A spring has a natural length of 50cm. If a 60N force is
required to keep...
A spring has a natural length of 50cm. If a 60N force is
required to keep the spring compressed 20cm, how much work is done
during this compression? How much work is required to compress the
spring to a length of 25cm?
A spring has a natural length of 24 cm. If a 27-N force is
required to keep it stretched to a length of 30 cm, how much work W
is required to stretch it from 24 cm to 27 cm? Round your answer to
two decimal places. W = J
A certain spring is compressed 0.2 metres from its natural
length by a force of 0.02 newtons. A 0.1 kilogram mass is attached
to this spring. There is no damping, and the mass is acted on by an
external force of 0.05 cos(0.8 t) newtons, where t is measured in
seconds. At t = 0, the mass is released, at rest, from its rest
(equilibrium) position.
(a) Set up and solve the initial value problem for the
displacement x(t) of...
In a spring-mass-dashpot system, a force of 1 Newtons is
required to stretch the spring for .05 meters. A mass of 4 kg is
hung from the spring and also attached to a viscous damper that has
a damping constant 8 Newton-sec/m. The mass is suddenly set in
motion from its equilibrium location at t = 0 by an external force
of 8 cost Newtons with initial velocity 0 m/sec. Find the transient
solution and the steady state solution of...
7. A convex lens has a focal length of f= 50cm. An object is
placed 40cm from the lens.Compute the location of the image.
-200 cm
200 cm
22.2 cm
-22.2 cm
8. An LED flashlight produces a beam with an intensity of I=
7.36W/m2 when it illuminates a circular piece of matte
black painted steel having a radius of r = 40cm. If the steel has a
mass of m= 5kg, what is the acceleration of the mirror due...
A spring of negligible mass stretches 3.00 cm from its relaxed
length when a force of 6.60 N is applied. A 0.400-kg particle rests
on a frictionless horizontal surface and is attached to the free
end of the spring. The particle is displaced from the origin to x =
5.00 cm and released from rest at t = 0. (Assume that the direction
of the initial displacement is positive. Use the exact values you
enter to make later calculations.) (a)...
1) A force of 2 pounds is required to hold a spring stretched
0.2 feet beyond its natural length. How much work (in foot-pounds)
is done in stretching the spring from its natural length to 0.9
feet beyond its natural length?
2) Work of 3 Joules is done in stretching a spring from its
natural length to 19 cm beyond its natural length. What is the
force (in Newtons) that holds the spring stretched at the same
distance (19 cm)?...
A spring (70 N/m ) has an equilibrium length of 1.00 m. The
spring is compressed to a length of 0.50 m and a mass of 2.2 kg is
placed at its free end on a frictionless slope which makes an angle
of 41 ? with respect to the horizontal. The spring is then
released. (Figure 1)
Part A
If the mass is not attached to the spring, how far up the slope
from the compressed point will the mass move...
the force exerted by a spring is given by the equation
where F is the force (in Newtons), xis the
displacement of the spring from the equilibrium position (in
centimeters), and k is a spring constant
Create an Excel worksheet showing force as a function of
displacement for two springs whose spring constants are 0.1 N/cm
and 0.5 N/cm. Use displacements ranging from 0 to 20 cm
(i.e. let x = 0, 1, 2 … 20 cm).
a. A force of 40 lb is necessary to hold a spring that has
been stretched from its natural
length of 10 ft to a length of 15 ft. How much work is done in
stretching the spring from 15 ft to a length of 18 ft? (Hint: Use
Hook’s Law F = kx, where x represents distance that the spring is
stretched or compressed past its natural length)
b. A tank full of water has the shape of an...
A 215 g object is attached to a spring that has a force constant
of 72.5 N/m. The object is pulled 7.75
cm to the right of equilibrium and released from rest to slide
on a horizontal, frictionless table.
Calculate the maximum speed of the object.
maximum speed:
m/s
Find the locations of the object when its velocity is one-third
of the maximum speed. Treat the equilibrium position as zero,
positions to the right as positive, and positions to the...