Answer:
a) k= 3594,7 N/m
b) v= 0.55 m/s
Explanation:
- a)
- As the surface is horizontal, the only change in energy will be the change in kinetic energy, as the box comes to an stop after compressing the spring.
- As we know that the surface is frictionless also, this change in kinetic energy must be equal to the change in the elastic potential energy of the spring.
- So we can write the following equality:
where
and
- Simplifying and replacing by the values, we get:
- Solving for k:
- k = 3594.7 N/m
- b)
- For this part, we can just apply the same equality, replacing the value of k by the one we got, and solving for the initial speed v:
- v = 0.55 m/s