If a rubber band is stretched a particular distance,

the restoring force is defined as the force needed to

restore the rubber band to its original form. When a

particular rubber band is stretched to a length of 30

centimeters, the restoring force is - 35 newtons, and

when it is stretched to a length of 90 centimeters, the

restoring force is - 125 newtons. For every additional

20 centimeters from its original form, the restoring

force decreases by c newtons, where c is a constant.

What is the value of c?

Question

SAT

Archie

18 December, 17:17

If a rubber band is stretched a particular distance,

the restoring force is defined as the force needed to

restore the rubber band to its original form. When a

particular rubber band is stretched to a length of 30

centimeters, the restoring force is - 35 newtons, and

when it is stretched to a length of 90 centimeters, the

restoring force is - 125 newtons. For every additional

20 centimeters from its original form, the restoring

force decreases by c newtons, where c is a constant.

What is the value of c?

+2

Answers (1)

Know the Answer?

Kadyn Diaz · Answer 1

c = - 30 N

Explanation:

Initial length L1 = 30 cm

Initial restoring force F1 = - 35 N

Final length L1 = 90 cm

Final restoring force F2 = - 125 N

Between 30 cm and 90 cm, one will increase extension by 20 cm 3 times. This means the force between - 35 N to - 125 N increased by 3 constant value.

-125 - (-35) = - 90 N.

this means that the constant is,

c = - 90/3 = - 30 N

This means that for every 20 cm increase, there is a 30 N decrease in the restoring force