After driving a portion of the route, the taptap is fully loaded with a total of

Question

After driving a portion of the route, the taptap is fully loaded with a total of 24 people including the driver, with an average mass of 62 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?

the effective spring constant of the spring system in the taptap is

2.8×104

Enter the compression numerically in meters using two significant figures.

2.8×104

Explanation / Answer

Number of people= 24

Number of goats=three 15-kg goats

Number of chickens=five 3-kg chickens

Total weight= 25 kg

Total weight on the taptap :

(24 * 62) + (3 * 15) + (5 * 3) + 25 = 1573 kg

Gravitational force exerced on the taptap:

m * g = Fg

Fg = 1573 kg * 9.8 N/kg

Fg = 15415.4 N

F = kx

15415.4 N = 2.8*104 * x

x = 0.55 m = 0.55 m

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