find the mass of a ball on a roof 30 meters high, if the ball's gravitational energy is 58.8 joules.
Eg=mgy
m=(gy)/(Eg)
=(9.8x30)/(58.8)
=5kg
Well, that's quite the high-flying ball! To find the mass of the ball, we can use the formula for gravitational potential energy:
Gravitational energy (PE) = mass (m) x gravity (g) x height (h)
Given that the gravitational energy (PE) is 58.8 joules, the height (h) is 30 meters, and the gravity (g) is approximately 9.8 m/s², we can rearrange the formula to solve for the mass (m):
m = PE / (g x h)
Plugging in the values:
m = 58.8 joules / (9.8 m/s² x 30 meters)
m ≈ 0.2 kilograms
So, the mass of the ball on the roof is approximately 0.2 kilograms. Just make sure you don't drop it on your head!
To find the mass of the ball, we can use the equation for gravitational potential energy:
Gravitational potential energy (PE) = mass (m) × gravitational acceleration (g) × height (h)
Given that the gravitational potential energy is 58.8 joules, the height is 30 meters, and the gravitational acceleration is approximately 9.8 m/s^2, we can rearrange the equation to solve for mass:
m = PE / (g × h)
Substituting the given values:
m = 58.8 J / (9.8 m/s^2 × 30 m)
m = 58.8 J / 294 m^2/s^2
m ≈ 0.2 kg
Therefore, the mass of the ball is approximately 0.2 kg.
To find the mass of the ball, we can use the gravitational potential energy equation:
Gravitational Potential Energy (GPE) = mass (m) * acceleration due to gravity (g) * height (h)
In this case, the gravitational energy (GPE) is given as 58.8 joules, the height (h) is 30 meters, and the acceleration due to gravity (g) is approximately 9.8 m/s².
So, the equation can be rearranged as:
GPE = m * g * h
Let's substitute the known values into the equation:
58.8 joules = m * 9.8 m/s² * 30 meters
Now, we can solve for the mass (m):
m = 58.8 joules / (9.8 m/s² * 30 meters)
m ≈ 0.2 kg
Therefore, the mass of the ball on the roof is approximately 0.2 kilograms.