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
valkas [14]
3 years ago
6

A roller coaster is released from the top of a track that is 57 m high. Find the roller coaster speed when it reaches ground lev

el.
Physics
1 answer:
Art [367]3 years ago
7 0

Hi there!

Assuming the track is frictionless:

E_i = E_f\\\\PE = KE\\\\mgh = \frac{1}{2}mv^2

Cancel out the masses and rearrange to solve for velocity:

gh = \frac{1}{2}v^{2}\\\\v = \sqrt{2gh}\\\\

Plug in the given height and let g = 9.8 m/s²:

v = \sqrt{2(9.8)(57)} = \boxed{33.42 m/s}

You might be interested in
The effects of repeated temperature changes within the cracks in rocks can cause ______ weathering.
Snezhnost [94]

C. Mechanical, because temperature can cause solid objects to expand and contract, causing rocks to split apart.

4 0
3 years ago
Read 2 more answers
Calculate the self-inductance (in mH) of a 45.0 cm long, 10.0 cm diameter solenoid having 1000 loops. mH (b) How much energy (in
Karo-lina-s [1.5K]

Answer:

(a) The self inductance, L = 21.95 mH

(b) The energy stored, E = 4.84 J

(c) the time, t = 0.154 s

Explanation:

(a) Self inductance is calculated as;

L = \frac{N^2 \mu_0 A}{l}

where;

N is the number of turns = 1000 loops

μ is the permeability of free space = 4π x 10⁻⁷ H/m

l is the length of the inductor, = 45 cm = 0.45 m

A is the area of the inductor (given diameter = 10 cm = 0.1 m)

A = \pi r^2 = \frac{\pi d^2}{4} = \frac{\pi \times (0.1)^2}{4} = 0.00786 \ m^2

L = \frac{(1000)^2 \times (4\pi \times 10^{-7}) \times (0.00786)}{0.45} \\\\L = 0.02195 \ H\\\\L = 21.95 \ mH

(b) The energy stored in the inductor when 21 A current ;

E = \frac{1}{2}LI^2\\\\E = \frac{1}{2} \times (0.02195) \times (21) ^2\\\\E = 4.84 \ J

(c) time it can be turned off if the induced emf cannot exceed 3.0 V;

emf = L \frac{\Delta I}{\Delta t} \\\\t = \frac{LI}{emf} \\\\t = \frac{0.02195 \times 21}{3} \\\\t = 0.154 \ s

3 0
3 years ago
Who represents the worst of the iron age in his attempt to feed jupiter once living flesh?
wolverine [178]

Lycaon represents the worst of the iron age in his attempt to feed jupiter once living flesh.

<h3>What is iron age?</h3>

The iron Age is the final epoch of the three-age division of the prehistory and protohistory of humanity.

It was preceded by the Stone Age, and the Bronze Age.

Who is lycaon?

In Greek mythology, Lycaon was a king of Arcadia who, in the most popular version of the myth, tested Zeus' omniscience by serving him the roasted flesh of Lycaon's own son Nyctimus, in order to see whether Zeus was truly all-knowing.

Thus, Lycaon represents the worst of the iron age in his attempt to feed jupiter once living flesh.

Learn more about lycaon here: brainly.com/question/18610700

#SPJ1

4 0
2 years ago
1. In terms of momentum conservation, why does a cannon recoil when fired?
Liula [17]
Newtons law of motion for every action there’s an equal and opposite reaction.
6 0
3 years ago
Read 2 more answers
PLEASE ANSWER ASAP!.!.!!.!!!!.!.!.
lbvjy [14]
1. Most PE, because PE is directly proportional to distance (height)
Height: 100 meters
Speed: 0 mph

2. Most KE, because KE is directly proportional to speed
Height: 10 meters
Speed: 40 mph

3. Most TE, average KE
Height: 10 meters
Speed: 40 mph

4. The skater gains thermal energy as she goes down the slope, because the speed of the skater increases, so it increases the total kinetic energy of the particles, and makes them vibrate faster, resulting in a higher temperature.
8 0
3 years ago
Other questions:
  • How will a wave change as it moves from a layer of higher velocity into a lower layer of lower velocity?
    6·1 answer
  • Hard crystals high melting points and electrical conductivity are properties of
    7·1 answer
  • A hiker walks 2.00 km north and then 3.00 km east, all in 2.50 hours. Calculate the magnitude and direction of the hiker’s (a) d
    10·1 answer
  • Com que rapidez estará sendo feito trabalho elétrico num resistor de 10 ohms, percorrido por uma corrente elétrica de 5 A? Qual
    12·1 answer
  • What happens to an atom of a particular element if it somehow loses a proton?
    14·2 answers
  • The cheetah is one of the fastest accelerating animals, for it can go from rest to 28.0 m/s in 5.20 s. If its mass is 100 kg, de
    14·1 answer
  • which of these statements best explains why the difference between summer and winter temperatures is greatet in Russia thanin FL
    11·1 answer
  • What discovery lead J.J. Thomson to decide that atoms were not indivisible, but are actually composed of smaller parts? Thomson
    12·2 answers
  • A man is standing on the shore of a beach, up to his knees in water. Every second two waves hit him. What is the frequency of th
    7·1 answer
  • A green ball (ball 1) of mass M, collides with an orange (ball 2) of mass 1.26 m. The initial speed of the green ball is 5.4 m/s
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!