Question

A car starts at the bottom of a circular track with an inital velocity of 50m/s through a height of 10 m. The radius of the track is 10m. (A) Describe the resulting motion of the car if no energy is lost. (B) Find the position on the track where the normal force is zero. (C) Does the car loose contact with the track? Explain, (D) and calculate the maximum height the car reached on the track. (E) Is the velocity zero at the Max height? Explain with a picture.

Answer #1

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 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?...

An automobile moves on a circular track of radius 1.04 km. It
starts from rest from the point (x, y) = (1.04 km, 0 km) and moves
counterclockwise with a steady tangential acceleration such that it
returns to the starting point with a speed of 29.2 m/s after one
lap. (The origin of the Cartesian coordinate system is at the
center of the circular track.)
What are the car's position and velocity vectors when it is
one-sixth of the way...

A particle with mass 2.61 kg oscillates horizontally at the end
of a horizontal spring. A student measures an amplitude of 0.923 m
and a duration of 129 s for 65 cycles of oscillation. Find the
frequency, ?, the speed at the equilibrium position, ?max, the
spring constant, ?, the potential energy at an endpoint, ?max, the
potential energy when the particle is located 68.5% of the
amplitude away from the equiliibrium position, ?, and the kinetic
energy, ?, and...

A jet accelerates at a=3.92 m/s^2 from rest until it reaches its
takeoff velocity of 360 km/hr. It has to travel for 5 seconds at
its takeoff velocity before taking off. What's the minimum distance
that the jet will travel on the runway?
A car backs up at a constant speed for a short time, then
applies the brakes and steadily comes to rest. Sketch velocity-time
and position-time graphs that depict the car's motion. Assume that
the forward direction is...

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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