High School

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.
- Three 15-kg goats.
- Five 3-kg chickens.
- A total of 25 kg of bananas.

Assume that the springs have not yet compressed to their maximum amount. How much are the springs compressed?

Answer :

Answer:

0.44807175m

Explanation:

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

g = Acceleration due to gravity = 9.81 m/s²

Total mass is

[tex]m=26\times 67+3\times 15+5\times 3+25\\\Rightarrow m=1827\ kg[/tex]

The total weight will balance the spring force

[tex]mg=kx\\\Rightarrow x=\dfrac{mg}{k}\\\Rightarrow x=\dfrac{1827\times 9.81}{4\times 10^{4}}\\\Rightarrow x=0.44807175\ m[/tex]

The springs are compressed by 0.44807175m

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