Question

a person can throw a 300 gram ball at 25 m/s the maximum height the person can throw the ball on Earth?​

Answer 1

Elevation =31.85[m]

Step-by-step explanation:

We can solve this problem by using the principle of energy conservation. This consists of transforming kinetic energy into potential energy or vice versa. For this specific case is the transformation of kinetic energy to potential energy.

We need to first identify all the input data, and establish a condition or a point where the potential energy is zero.

The point where the ball is thrown shall be taken as a reference point of potential energy.

`E_(p) = E_(k) \\where:\\E_(p)= potential energy [J]\\ E_(k)= kinetic energy [J]`

m = mass of the ball = 300 [gr] = 0.3 [kg]

v = initial velocity = 25 [m/s]

`E_(k)=(1)/(2)  * m* v^(2) \\E_(k)= (1)/(2) * 0.3* (25)^(2) \\E_(k)= 93.75 [J]`

`93.75=m*g*h\\where:\\g = gravity = 9.81 [m/s^2]\\h = elevation [m]\\replacing\\h=(E_(k))/(m*g) \\h=(93.75)/(.3*9.81) \\h=31.85[m]`