Question
In: Physics
The length of nylon rope from which a mountain climber is suspended has a force constant...
The length of nylon rope from which a mountain climber is suspended has a force constant of 1.18 ✕ 104 N/m.
(a)
What is the frequency (in Hz) at which he bounces, given that his mass plus the mass of his equipment is 78.0 kg?
(b)
How much would this rope stretch (in cm) to break the climber's fall if he free-falls 2.00 m before the rope runs out of slack? Hint: Use conservation of energy.
(c)
Repeat both parts of this problem in the situation where twice this length of nylon rope is used.
frequency (in Hz)?
length (in cm)?
Solutions
genius_generous answered 2 years agoRelated Solutions
The length of nylon rope from which a mountain climber is suspended has a force constant...
The length of nylon rope from which a mountain climber is
suspended has a force constant of 1.40 104
N/m. (Hz)
(a) What is the frequency at which he bounces, given his mass plus
equipment to be 70.0 kg? (m)
(b) How much would this rope stretch to break the climber's fall,
if he free-falls 2.00 m before the rope runs out of slack?
(c) Repeat both parts of this problem in the situation where twice
this length of nylon rope...
The length of nylon rope from which a mountain climber is suspended has a force constant...
The length of nylon rope from which a mountain climber is
suspended has a force constant of 1.1 × 10^4 N/m.
Part (a) What is the frequency, in Hz, at which he bounces,
given his mass and the mass of his equipment is 86 kg?
Part (b) How much would this rope stretch, in centimeters, to
break the climber's fall if he free-falls 1.6 m before the rope
starts to stretch?
Part (c) What is the frequency, in Hz, at...
The length of nylon rope from which a mountain climber is suspended has a force constant...
The length of nylon rope from which a mountain climber is
suspended has a force constant of 1.18 ✕ 104 N/m.
A) What is the frequency (in Hz) at which he bounces, given that
his mass plus the mass of his equipment is 78.0 kg?
B) How much would this rope stretch (in cm) to break the
climber's fall if he free-falls 2.00 m before the rope runs out of
slack? Hint: Use conservation of energy.
C) Repeat both parts...
1. A 93 kg mountain climber hangs from a nylon rope and stretches it by 14.5...
1. A 93 kg mountain climber hangs from a nylon rope and
stretches it by 14.5 cm. If the rope was originally 39.0 m long and
its diameter is 1.0 cm, what is Young's modulus for the nylon (in
Pa)?
Group of answer choices
2.21e+09 Pa
3.12e+09 Pa
3.21e+09 Pa
2.12e+09 Pa
6. If a certain mass of water falls a distance of 50.0 meters
and all the energy is effective in heating the water, what will be
the temperature...
An 85.4-kg climber is scaling the vertical wall of a mountain. His safety rope is made...
An 85.4-kg climber is scaling the vertical wall of a mountain.
His safety rope is made of nylon that, when stretched, behaves like
a spring with a spring constant of 1.19 103 N/m. He accidentally
slips and falls freely for 0.815 m before the rope runs out of
slack. How much is the rope stretched when it breaks his fall and
momentarily brings him to rest?
**A crate with a mass of 45 kg is suspended from a massless rope that runs...
**A crate with a mass of 45 kg is suspended from a massless
rope that runs vertically upward over a light pulley. The other end
of the rope is connected to a 35 kg crate, which lies on a
tabletop. The coefficients of the kinetic friction and the static
friction between the crate and the surface are 0.3 and 0.5
respectively. An applied force, F, pulls the 35 kg crate to the
right.
In the first case, the applied force...
1) A child is swinging from a suspended rope 4.0 m long that will break if...
1) A child is swinging from a suspended rope 4.0 m long that
will break if the tension equals twice the weight of the child.
a) What is the greatest angle the rope can make with the
vertical during a swing if the rope is not to break?
b) If the angle slightly exceeds that found in part (a), what is
the speed of the child when the rope breaks?
A 75 kg mountain climber hangs stationary from a bungee cord over a steep incline of...
A 75 kg mountain climber hangs stationary from a bungee cord
over a steep incline of 80◦ (nearly a vertical wall). The bungee
cord has a Hooke constant of k = 550 N/m and is parallel to the
incline.
(a) If the climber has a coefficient of friction μs = 0.9 with
the incline, how much will the rope deform? Assume that the maximum
amount of friction (and thus the minimum deformation).
(b) Suppose the climber loses their grip, reducing...
A block of mass M is hanging from a rope of length L. You throw a...
A block of mass M is hanging from a rope of length L. You throw
a ball of clay of mass m towards the block. The clay hits the block
along the horizontal axis with a speed v, and proceeds to stick to
the block. The block and clay swing up to a maximum height h. Find
h.
A hollow ball of diameter D is suspended from a string of negligible mass whose length...
A hollow ball of diameter D is suspended from a string of
negligible mass whose length is equal to the ball’s diameter. The
string is attached to the surface of the ball. Find an expression
for the period of this physical pendulum in the small-amplitude
approximation.
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