Question

When a 13.8-kg block is attached to the free end of a vertically hanging spring, he spring stretches by 21 cm. Wjat would the mass of the block have to be in order for the spring to stretch by 31.0 cm?

Answer #1

Given

mass, m= 13.8 kg

x = 21 cm = 0.21 m

a) since F = kx

mg = kx

13.8 kg * 9.8 m/s^2 = k * 0.21 m

k = 644 N/m

b) period , T = 2π√m/k

T = 2 * 3.14 *√13.8 kg/644 N/m

T = 0.91 s

c)Frequency , f = 1/T = 1/0.91s

f = 1.09 Hz

d)The amplitude is the maximum displacement from the equilibrium

position . so A = 31cm

e)Maximum speed , v = Aω = A(2π/T)

= (0.31 m) (2 *3.14)/0.91s

v = 2.13 m/s

A spring hanging vertically under its own weight has length 20
cm. When a 6.5 kg mass is attached to the end of it, it stretches
vertically so that its new length is 117 cm when hanging at rest.
If we remove the 5.8 kg mass, attach a 8.5 kg mass to the end of
the spring, and again allow it to hang vertically, how long will
the spring be?

A spring is hanging vertically from a shelf. When a weight of
mass 0.16 kg is hung from the spring, the spring stretches a
distance 25 cm. That weight is then removed and a new weight of
mass 0.30 kg is hung from the spring. This second weight is then
lifted a distance of 1.8 cm and released. The weight oscillates up
and down. What is the period of oscillation (in units of
seconds)?

A block of mass 0.125 kg is hanging on a spring. Nora gently
pulls the mass down a distance of 4.0 cm and then lets go. The mass
bobs up and down in simple harmonic motion (i.e. it oscillates)
with a period of 0.47 s.
(a) What is the value of the spring constant? N/m
Nora stops the mass from oscillating. She gently pulls the mass
down again, this time to a distance of 5 cm, and lets the mass...

A block of mass m = 0.53 kg attached to a spring with force
constant 119 N/m is free to move on a frictionless, horizontal
surface as in the figure below. The block is released from rest
after the spring is stretched a distance A = 0.13 m. (Indicate the
direction with the sign of your answer. Assume that the positive
direction is to the right.)
The left end of a horizontal spring is attached to a vertical
wall, and...

A 2.3 kg object oscillates at the end of a vertically hanging
light spring once every 0.40 s .
Write down the equation giving its position y (+
upward) as a function of time t. Assume the object started
by being compressed 19 cm from the equilibrium position (where
y = 0), and released. Note: the equilibrium position is
defined here as that location of the mass at rest when it is freely
hung from the spring, not the unstretched...

A 12 cm long spring is attached to the ceiling. When a 2.4 kg
mass is hung from it, the spring stretches to a length of 17
cm.
(a) What is the spring constant k?
N/m
(b) How long is the spring when a 3.2 kg mass is suspended from
it?
cm

A 0.850 kg block is attached to a spring with spring constant
18.0 N/m . While the block is sitting at rest, a student hits it
with a hammer and almost instantaneously gives it a speed of 31.0
cm/s . What are
The amplitude of the subsequent oscillations?
The block's speed at the point where x= 0.150 A?

A 33.0 cm long spring is hung vertically from a ceiling and
stretches to 40.9 cm when a 7.00 kg mass is hung from its free
end.
(a)
Find the spring constant (in N/m).
(b)
Find the length of the spring (in cm) if the 7.00 kg weight is
replaced with a 175 N weight.

A 8.0-cm-long spring is attached to the ceiling. When a 2.5 kg
mass is hung from it, the spring stretches to a length of 17 cm
.
1. What is the spring constant k?
2. How long is the spring when a 3.0 kg mass is suspended from
it?

A spring is attached to a wall, and a 0.50 kg block is attached
to the other end of the spring. The spring-block system sits on a
frictionless surface so that the block is able to oscillate without
losing energy. The spring constant of the spring is k = 25 N/m. The
block is pushed so that it compresses the spring by 20 cm beyond
its equilibrium position. The block is released from rest at
exactly the same time as...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 12 minutes ago

asked 22 minutes ago

asked 43 minutes ago

asked 47 minutes ago

asked 48 minutes ago

asked 48 minutes ago

asked 51 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago