1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Digiron [165]
2 years ago
11

A 535 kg roller coaster car began at rest at the top of a 93.0 m hill. Now it is at the top of the first loop-de-loop.

Physics
2 answers:
fomenos2 years ago
8 0

B) The car has both potential and kinetic energy, and it is moving at 24.6 m/s.

Explanation:

Since the track is frictionless, the total mechanical energy of the car is constant, and it is always sum of the kinetic energy (K) and potential energy (U):

E=K+U

At the beginning, when the car is at rest at the top of the hill, all its energy is just gravitational potential energy (because the velocity is zero, so the kinetic energy is zero), so the mechanical energy is:

E=U_0=mgh=(535 kg)(9.8 m/s^2)(93.0 m)=487,599 J

At the top of the loop-de-loop, the car will have both potential energy (because it has a certain height above the ground) and kinetic energy (because it has some speed), but the total will still be the same:

E=U+K=487,599 J

We can calculate the potential energy at this point:

U=mgh=(535 kg)(9.8 m/s^2)(62.0 m)=325,066 J

So, the kinetic energy must be

K=E-U=487,599 J-325,066 J=162,533 J

And since the kinetic energy is related to the speed v by:

K=\frac{1}{2}mv^2

we can find the speed of the car at the top of the loop-de-loop:

v=\sqrt{\frac{2K}{m}}=\sqrt{\frac{2\cdot 162,533 J}{535 kg}}=24.6 m/s

iVinArrow [24]2 years ago
4 0
Using g = 9.8 m/s2, the statement that best describes the roller coaster car when it is at the top of the loop-de-loop is that The car has both potential and kinetic energy, and it is moving at 24.6 m/s. The correct answer is <span>B) The car has both potential and kinetic energy, and it is moving at 24.6 m/s.</span>
You might be interested in
Ron has not used heroin for several days. He has a
katen-ka-za [31]
I wanna say withdrawal? Ron needs to go to rehab
6 0
2 years ago
A box of mass m = 1.80 kg is dropped from rest onto a massless, vertical spring with spring constant k = 2.00 ✕ 102 N/m that is
Rudik [331]

Answer:

spring compressed is 0.724 m

Explanation:

given data

mass = 1.80 kg

spring constant k = 2 × 10²  N/m

initial height = 2.25 m

solution

we know from conservation of energy is

mg(h+x)  = 0.5 × k × x²       ...................1

here x is compression in spring

so put here value in equation 1 we get

1.8 × 9.8 × (2.25+x)  = 0.5 × 2× 10² × x²

solve it we get

x = 0.724344

so spring compressed is 0.724 m

3 0
3 years ago
The electric field in a region of space increases from 0 to 2150 N/C in 5.00 s. What is the magnitude of the induced magnetic fi
Feliz [49]

To solve this problem we will use the Ampere-Maxwell law, which   describes the magnetic fields that result from a transmitter wire or loop in electromagnetic surveys. According to Ampere-Maxwell law:

\oint \vec{B}\vec{dl} = \mu_0 \epsilon_0 \frac{d\Phi_E}{dt}

Where,

B= Magnetic Field

l = length

\mu_0 = Vacuum permeability

\epsilon_0 = Vacuum permittivity

Since the change in length (dl) by which the magnetic field moves is equivalent to the perimeter of the circumference and that the electric flow is the rate of change of the electric field by the area, we have to

B(2\pi r) = \mu_0 \epsilon_0 \frac{d(EA)}{dt}

Recall that the speed of light is equivalent to

c^2 = \frac{1}{\mu_0 \epsilon_0}

Then replacing,

B(2\pi r) = \frac{1}{C^2} (\pi r^2) \frac{d(E)}{dt}

B = \frac{r}{2C^2} \frac{dE}{dt}

Our values are given as

dE = 2150N/C

dt = 5s

C = 3*10^8m/s

D = 0.440m \rightarrow r = 0.220m

Replacing we have,

B = \frac{r}{2C^2} \frac{dE}{dt}

B = \frac{0.220}{2(3*10^8)^2} \frac{2150}{5}

B =5.25*10^{-16}T

Therefore the magnetic field around this circular area is B =5.25*10^{-16}T

3 0
2 years ago
HELP ME PLEASE ILL MAKE U BRANLEIST IF WRITE
katen-ka-za [31]

so the 1st on is the one on the left, middle is right and the 3rd one is the right one

3 0
3 years ago
Read 2 more answers
In a college homecoming competition, eighteen students lift a sports car. While holding the car off the ground, each student exe
Nata [24]

Answer:

Explanation:

Given

Each student exert a force of F=400 N

Let mass of car be m

there are 18 students who lifts the car

Total force by 18 students F=18\times 400=7200 N

therefore weight of car W=7200

mass of car m=\frac{W}{g}

m=\frac{7200}{9.8}=734.69 kg

(b)7200 N \approx 1618.624\ Pound-force

734.69 kg\approx 1619.71 Pounds                  

6 0
2 years ago
Other questions:
  • 1. 3 main components of a circuit
    12·2 answers
  • Forces always come in pairs — so each ______ has a reaction
    8·1 answer
  • A single point charge q is located at the center of both an imaginary cube and an imaginary sphere. How does the electric flux t
    7·1 answer
  • Help!! I’ll give brainliest! Match the changes in sound wave properties with their effects on an observer.
    6·1 answer
  • In your own words, explain how Doppler radar works. Describe the properties of electromagnetic waves and interactions that make
    14·2 answers
  • The density of atmosphere on a certain planet is found to decrease as altitude increases what is the type of relationship betwee
    13·1 answer
  • Despite the attempts of the US, Egypt and __ , in 1978 to achieve peace in the Middle East, which region continues to be plagued
    6·1 answer
  • 1. What are three questions you should ask before joining a club?
    13·1 answer
  • The μ-receptor (mu) a. plays a role in analgesia and the rewarding effects of morphine. b. overlaps with the κ-receptor in its d
    11·1 answer
  • Nicolaus Copernicus was a Polish astronomer who is best known for the theory that the sun is near the center of the universe and
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!