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Goryan [66]
3 years ago
13

car rides on four wheels that are connected to the body of the car by spring assemblies that let the wheels move up and down ove

r bumps and dips in the road. When an 80 kg person sits on the left front fender of a small car, this corner of the car dips by about 1 cm. Treating the spring assembly as a single spring, what is the approximate spring constant
Physics
2 answers:
Kryger [21]3 years ago
4 0

Answer:

approximate spring constant = 78.5 KN/m

Explanation:

From the question,

Mass of person = 80kg

Dip of car = 1cm

From Hooke's law, we know that;

F = kx = mg

Where ;

k is combined spring constant

x = 1cm = 0.01m

g = 9.81 m/s²

Thus,

Kx = mg

K = mg/x

k = (80x9.81)/0.01

k = 78.48 KN/m

This is approximately 78.5 KN/m:

Tomtit [17]3 years ago
3 0

Answer:

78.4 KN/m

Explanation:

Given

mass of person 'm' =80 kg

car dips about i.e spring stretched 'x'=   1 cm  => 0.01m

acceleration due to gravity 'g'= 9.8 m/s^2

as we know that,in order to find approximate spring constant we use Hooke's Law i.e  F=kx

where,

F = the force needed

x= distance the spring is stretched or compressed beyond its natural length

k= constant of proportionality called the spring constant.

F=kx ---> (since f=mg)

mg=kx

k=(mg)/x

k=(80 x 9.8)/ 0.01

k=78.4x10^3

k=78.4 KN/m

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