Homework Answers
The concepts used to solve this problem are the conservation of mechanical energy in a simple pendulum.
Initially, use the concept of conservation of mechanical energy to find the potential energy and rank the potential energy that is equated to kinetic energy in the descending order.
Finally, use the expression for velocity of a simple pendulum and rank the velocities from the highest to lowest order.
A simple pendulum is the one that can be considered to be a point mass suspended from a string or a rod of negligible mass.
In a simple pendulum with no friction, the total mechanical energy is conserved.
The total mechanical energy is the sum of kinetic energy and gravitational potential energy. Therefore, as the pendulum swings back and forth, there is a constant exchange between the kinetic and potential energies.
Therefore,
Here, 
is the mass of the pendulum bob, 
is the acceleration due to gravity, 
is the length of the pendulum, and 
is the velocity of the pendulum.
(a)
According to the law of conservation of energy, the maximum kinetic energy is equal to the maximum potential energy.
Case:1
a)The potential energy is given as follows:
Substitute 
for 
, 
for 
, and 
for 
in the above expression.
Case: 2
b)The potential energy is given as follows:
Substitute 
for , for , and for in the above expression.
Case: 2
c)The potential energy is given as follows:
Substitute 
for , for , and 
for in the above expression.
Case: 4
d)The potential energy is given as follows:
Substitute 
for , for , and 
for in the above expression.
Case: 5
a)The potential energy is given as follows:
Substitute 
for , for , and 
for in the above expression.
Case: 6
a)The potential energy is given as follows:
Substitute 
for , for , and 
for in the above expression.
Therefore, arranging the potential energies in the descending order,
Since the maximum kinetic energy is equal to the maximum potential energy, the order of kinetic energy in the descending order can be written as given below:
Here, 
denotes the kinetic energy.
(b)
The conservation of mechanical energy is given by the expression as follows:
Re-arrange the above expression for velocity 
as follows:
Case:1
a)The maximum speed is given as follows:
Substitute for and for in the above expression.
Case: 2
b)The maximum speed is given as follows:
Substitute for and 
for in the above expression.
Case: 3
c)The maximum speed is given as follows:
Substitute for and 
for in the above expression.
Case: 4
d)The maximum speed is given as follows:
Substitute for and 
for in the above expression.
Case: 5
e)The maximum speed is given as follows:
Substitute for and 
for in the above expression.
Case: 6
f)The maximum speed is given as follows:
Substitute for and for in the above expression.
Therefore, arranging the maximum speed in the descending order,
Thus, the maximum kinetic energy of the pendulum ranked in the descending order is .
Thus, the maximum speed of the pendulum can be arranged in the descending order as 
.
Add Answer to:
Rank each pendulum on the basis of the maximum kinetic energy it attains after release. Rank...
Part B Rank each pendulum on the basis of the maximum kinetic energy it attains after...
Part B Rank each pendulum on the basis of the maximum kinetic energy it attains after release Rank from largest to smallest To rank items as equivalent, overlap them h=60cm m=2kg h 60 cm h-30 cm m=2kg h=45 cm m - 3 kg h 30 cm h = 15 cm m=8kg m= largest smallest The correct ranking cannot be determined reset help
The six metals have the work functions, W. Part A Rank these metals on the basis...
The six metals have the work functions, W.Part A Rank these metals on the basis of their cutoff frequency. Rank from largest to smallest. To rank items as equivalent, overlap them.Part B Rank these metals on the basis of the maximum wavelength of light needed to free electrons from their surface. Rank from largest to smallest. To rank items as equivalent, overlap them.Part C Each metal is illuminated with 400 nm (3.10 eV) light. Rank the metals on the basis of the maximum...
Rank these scenarios on the basis of the angle of the first interference maximum. Rank from...
Rank these scenarios on the basis of the angle of the first interference maximum. Rank from largest to smallest. To rank items as equivalent, overlap them.
The six metals have the work functions W.
The six metals have the work functions W. Part ARank these metals on the basis of their cutoff frequency. Rank from largest to smallest. To rank items as equivalent, overlap them. Part BRank these metals on the basis of the maximum wavelength of light needed to free electrons from their surface. Rank from largest to smallest. To rank items as equivalent, overlap them. Part CEach metal is illuminated with 400 nm (3.10 eV) light. Rank the metals on the basis of the maximum...
Conservation of Energy Ranking Task Six pendulums of various masses m are released from various heights...
Conservation of Energy Ranking Task Six pendulums of various
masses m are released from various heights h above a tabletop, as
shown in the figures below. All the pendulums have the same length
and are mounted such that at the vertical position their lowest
points are the height of the tabletop and just do not strike the
tabletop when released. Assume that the size of each bob is
negligible.
Rank each pendulum on the basis of its initial gravitational
potential...
Rank these cars on the basis of their speed a short time (ie. before any car's speed can reach zero) after the forces are applied.
Rank these cars on the basis of their speed a short time (ie. before any car's speed can reach zero) after the forces are applied. Rank from largest to smallest. To rank items as equivalent, overlap them.
Rank these throws based on the maximum height reached by the ball
projectile motion
Rank these throws based on the maximum height reached by the ball. Rank from largest to smallest. To rank items as equivalent. overlap them.
Rank these throws based on the maximum height reached by the ball. Rank from largest to smallest. To rank items as equivalent. overlap them.
Electromagnetic Waves RankingA) from Fastest to slowest Rank these electromagnetic waves on the basis of their...
Electromagnetic Waves RankingA) from Fastest to slowest Rank these electromagnetic waves on the basis of their speed (in vacuum).Rank from fastest to slowest. To rank items as equivalent, overlap themyellow light ,green lights ,x ray, FM radio wave,AM radio wave,infrared lightB) Rank these electromagnetic waves on the basis of their wavelength.Rank from longest to shortest. To rank items as equivalent, overlap them.C) Rank these electromagnetic waves on the basis of their frequency.Rank from largest to smallest. To rank items as...
Rank these objects on the basis of their wavelength. Rank from largest to smallest. To...
Rank these objects on the basis of their wavelength.
Rank from largest to smallest. To rank items as equivalent, overlap them.
Rank from largest to smallest. To rank items as equivalent, overlap them I rope is pulled to the right at a 1 of 2> MacBook Air speed. Rank from largest to smallest. To rank items as equivale...
Rank from largest to smallest. To rank items as equivalent, overlap them I rope is pulled to the right at a 1 of 2> MacBook Air speed. Rank from largest to smallest. To rank items as equivalent, overlap them. rope is pulled to the right at a C) 2012 MacBook Air
Rank from largest to smallest. To rank items as equivalent, overlap them I rope is pulled to the right at a 1 of 2> MacBook Air
speed. Rank from...
Part B Rank each pendulum on the basis of the maximum kinetic energy it attains after release Rank from largest to smallest To rank items as equivalent, overlap them h=60cm m=2kg h 60 cm h-30 cm m=2kg h=45 cm m - 3 kg h 30 cm h = 15 cm m=8kg m= largest smallest The correct ranking cannot be determined reset help
Rank these scenarios on the basis of the angle of the first interference maximum. Rank from largest to smallest. To rank items as equivalent, overlap them.
Conservation of Energy Ranking Task Six pendulums of various
masses m are released from various heights h above a tabletop, as
shown in the figures below. All the pendulums have the same length
and are mounted such that at the vertical position their lowest
points are the height of the tabletop and just do not strike the
tabletop when released. Assume that the size of each bob is
negligible.
Rank each pendulum on the basis of its initial gravitational
potential...
projectile motion
Rank these throws based on the maximum height reached by the ball. Rank from largest to smallest. To rank items as equivalent. overlap them.
Rank these throws based on the maximum height reached by the ball. Rank from largest to smallest. To rank items as equivalent. overlap them.
Rank these objects on the basis of their wavelength.
Rank from largest to smallest. To rank items as equivalent, overlap them.
Rank from largest to smallest. To rank items as equivalent, overlap them I rope is pulled to the right at a 1 of 2> MacBook Air speed. Rank from largest to smallest. To rank items as equivalent, overlap them. rope is pulled to the right at a C) 2012 MacBook Air
Rank from largest to smallest. To rank items as equivalent, overlap them I rope is pulled to the right at a 1 of 2> MacBook Air
speed. Rank from...
Most questions answered within 3 hours.
-
find the critical value associated with a right sided hypothesis of
the mean using a sample...
asked 1 hour ago -
Which of the following statements is true with respect to a
simple linear regression model?
a....
asked 1 hour ago -
The energy required to remove an electron from a surface of a
solid element is called...
asked 3 hours ago -
How would you train your employees to avoid risks of using
mobile devices?
asked 3 hours ago -
Assume Kw = 1.01 ✕ 10−14
For pure water, we can calculate [H3O+ ] = [OH...
asked 4 hours ago -
Suppose that on a temperature scale X, water boils at 203.0°X
and freezes at -105.7°X. What...
asked 5 hours ago -
BaS crystallizes in a cubic unit cell with S2- ions on each
corner and each face....
asked 5 hours ago -
A. 0≤P(Oi)≤10≤P(Oi)≤1 for each i
B. P(Oi)≤0P(Oi)≤0
C. P(Oi)=1+P(OCi)P(Oi)=1+P(OiC)
D. P(Oi)≥1P(Oi)≥1
If an experiment consists of...
asked 7 hours ago -
A battery has an emf of 9.20V and an internal resistance of 1.20
ohm. a)What resistance...
asked 7 hours ago -
The area of an elastic circular loop decreases at a constant
rate, dA/dt = −6.60×10−3 m2/s...
asked 8 hours ago -
The denaturation of proteins can be described by the
equilibrium
F⇌U
where F and U represent...
asked 10 hours ago -
Please answer what the maximum and minimum force is, and the
angle on the ion is...
asked 10 hours ago