Question

After driving a portion of the route, the taptap is fully loaded with a total of 26 people including the driver, with an average mass of 67 kg per person. In addition, there are three 15-kg goats, five 3-kg chickens, and a total of 25 kg of bananas on their way to the market. Assume that the springs have somehow not yet compressed to their maximum amount. How much are the springs compressed?

Answer 1

Answer:

0.44807175m

Explanation:

k = Spring constant = $4\times 10^{4}\ N/m$ (Assumed, as it is not given)

g = Acceleration due to gravity = 9.81 m/s²

Total mass is

$m=26\times 67+3\times 15+5\times 3+25\\\Rightarrow m=1827\ kg$

The total weight will balance the spring force

$mg=kx\\\Rightarrow x=\dfrac{mg}{k}\\\Rightarrow x=\dfrac{1827\times 9.81}{4\times 10^{4}}\\\Rightarrow x=0.44807175\ m$

The springs are compressed by 0.44807175m