The length, l, that a spring is stretched varies directly as the amount of force, F, applied to the end of the spring. When a force of 10 pounds is applied to a spring, it stretches 3 inches. How much will the same spring stretch if the force is increased to 15 pounds?.

Respuesta :

Answer:

(3 inches × 15 pounds) ÷ 10 pounds

= 4.5 inches

The spring will stretch 4.5 inches if a force of 15 pounds is applied.

The same spring stretch will stretch by 4.5 cm if the spring force is increased to 15 pounds.

What is spring force ?

Spring force is the force required or exerted to compress or stretch a spring upon any object that is attached to it. When an object applies a force to a spring, then the spring applies an equal and opposite force to the object.

given

F1 = 10 pounds

x1 = 3 inches

Spring force = -k*x

k =Spring force / x

k   = 10 /3

F2 = 15 pounds

x2 = ?

F2 = - (10/3) * x2

15 =  - (10/3) * x2

x2 =  - (15 *3)/10

   = - 4.5 cm

The same spring stretch will stretch by 4.5 cm if the spring force is increased to 15 pounds.

learn more about  spring force

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