A kid puts 0.12 J of energy in compressing a toy.To which height will the toy rise if
the mass of the toy is 0.012kg?
m g h = .12 J
.012 * 9.8 * h = .12
To determine the height to which the toy will rise, we need to use the principle of conservation of energy. The potential energy gained by the toy due to compression will be equal to the energy input.
The potential energy gained by the toy (PE) is given by the formula:
PE = m * g * h
Where:
m is the mass of the toy (0.012 kg)
g is the acceleration due to gravity (approximately 9.8 m/s^2)
h is the height to which the toy will rise (what we need to find)
We have the potential energy (PE) as 0.12 J. Plugging in the values in the formula, we can solve for h:
0.12 = 0.012 * 9.8 * h
To find h, we can rearrange the equation:
h = 0.12 / (0.012 * 9.8)
Calculating this, we find:
h ≈ 0.102 m
Therefore, the toy will rise to a height of approximately 0.102 meters.