Problem 1700) kgВ90 m20 m50 mA roller coaster ride at an amusement park lifts a car of mass 700 kg to point A at a height of 90 m above the lowestpoint on the track, as shown above. The car starts from rest at point A, rolls with negligible friction down theincline and follows the track around the loop of radius 20 m. Point B, the highest point in the loop, is at a heightof 50 m above the lowest point on the track.Indicate on the figure the point P at which the maximum speed of the car is attained.(a) i.ii. Calculate the value vmax of this maximum speed.V 2-2g(90-0)-26-9.(0)Vee S17uVe-L1(b) Calculate the speed vB of the car at point B.

Question
Asked Oct 13, 2019
261 views

I'm having some issues understanding my physics homework. It doesnt look like what we were doing in class and I dont think I'm using the right formulas. I need some help with a & b, attached.

Problem 1
700) kg
В
90 m
20 m
50 m
A roller coaster ride at an amusement park lifts a car of mass 700 kg to point A at a height of 90 m above the lowest
point on the track, as shown above. The car starts from rest at point A, rolls with negligible friction down the
incline and follows the track around the loop of radius 20 m. Point B, the highest point in the loop, is at a height
of 50 m above the lowest point on the track.
Indicate on the figure the point P at which the maximum speed of the car is attained.
(a) i.
ii. Calculate the value vmax of this maximum speed.
V 2-2g(90-0)
-26-9.(0)
Vee S17u
Ve-
L1
(b) Calculate the speed vB of the car at point B.
help_outline

Image Transcriptionclose

Problem 1 700) kg В 90 m 20 m 50 m A roller coaster ride at an amusement park lifts a car of mass 700 kg to point A at a height of 90 m above the lowest point on the track, as shown above. The car starts from rest at point A, rolls with negligible friction down the incline and follows the track around the loop of radius 20 m. Point B, the highest point in the loop, is at a height of 50 m above the lowest point on the track. Indicate on the figure the point P at which the maximum speed of the car is attained. (a) i. ii. Calculate the value vmax of this maximum speed. V 2-2g(90-0) -26-9.(0) Vee S17u Ve- L1 (b) Calculate the speed vB of the car at point B.

fullscreen
check_circle

Expert Answer

Step 1

(a)

(i) Point P, where the speed is maximum is located at the lowest point on the roller coaster. At the lowest point potential energy is lowest and hence kinetic energy is maximum.

Step 2

(ii) Write the expression for conservation of energy at point A and P

mv? = mgh
v=2gh
help_outline

Image Transcriptionclose

mv? = mgh v=2gh

fullscreen
Step 3

Substituting th...

- /2(9,81m/s)(90 m
42.02m/s
42 m/s
help_outline

Image Transcriptionclose

- /2(9,81m/s)(90 m 42.02m/s 42 m/s

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Science

Advanced Physics

Related Advanced Physics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: (10%) Problem 3: Three electric charges, Q1-2 C, Q2-2 C, and Q,--10 C, are shown in the figure, alon...

A: Given:

question_answer

Q: A shopper pushes a grocery cart 22.0 m at constant speed on level ground, against a 31.0 N frictiona...

A: a)the work done by the fricional force is 

question_answer

Q: Using Dirac delta functions in the appropriate coordinate system, express the following charge distr...

A: a) Consider the charge distribution given by,

question_answer

Q: Evaluate ⟨x⟩, ⟨px ⟩, ∆x, ∆p_x , and ∆x ∆p_x for the normalized wavefunction where L is a positive co...

A: The expectation value of x is:

question_answer

Q: A power plant operates at a 25.0% efficiency during the summer when the seawater used for cooling is...

A:  Here Th is the absolute temperature of the hot source and Tc that of the cold sink, usually measure...

question_answer

Q: (10% ) Problem 7: An infinite conducting cylindrical shell of outer radius ri-0.10 m and inner radiu...

A: Given:

question_answer

Q: Calculate the amount of time it would require for 1eV of energy to be absorbed by an atom in a metal...

A: Here we have,

question_answer

Q: A charge of -6.00 nC is spread uniformly over the surface of one face of a nonconducting disk of rad...

A: The surface charge density of the circular disc is

question_answer

Q: I need help with calculus question that deals with physics and elliptical orbits.

A: Apogee is the farthest point from Sun and Perigee is the nearest point.Consider the motion of Earth ...