A car has a weight of 24000N which is distributed equally across all four wheels. Each wheel
has a spring of spring constant 400 N/cm.

a) Determine the force on the spring for each wheel.

b) Calculate the compression (x) of each spring when the car rests on the ground.

Respuesta :

(a) The force on the spring for each wheel of the given car is 6,000 N.

(b) The compression of each spring when the car rest on the ground is 15 cm.

The given parameters;

  • weight of the car, W = 24,000 N
  • spring constant, k = 400 N/cm

The force on the spring for each wheel of the given car is calculated as follows;

[tex]F = F_1 = F_2 = F_3 = F_4 = \frac{W}{4} \\\\F= \frac{24,000}{4} \\\\F = 6,000 \ N[/tex]

The compression of each spring when the car rest on the ground is calculated as;

[tex]F= kx\\\\x = \frac{F}{k} \\\\x = \frac{6,000}{400} \\\\x = 15 \ cm[/tex]

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