# calculus

A spring has a natural length of 24 cm. If a 20-N force is required to keep it stretched to a length of 40 cm, how much work W is required to stretch it from 24 cm to 32 cm? (Round your answer to two decimal places.

1. 👍
2. 👎
3. 👁
1. the spring constant (k) is ... 20 N / (40 - 24) cm = 1.25 N/cm = 125 N/m

work = 1/2 k x^2 = 1/2 * 125 * [(.32 - .24) m]^2 = ? Joules

1. 👍
2. 👎

## Similar Questions

1. ### Calculus

Suppose that 5 J of work is needed to stretch a spring from its natural length of 28 cm to a length of 36 cm. (a) How much work is needed to stretch the spring from 32 cm to 34 cm? (Round your answer to two decimal places.) (b)

2. ### Calculus

It took 1800 J of work to stretch a spring from its natural length of 2m to a length of 5m. Find the spring's force constant. Please help. Thanks in advance.

3. ### Algebra!!!! HELP

Use Hooke's Law for springs, which states that the distance a spring is stretched (or compressed) varies directly as the force on the spring. A force of 265 newtons stretches a spring 0.15 meter (see figure). (a) How far will a

4. ### Math (Calculus) (Work)

Six and one-half foot-pounds of work is required to compress a spring 4 inches from its natural length. Find the work required to compress the spring an additional one-half inch. (Round your answer to two decimal places.) This is

1. ### Physics

The force required to stretch a spring varies directly with the amount the spring is stretched. A force of 29 pounds is needed to stretch a spring 39 inches. How much force is required to stretch the spring 27 inches? Answer in

2. ### physics

A spring has an unstretched length of 10 cm . It exerts a restoring force F when stretched to a length of 12 cm . For what total stretched length of the spring is its restoring force 3F? At what compressed length is the restoring

3. ### Calculus

A spring has a natural length of 18 cm. If a 22-N force is required to keep it stretched to a length of 24 cm, how much work W is required to stretch it from 18 cm to 21 cm? (Round your answer to two decimal places.) Arg, another

4. ### Integral Calculus

A force of 4 pounds is required to hold a spring stretched 0.1 feet beyond its natural length. How much work (in foot-pounds) is done in stretching the spring from its natural length to 0.6 feet beyond its natural length?

1. ### calculus

If the work required to stretch a spring 1 ft beyond its natural length is 9 ft-lb, how much work is needed to stretch it 3 in. beyond its natural length?

2. ### Physics

An ideal spring hangs vertically from the ceiling. When 1.0 kg mass hangs from the spring it is extended 5.0 cm from its relaxed length. A downward external force is now applied to the mass to extend the spring an additional 10

3. ### Physics

A spring of unknown force constant is attached to a rod so that it hangs vertically. With no mass attached, the spring has a length of 12.0 cm. When a student attaches a mass of 50 grams, the spring stretches to a length of

4. ### Math

I need help with this questions. a). An overhead garage door has two springs, one on each side of the door. A force of 15 pounds is required to stretch each spring 1 foot. Because of a pulley system, the springs stretch only