In its current position, the ball has 0.38 J of gravitational potential energy. The gravitational field strength on Earth is 9.8 m/s2.What is the ball's current height if its mass is 0.042 kg?______mGive your answer to 2 significant figures.
Question
In its current position, the ball has 0.38 J of gravitational potential energy. The gravitational field strength on Earth is 9.8 m/s2.What is the ball's current height if its mass is 0.042 kg?______mGive your answer to 2 significant figures.
Solution
To find the height, we can use the formula for gravitational potential energy:
Potential Energy (PE) = mass (m) * gravity (g) * height (h)
We can rearrange this formula to solve for height:
h = PE / (m * g)
Substituting the given values:
h = 0.38 J / (0.042 kg * 9.8 m/s²)
h = 0.38 J / 0.4116 kg*m/s²
h = 0.923 m
So, the ball's current height is approximately 0.92 m when rounded to two significant figures.
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