Answer:
Incomplete Question
Explanation:
String constant is not stated
I'll solve this in a general way.
At the end of my explanation, I'll assume any value for string constant.
The total weight on the taptap : Weight of people + Weight of goats + Weight of chickens + weight of banana
= (25 * 66) + (3 * 15) + (5 * 3) + 25 = 1735 kg
The gravitational force exerted on the taptap
Fig = m*g
where m = the total mass 1735kg
and g = 9.8m/s²
Hooke's law of Elasticity states that
Fs = Kx
Where Fs = spring force
k = spring constant
x = spring stretch or compression
Since Fs = Fg
So, Kx = mg
Make x the subject of the formula
x = mg/k --------------- This is the general way of solving for spring compressor in cases like this
I'll replace m and g with their values, respectively.
Because, the spring constant (k) is omitted in the question, I'll assume it to be 30000
x = 1735 * 9.8/30000
x = 17003/30000
x = 0.566767 metres
x = 0.57 metres ------------- Approximated
In conclusion, the spring compression is 0.57 metres if the spring constant is 30000
