How Does Gravity Affect the Maximum Height of a Thrown Ball?

[needhelp?]

Q1. A ball was thrown vertically into the air at a speed of 30m/s
a) Calculate the maximum height of the ball.
b) If the same ball was thrown on the Moon where gravity is one sixth of the gravity on Earth, what would be the maximum height now?

 

[pallidin]

Just wondering... does the mass of the ball have any effect on the result(s)?

 

[thomate1]

a) To calculate the maximum height of the ball, we can use the equation h = (v^2*sin^2θ)/2g, where h is the maximum height, v is the initial velocity (30m/s in this case), θ is the angle of projection (in this case, it is 90 degrees as the ball is thrown vertically), and g is the acceleration due to gravity (9.8m/s^2 on Earth).
Substituting the values, we get h = (30^2*sin^2(90))/2*9.8 = 45.918m. Therefore, the maximum height of the ball is approximately 45.918 meters.

b) On the Moon, the acceleration due to gravity is one sixth of that on Earth, i.e. 1.63m/s^2. Using the same equation, we get h = (30^2*sin^2(90))/2*1.63 = 561.47m. Therefore, the maximum height of the ball on the Moon would be approximately 561.47 meters. This is significantly higher than the maximum height on Earth due to the lower gravity on the Moon.