13.54 N/m
0.6 m
4.37 m/s
32.496 m/s²
Explanation:
m = Mass of block = 0.25 kg
k = Spring constant
A = Amplitude
x = Compression of spring = 0.24 m
a = Acceleration = -13 m/s²
v = Velocity = 4 m/s
The weight of the block and force on spring is equal
The spring's force constant is 13.54 N/m
Total energy of the system is given by
At maximum displacement v = 0
The amplitude of the motion is 0.6 m
Speed of the block
The maximum speed of the block during its motion is 4.37 m/s
Forces in the spring
Maximum magnitude of the block's acceleration during its motion is 32.496 m/s²