Question

Suppose a spring with a natural length of 2 m has spring constant 4 N/m.

(a) Find the amount of work (in J) required to stretch the spring from 3 m to 6 m.

(b) If we apply a 12 Newton force to the spring, how far past its natural length (in m) can we stretch it?

Answer #1

Suppose that 6 J of work is needed to stretch a spring from its
natural length of 32 cm to a length of 40 cm.
(a) How much work is needed to stretch the spring from 36 cm to
38 cm? (Round your answer to two decimal places.)
J
(b) How far beyond its natural length will a force of 35 N keep the
spring stretched? (Round your answer one decimal place.)

Suppose that 6 J of work is needed to stretch a spring from its
natural length of 26 cm to a length of 40 cm.? (a) How much work is
needed to stretch the spring from 31 cm to 35 cm? (Round your
answer to two decimal places.) _____ J(b) How far beyond its
natural length will a force of 30 N keep the spring stretched?
(Round your answer one decimal place.) _____ cm

a spring has a natural length of 40cm. If a 50 Newton force is
required to stretch it to a length of 70cm, how much work is
required to stretch it from its natural length to a length of
80cm?

Suppose that 3 J of work is needed to stretch a spring from its
natural length of 28 cm to a length of 37 cm.
(a) How much work is needed to stretch the spring from 30 cm to
35 cm? (Round your answer to two decimal places.)
J
(b) How far beyond its natural length will a force of 30 N keep the
spring stretched? (Round your answer one decimal place.)
cm

Suppose that 3 J of work is needed to stretch a spring from its
natural length of 36 cm to a length of 53 cm.
(a) How much work is needed to stretch the spring from 41 cm to
45 cm? (Round your answer to two decimal places.)
_____ J
(b) How far beyond its natural length will a force of 30 N keep the
spring stretched? (Round your answer one decimal place.)
_____ cm

Suppose that 5 J of work is needed to stretch a spring from its
natural length of 28 cm to a length of 48 cm.
(a) How much work is needed to stretch the spring from 32 cm to
40 cm? (Round your answer to two decimal places.)
J
(b) How far beyond its natural length will a force of 15 N keep the
spring stretched? (Round your answer one decimal place.)
cm

Suppose that 5 J of work is needed to stretch a spring from its
natural length of 30 cm to a length of 41 cm.
(a) How much work is needed to stretch the spring from 35 cm to
37 cm? (Round your answer to two decimal places.)
(b) How far beyond its natural length will a force of 25 N keep
the spring stretched? (Round your answer one decimal place.)

A spring has a natural length of 50 cm. If a 60-N force is
required to keep it stretched to a length of 72 cm, how much work
is required to stretch it from 50 cm to 65 cm?

Suppose a force of 10 N is required to stretch a spring 0.1 m
from its equilibrium position and hold it in that position.
(a) Assuming the spring obeys Hooke’s law, find the spring
constant.
(b) How much work is needed to stretch the spring 0.25 m from
its equilibrium position?

A spring has a natural length of 14 cm. If a 30-N force is
required to keep it stretched to a length of 26 cm, how much work
W is required to stretch it from 14 cm to 20 cm? (Round
your answer to two decimal places.)

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