Question

The force required to maintain the spring at 0.5m is 40 N. And force required to maintain the spring at 0.45m is 25 N. How much work is necessary to move the spring from 0.6m to 1m.

Answer #1

Hooke's Law states that the force required to maintain a spring stretched x meters beyond its natural length is kx

Let the natural length of spring be L. Then we can write, for the force being experienced in both cases,

To solve, we divide (1) by (2)

Now we find the distance by which spring is moved beyond its natural state

According to Hooke’s Law, the force required to maintain
a spring stretched x units beyond its natural length is
proportional to x, that is,fx=k x. A force of 40 N is required to
hold a spring that has been stretched from its natural length of 10
cm to a length of 15 cm. How much work is done in stretching the
spring from 15 cm to 18 cm?
Item 3a Below, show all work to set up the integral that...

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.)

8. A
spring has a natural length of 50cm (0.50m). Applying a force of
1000 N compresses it to 45cm (0.45m). This is in the realm of a
car’s suspension spring for just 1 wheel. Compute the total work
done in compressing it from its natural length to 45cm.

A spring has a natural length of 30 cm. If a 20-N force is
required to keep it stretched to a length of 46 cm, how much work
W is required to stretch it from 30 cm to 38 cm? (Round
your answer to two decimal places.)
W =

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?

A force of 8 lb is required to hold a spring stretched 2 in.
beyond its natural length. How much work W is done in
stretching it from its natural length to 6 in. beyond its natural
length?

A certain spring has a spring constant k1 =
420 N/m as the spring is stretched from x = 0 to
x1 = 34 cm. The spring constant then changes to
k2 = 330 N/m as the spring is stretched to
x2 = 79 cm. From x2 = 79 cm
to x3 = 97 cm the spring force is constant at
F3 = 120 N.
(a) Use the area under the curve to calculate
the work, in joules, necessary to...

Use Hooke's Law to determine the work done by the variable force
in the spring problem. A force of 350 newtons stretches a spring 30
centimeters. How much work is done in stretching the spring from 10
centimeters to 40 centimeters?
Thank you

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 7 minutes ago

asked 9 minutes ago

asked 11 minutes ago

asked 12 minutes ago

asked 18 minutes ago

asked 18 minutes ago

asked 32 minutes ago

asked 44 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago