Question

A roller coaster car of mass 900 kg when released from rest at
point A (height *h* above the ground) slides along the track
and inside the loop of radius 15.0 m. The car never loses contact
with the track.

- Draw below a free body diagram for the car at the bottom of the loop. If the speed of the car at the bottom of the loop (point B) is 25 m/s, what is the normal force at that point?
- What would be the maximum height of release of the car, if the speed at the top of the loop is not to exceed 16 m/s and the amount of thermal energy produced by friction from the point of release to the top of the loop should not exceed 10% of the mechanical energy at the point of release?

Answer #1

A roller coaster car of mass 800 kg when released from rest at
point A (height h above the ground) slides along the track
and inside the loop of radius 16.0 m. The car never loses contact
with the track.
Draw below a free body diagram for the car at the top of the
loop. If the speed of the car at the top of the loop (point C) is
17 m/s, what is the normal force at that point?...

)A roller-coaster car may be represented by a block of mass 50.0
kg . The car is released from rest at a height h = 45.0 m above the
ground and slides along a frictionless track. The car encounters a
loop of radius R = 15.0 m at ground level, as shown. As you will
learn in the course of this problem, the initial height 45.0 m is
great enough so that the car never loses contact with the
track.Find...

A roller-coaster car may be represented by a block of mass 50.0
kg . The car is released from rest at a height h = 48.0 m above the
ground and slides along a frictionless track. The car encounters a
loop of radius R = 16.0 m at ground level, as shown. As you will
learn in the course of this problem, the initial height 48.0 m is
great enough so that the car never loses contact with the
track....

A roller coaster car with a mass of 920.5 kg starts from rest at
the top of a 47.1 m hill labeled h1. The car travels to the bottom
of the hill and continues up the next hill that is 12.5 m high and
labeled h2.
a.) Ignoring friction, what is the speed of the roller coaster
car at the bottom of the hill?
b.) Ignoring friction, what is the speed of the roller coaster
car at the top of...

A roller-coaster car (mass = 988 kg including passengers) is
about to roll down a track. The diameter of the circular loop is
17.2 m and the car starts out from rest 41.0 m above the lowest
point of the track. Ignore friction and air resistance. where x =
41.0 m and y = 17.2 ma)
a)What is the force exerted on the car by the track at the top
of the loop? ___kN
b)From what minimum height above the...

You are testing a new amusement park roller coaster with an
empty car with a mass of 120 kg . One part of the track is a
vertical loop with a radius of 12.0 m . At the bottom of the loop
(point A) the car has a speed of 25.0 m/s and at the top of the
loop (point B) it has speed of 8.00 m/s .
As the car rolls from point A to point B, how much...

A 356kg roller coaster starts at rest a height of 5R above the
ground and goes around a loop-the-loop of diameter 2.3R.
a. What is its speed at the top of the loop, if the work done by
friction is zero?
b. What is its speed at the end of the track at height of zero,
if the work done by friction remains zero?
c. Explain what the maximum work done by friction could be if
the roller coaster is...

A 356kg roller coaster starts at rest a height of 5R above the
ground and goes around a loop-the-loop of diameter 2.3R. a. What is
its speed at the top of the loop, if the work done by friction is
zero? b. What is its speed at the end of the track at height of
zero, if the work done by friction remains zero? c. Explain what
the maximum work done by friction could be if the roller coaster is...

5. A 356kg roller coaster starts at rest a height of 5R above
the ground and goes around a loop-the-loop of diameter 2.3R. a.
What is its speed at the top of the loop, if the work done by
friction is zero? b. What is its speed at the end of the track at
height of zero, if the work done by friction remains zero? c.
Explain what the maximum work done by friction could be if the
roller coaster...

Assume the 33 kN roller coaster starts from rest and is launched
with electromagnetic motors along a horizontal section of
track.
It takes 13 m to reach a speed of 27 m/s.
A. What force is applied to the roller coaster during the
launch?(include units with answer)
B. A meter measures the energy input into the motors during the
launch as 0.508 kW-hour. What is the efficiency of the motors?
(%)
C. After the launch, the roller coaster goes straight...

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