PEmax = mgh, where m is the mass of the ball, g is the acceleration due to gravity (9.8m/s^2), and h is the height (10m).

PEmax = 0.2kg * 9.8m/s^2 * 10m = 19.6J

Therefore, the total loss in mechanical energy (ΔE) can be calculated as:

ΔE = Ei - Emax
ΔE = 109.6J - 19.6J = 90J

Therefore, the total loss in mechanical energy when the ball reaches the highest point is 90J.

2. To find the average air resistance opposing the motion of the ball, we can use the formula F = ma, where F is the force, m is the mass, and a is the acceleration.

At the highest point, the ball has zero velocity and therefore zero acceleration. This means that the net force acting on the ball is zero. The only force acting on the ball at this point is the force of gravity, which is equal to the weight of the ball (mg).

Therefore, the average air resistance opposing the motion of the ball can be calculated as:

F = ma
0 = m * 0
0 = mg - Fair
Fair = mg = 0.2kg * 9.8m/s^2 = 1.96N

Therefore, the average air resistance opposing the motion of the ball is 1.96N. This means that the air resistance is equal to the