Suppose there is no friction on a roller coaster, a man of 80 Kg mass decides...
Suppose there is no friction on a roller coaster, a man of 80 Kg
mass decides to skate on this roller coaster, the man is located at
the highest point that is 32 m high, wants to get a speed record
when he arrives to the lowest point. Determine:
a) How much is the mechanical energy at the highest point, and
still not moving?
b) How much is the mechanical energy at the lowest point of the
roller coaster?
c) How much is the potential energy at the highest point?
d) How much is the kinetic energy at the lowest point?
e) How much is the potential energy in a point that man is 10 m
high.
f) How much is the kinetic energy at a point that is at a height of
5 m?
g) Using the kinetic energy at the lowest point answer What is the
speed record reached by the skater?
h) Explain why the mechanical energy can be exclusively potential
energy?
i) Explain why the mechanical energy can be exclusively potential
energy?
Homework Answers
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Suppose there is no friction on a roller coaster, a man of 80 Kg
mass decides...
A roller coaster of mass 80.0 kg is moving with a speed of 20.0 m/s at...
A roller coaster of mass 80.0 kg is moving with a speed of 20.0
m/s at position A as shown in the
figure. The vertical height above ground level at position A is 200
m. Neglect friction.
a. What is the total mechanical energy of the roller coaster at
point A?
EA =
b. What is the total mechanical energy of the roller coaster at
point B?
EB =
c. What is the speed of the roller coaster at point...
A car of mass 500. kg on a roller coaster ride is raised from the ground...
A car of mass 500. kg on a roller coaster ride is raised from
the ground (horizontal dotted line) to point A as shown in the
diagram above. When the car passes point A, its speed is 5.0 m/s,
and then it rolls freely through the rest of the ride with
negligible friction, passing points B, C, D and E. Note that point
D is the highest portion of a circular loop, and point E is the
lowest portion of...
Problem 1: Looping. The looping of a roller coaster has the radius R. The roller coaster...
Problem 1: Looping. The looping of a roller coaster has the radius R. The roller coaster starts at rest in height H over the deepest point of the looping (as shown in the figure). Neglect friction and consider the roller coaster as a mass point of mass m. Q.1) Express the total energy of the body. The reference point for the potential energy is at the center of the loop. Q.2) Find the speed of the body at the top...
(8c8p4) In the figure, a frictionless roller coaster of mass 1000 kg tops the first hill...
(8c8p4) In the figure, a frictionless roller coaster of mass 1000 kg tops the first hill at height, h = 28 m with speed 8.55 m/s. How much work does its weight do on it from that point to point A? How much work does its weight do on it from that point to point B? How much work does its weight do on it from that point to point C? If the gravitational potential energy of the coaster-Earth system...
In the figure, a frictionless roller coaster car of mass m = 637 kg tops the...
In the
figure, a frictionless roller coaster car of mass m = 637 kg tops the first
hill with speed v0 = 19.3 m/s at
height h = 37.2 m. How much work
does the gravitational force do on the car from that point
to (a) point A, (b) point B, and (c) point C? If the gravitational
potential energy of the car-Earth system is taken to be zero
at C, what is its value when
the car is at...
4. A roller-coaster car with a mass of 250 kg carries a 75 kg passenger and...
4. A roller-coaster car with a mass of 250 kg carries a 75 kg passenger and starts from rest from a point 20 m above the ground. At point C, it is 15 m above the ground. A. What is the initial potential energy of the car (in kJ) at point A? - 75 kg 250. kg B. What is the potential energy at point B? C. If the initial kinetic energy was zero and the work done against friction...
You are testing a new roller coaster ride in which a car of mass m moves...
You are testing a new roller coaster ride in which a car of mass m moves around a vertical circle of radius R. In one test, the car starts at the bottom of the circle (point A) with initial kinetic energy Ki. When the car reaches the top of the circle (point B), its kinetic energy is Ki/4, and its gravitational potential energy has increased by Ki/2. What was the speed of the car at point A, in terms of...
The mass of a roller-coaster, including its passengers, is 500.0 kg. The radius r 2 of...
The mass of a roller-coaster, including its passengers, is 500.0 kg. The radius r 2 of the highest track (point B) in the figure is 40 m. Find the speed of the roller-coaster when the passengers feel weightless at the the top of the track. Weightless is the condition when the contact force between the coaster and the track is zero, that is, the normal force is zero. Use g = 10 m/s. 20 m/s 10V3 m/s 10 m/s 10v5...
A roller-coaster car (mass = 988 kg including passengers) is about to roll down a track....
A roller-coaster car (mass = 988 kg including passengers) is about to roll down a track. The diameter of the circular loop is 21.5 m and the car starts out from rest 36.2 m above the lowest point of the track. Ignore friction and air resistance. X is the how high the car is= 36.2 m Y is the diameter of the loop= 21.5 m. What is the force exerted on the car by the track at the top of...
A roller coaster with mass (m=2500kg) has a speed of 10 m/s as it goes over...
A roller coaster with mass (m=2500kg) has a speed of 10 m/s as it goes over a 13 m hill. When it reached the crest of a second hill 8 m tall, it is traveling at a velocity of 13 m/s. How much work did friction do on the coaster?
A roller coaster of mass 80.0 kg is moving with a speed of 20.0
m/s at position A as shown in the
figure. The vertical height above ground level at position A is 200
m. Neglect friction.
a. What is the total mechanical energy of the roller coaster at
point A?
EA =
b. What is the total mechanical energy of the roller coaster at
point B?
EB =
c. What is the speed of the roller coaster at point...
A car of mass 500. kg on a roller coaster ride is raised from
the ground (horizontal dotted line) to point A as shown in the
diagram above. When the car passes point A, its speed is 5.0 m/s,
and then it rolls freely through the rest of the ride with
negligible friction, passing points B, C, D and E. Note that point
D is the highest portion of a circular loop, and point E is the
lowest portion of...
Problem 1: Looping. The looping of a roller coaster has the radius R. The roller coaster starts at rest in height H over the deepest point of the looping (as shown in the figure). Neglect friction and consider the roller coaster as a mass point of mass m. Q.1) Express the total energy of the body. The reference point for the potential energy is at the center of the loop. Q.2) Find the speed of the body at the top...
In the
figure, a frictionless roller coaster car of mass m = 637 kg tops the first
hill with speed v0 = 19.3 m/s at
height h = 37.2 m. How much work
does the gravitational force do on the car from that point
to (a) point A, (b) point B, and (c) point C? If the gravitational
potential energy of the car-Earth system is taken to be zero
at C, what is its value when
the car is at...
4. A roller-coaster car with a mass of 250 kg carries a 75 kg passenger and starts from rest from a point 20 m above the ground. At point C, it is 15 m above the ground. A. What is the initial potential energy of the car (in kJ) at point A? - 75 kg 250. kg B. What is the potential energy at point B? C. If the initial kinetic energy was zero and the work done against friction...
The mass of a roller-coaster, including its passengers, is 500.0 kg. The radius r 2 of the highest track (point B) in the figure is 40 m. Find the speed of the roller-coaster when the passengers feel weightless at the the top of the track. Weightless is the condition when the contact force between the coaster and the track is zero, that is, the normal force is zero. Use g = 10 m/s. 20 m/s 10V3 m/s 10 m/s 10v5...
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