Answer:
1.72m
Explanation:
Step 1:
Data obtained from the question.
Displacement (x) = 0.15 m
Spring constant (K) = 300 N/m
Mass (m) = 0.2 kg
Height (h) =?
Step 2:
Determination of the energy in the spring.
The energy is a spring can be obtained by the following equation:
E = 1/2 kx^2
E = 1/2 x 300 x 0.15^2
E = 150 x 0.0225
E = 3.375J
Step 3:
Determination of the maximum height.
At maximum height, the energy stored is the spring is equal to the potential energy i.e
Energy stored in the string = potential energy
E = P.E
Recall:
Potential energy = mgh
Where:
m is the mass = 0.2kg
g is the acceleration due to gravity = 9.8m/s2
h is the height. =?
Potential energy (P.E) = 3.375J
PE = mgh
3.375 = 0.2 x 9.8 x h
Divide both side by 0.2 x 9.8
h = 3.375/ (0.2 x 9.8)
h = 1.72m
Therefore, the maximum height of the box is 1.72m
