A 1.5 kg book on top a shelf has a PE (Potential Energy) of 29.4 J. How high is the shelf?
http://www.jiskha.com/display.cgi?id=1407333641
2.5
To calculate the height of the shelf, we can use the formula for potential energy:
PE = mgh
Where PE is the potential energy, m is the mass, g is the acceleration due to gravity, and h is the height.
In this case, the mass of the book is given as 1.5 kg, and the potential energy is given as 29.4 J. We can rearrange the formula to solve for the height:
h = PE / (mg)
Inserting the given values:
h = 29.4 J / (1.5 kg * g)
The value of g is approximately 9.8 m/s^2.
Now, calculating the height:
h ≈ 29.4 J / (1.5 kg * 9.8 m/s^2)
Simplifying the expression:
h ≈ 29.4 J / 14.7 N
h ≈ 2 meters
Therefore, the height of the shelf is approximately 2 meters.
aaarrrgghhh
1.5 (9.81) h = 29.4
still