Question

3. Design a roller coaster that falls down a long ramp and then enters a Loop-D-Loop.

(a) Specify the mass of the roller coaster and the radius of the Loop-D-Loop.

(b) Draw the FBD of the roller coaster at the top of the Loop-D-Loop (with origin and axes). Explicitly state the value of the normal force at that point.

(c) Calculate the speed of the roller coaster at the top of the Loop-D-Loop

. (d) Specify a starting height of the coaster at the top of the ramp that is tall enough to allow the roller coaster to clear the Loop-D-Loop.

(e) Determine how much energy was lost through friction.

Answer #1

A roller coaster slides down a frictionless ramp. What is the
minimum height of the ramp such that the roller coaster will
maintain contact at the to of the loop the loop with radius r

A roller coaster enters the bottom of a circular loop with just
the right speed such that its speed at the top of the loop
momentarily is zero. As the name suggests, the roller coaster is
coasting through the loop, that is there is no motor actively
propelling the roller coaster. Also, ignore friction. What can you
say about the direction of the acceleration of the roller coaster
as it is halfway up the loop (in the 3-o-clock position of...

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 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?...

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...

A stunt rider is traveling clockwise around the inside of a
vertical, circular loop of track, riding a motorbike at a constant
speed of 16.1m/s.
a) Draw a FBD of the bike when its at the very top of the
circular track and moving to the right. Neglect air resistance and
friction
b) Although the bike's speed is constant, its acceleration isn't
zero. Explain why, in 1~2 sentences without equations or
calculations, starting with a brief definition of acceleration.
c)...

Design a "bungee jump" apparatus for adults. A bungee jumper falls
from a high platform with two elastic cords tied to the ankles. The
jumper falls freely for a while, with the cords slack. Then the
jumper falls an additional distance with the cords increasingly
tense. Assume that you have cords that are 12
m long, and that the cords stretch in the jump an additional
19
m for a jumper whose mass is 120
kg, the heaviest adult you...

do all five questions
Question 1
20 pts
Ignoring the effects of air resistance, if a ball falls freely
toward the ground, its total mechanical energy
Group of answer choices
increases
remains the same
not enough information
decreases
Flag this Question
Question 2
20 pts
A child jumps off a wall from an initial height of 16.4 m and lands
on a trampoline. Before the child springs back up into the air the
trampoline compresses 1.8 meters. The spring constant...

ch 6
1:
It is generally a good idea to gain an understanding of the
"size" of units. Consider the objects and calculate the kinetic
energy of each one.
A ladybug weighing 37.3 mg
flies by your head at 3.83 km/h
.
×10
J
A 7.15 kg
bowling ball slides (not rolls) down an alley at 17.5 km/h
.
J
A car weighing 1260 kg
moves at a speed of 49.5 km/h.
5:
The graph shows the ?-directed force
??...

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