Answer:
10.032 N.
Explanation:
From the question given above, the following data were obtainedb
Mass (m) = 2.5 Kg
Final length = 10.0 cm
Original length = 21.4 cm
Spring constant (K) = 88 N/m
Force (N) =?
Next, we shall determine the compression of the spring. This can be obtained as follow:
Final length = 10.0 cm
Original length = 21.4 cm
Compression (e) =?
e = Original length – final length
e = 21.4 – 10
e = 11.4 cm
Next, we shall convert 11.4 cm to m. This can be obtained as follow:
100 cm = 1 m
Therefore,
11.4cm = 11.4 cm × 1 m / 100 cm
10 cm = 0.114 m
Finally, we shall determine the force. This can be obtained as illustrated below:
Compression (e) = 0.114 m
Spring constant (K) = 88 N/m
Force (N) =?
F = Ke
F = 88 × 0.114
F = 10.032 N
Thus, the force in the spring is 10.032 N
