A roller coaster glides from the rest from the top of an 80.0 m hill. What is the speed of the roller coaster at the bottom of the hill?

Answers

Answer 1

As energy is conserve:

[tex]Epi+Ekl=Epf+Ekf[/tex]

i - initial

f - final

Beginning object at rest, [tex]Eki=0[/tex]. Object on the lowest position, hence [tex]Epf=0[/tex].

Therefore:

[tex]Epi=Epf[/tex]

[tex]M.g.h.=\frac{1}{2} (v^{2} )[/tex]

Assume no Mass changed:

[tex]g.h.=\frac{1}{2}( v^{2} )[/tex]

V is at bottom and assuming that [tex]g=\frac{10m}{s^2}[/tex]:

[tex]v=\sqrt{2gh}[/tex]

[tex]v=\sqrt{2(10)(80)}[/tex]

[tex]v=\sqrt{1,600}[/tex]

[tex]v=40[/tex]

The velocity is [tex]40m/s[/tex]


Related Questions

factorise x^3 - 3x^2 - 9x - 5​

Answers

Answer:

(x +1), (x -5) and (x +1)

Explanation:

The computation of the factorization is shown below

Data provided in the question

[tex]X^3 - 3x^2 - 9x - 5[/tex]

Based on the above information, the factors are

Now we have to open these equations in order to get the factors which are as follows

[tex]= x^3 + x^2 - 4x^2 - 4x - 5x - 5[/tex]

[tex]= x^2( x + 1) - 4x ( x + 1) - 5(x + 1)[/tex]

[tex]= (x + 1) (x^2 - 4x - 5)[/tex]

[tex]= (x + 1)(x^2 -5x + x - 5)[/tex]

So,

= (x + 1) (x - 5) (x + 1)

Therefore the (x +1), (x -5) and (x +1) are the factors of the mention polynomial give in the question

ASAP! HELP!
A 66.4 kg person sits on the right end of a seesaw, 2.35m from the fulcrum. On the other end, how far from the fulcrum should a 84.2kg person sit to balance the seesaw?
1: 1.92 m
2: 1.85m
3: 2.08m
4: 1.61 m

Answers

Answer:

2. 1.85

Explanation:

the equations weight * distance / other persons weight = distance from fulcrum. so 66.4*2.35/84.2=1.8532 round down to 1.85

AS WE CLIMB UP, THE PRESSURE INSIDE OUR BODY WILL BE.................. *
1 )low
2)high
3)very high
4)same

Answers

Less depth means less pressure,as we go up in elevation,or height,air pressure decreases.
Prob low since the higher we go, the pressure/ our heart starts to feel heavy (drop low)
Take riding a Roller Coaster for an example, When you go down or up fast, your heart starts dropping as if it’s heavier than it was.

If a truck if it is accelerating at a rate of 5m/s2 and hits a parked car with a force of 16,000 newtons what is its mass?

Answers

Answer:

3200kg

Explanation:

F=ma

16000=5m

m=3200kg

Hope this helps!

The mass of the parked car is 3200 kg if a truck if it is accelerating at a rate of 5 m/s² and hits a parked car with a force of 16,000 newtons.

What is mass?

A tangible body's mass is the amount of matter it possesses. It's also a metric of inertia or the resistance to velocity when a net force is exerted.

It is given that:

If a truck if it is accelerating at a rate of 5 m/s² and hits a parked car with a force of 16,000 newtons

As we know,

Newton's second law:

F = ma

Here F is the force acting on an object.

m is the mass of the object

a is the acceleration of the object.

a = 5 m/s²

F = 16,000 N

m = 3200kg

16000 = 5m

3200 kg

Thus, the mass of the parked car is 3200 kg if a truck if it is accelerating at a rate of 5 m/s² and hits a parked car with a force of 16,000 newtons.

Learn more about the mass here:

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Pls help waves for physics

Answers

Answer:

b) 252 Hz or 260 Hz

c) 0.25 s

Explanation:

b) The frequency of the beats is 4 Hz, and one tuning fork has a frequency of 256 Hz.  Therefore, the second tuning fork is either 4 Hz lower or 4 Hz higher.

f = 252 Hz or 260 Hz

c) Period is the inverse of frequency.

T = 1/f

T = 1 / (4 Hz)

T = 0.25 s

A lamp hangs from the ceiling at a height of 2.6 m. The lamp has a mass of 3.8 kg. The screws holding the lamp break, and it falls to the ground. a. How much gravitational potential energy does the lamp have before it falls? b. How much kinetic energy does the lamp have when it reaches the ground? c. How fast is the lamp moving when it hits the ground?

Whoever answers will get the Brainliest.

Answers

Answer:

Explanation:

Given height of lamp from the ceiling = 2.6m

mass of the lamp = 3.8kg

acceleration due to gravity = 9.81m/s²

As the body falls to the ground, it falls under the influence of gravity.

Gravitational potential energy = mass*acc due to gravity * height

Gravitational potential energy  = 3.8*2.6*9.81

Gravitational potential energy  = 96.923 Joules

b) Kinetic energy = 1/2 mv²

m = mass of the body (in kg)

v = velocity of the body (in m/s²)

To get the velocity v, we will use the equation of motion [tex]v^{2} = u^{2}+2gh[/tex]

[tex]v^{2} = 0^{2}+2(9.81)(2.6) \\v^{2} = 51.012\\v =\sqrt{51.012}\\ v = 7.14m/s[/tex]

Since mass = 3.8kg

[tex]K.E = 1/2 * 3.8 *7.14^{2}\\ K.E = 96.86Joules[/tex]

c) To know how fast the lamp is moving when it hits the ground, we will use the formula. When the body hits the ground, the height covered will be 0m. this means that the body is not moving once it hits the ground. It stays in one position. The energy possessed by the body at this point is potential energy. The correct answer is therefore 0 m/s

Andrew drives to his friend's house, which is 60 miles to the east. After visiting, he travels 25 miles to the west to visit his grandparents. What is Andrew's displacement?

Answers

A few miles like 23 I’m thinking

Andrew's displacement while visiting his grandparents is 35 miles to the east.

What is displacement?

The displacement is the shortest distance travelled by the particle. It is the vector quantity which represents both the magnitude and direction.

Given Andrew drives to his friend's house, which is 60 miles to the east. After visiting, he travels 25 miles to the west to visit his grandparents.

The displacement will be

60 miles to the east - 25 miles to the west = 35 miles to the east

Thus, the Andrew's displacement is 35 miles to the east.

Learn more about displacement.

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How to feel force in daily life?

Answers

ANDWER:
FORCE IS A PUSH OR PULL.
SO IT CAN EASILY BE FELT IN DAILY LIFE,WHEN SOMEONE PUSHES YOU OR SOMEONE PULLS YOU.
EVEN WHEN YOU LIFT A GLASS OF WATER FORCE IS APPLIED.
HOPE IT HELPS!!!!
PLEASE MARK BRAINLIEST!!!!

the apparent weight of a body wholly immersed in water is 32N and its weight in 96N and calculate volume of the body

Answers

Answer:

0.0065 m³

Explanation:

Apparent weight = weight − buoyancy

32 N = 96 N − (1000 kg/m³) (9.8 m/s²) V

V = 0.0065 m³

The________ is a membrane that surrounds a cell Nucleus

Answers

Answer:

nuclear envelope

Explanation:

it surrounds the nucleus and all of its contents

nuclear envelope
The nuclear envelope, also known as the nuclear membrane, is made up of two lipid bilayer membranes which in eukaryotic cells surrounds the nucleus, which encases the genetic material. The nuclear envelope consists of two lipid bilayer membranes, an inner nuclear membrane, and an outer nuclear membrane.

The unit of temperature is called fundamental unit.​

Answers

Answer:

It also includes other measurements as well

what is the velocity of an object that has been in free fall for 2.5 seconds??​

Answers

Answer:

calculate the free fall distance and velocity without air resistance from, the free fall. i hope that helps

Explanation:

We run a distance of 1000 m at a speed of 4.3 m/s. Calculate the time elapsed to cover this distance

Answers

Answer:

So if we need to cover 1000 meters. And we go at a speed of 4.3 m/s. That means that every 4.3 meters we cover is 1 second. So we divide both amd get

1000/4.3 = 232.56 is approx the answer. Also the meters cancel out because

m/(m/s) = m*s/m, cancels out giving s as a unit.

Therefore the answer is 232.56 seconds

The length of a wooden rod is 25.5 cm. What is this length in:
(a) millimetres?
(b) metres?​

Answers

Answer:

[tex](a)255mm \\ (b)0.255m[/tex]

Explanation:

[tex](a)1cm = 10mm \\ 25.5cm = x[/tex]

Cross multiply

[tex]1x = 25.5 \times 10 \\ x = 255mm[/tex]

[tex](b)100cm = 1m \\ 25.5cm = x[/tex]

cross multiply

[tex]100x = 25.5 \\ \frac{100x}{100} = \frac{25.5}{100} \\ x = 0.255m[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

A. 255

B. 0.255

Explanation:

10mm = 1cm

100cm = 1m

<a href="https://en.wikiafripedia.org/wiki/Centimetre">Learn more</a>

https://en.wikiafripedia.org/wiki/Centimetre

A car starts 10 m north of a reference point. It moves at a constant velocity over the next 5 s, reaching a position of 10 m south of the reference point. What is the car's average velocity?

Answers

Answer:

  v = -4 m / s

Explanation:

The average speed of a body is defined by the distance traveled in a given time interval

     v = (x₂ -x₁) / (t₂ -t₁)

in this case the end point is x₂ = -10 m and the start point is x₁ = 10 m, the negative sign is because the point is below the reference that can be considered as zero point

let's calculate

     v = (-10 - 10) / 5

     v = -20 / 5

      v = -4 m / s

A mover uses a ramp to load a crate of nails onto a truck. The crate, which must be lifted 1.5 m from the street to the bed of the truck, is pushed along the length of the ramp. If the ramp is 4.5 m long and friction between the ramp and crate can be ignored, what is the mechanical advantage of the ramp?

Answers

Answer:

3

Explanation:

Using the efficiency formula. Efficiency = MA/VR * 100%

MA = Mechanical Advantage

VR = velocity ratio = [tex]\frac{distance\ moved\ by\ effort}{distance\ moved\ by\ load}[/tex]

Distance moved by effort = 4.5m

distance moved by load = 1.5m

VR = 4.5/1.5 =3

Assuming efficiency is 100% (since friction can be ignored)

100% = MA/3 * 100%

1 = MA/3

MA = 3*1

MA = 3

Mechanical Advantage of the ramp is 3

A high surface tension results from _____.

Answers

Answer:

Capillary Action.

Explanation:

Capillary action is the ability of a liquid to flow in narrow spaces without the assistance of, or even in opposition to, external forces like gravity.

Does the speed of the object affect friction?
So which one would increase friction, going slowly, or going fast.
If possible an explanation? Thanks a bunch. :D

Answers

Answer:

it would

Explanation:

this is because as something rubs against a surface fast, friction heats it up, like when you rub a surface fast and it gets warm on the palm of your hand, that is friction. hope it helped :)

Complete the sentence. According to the law of reflection, the angle of _____ is equal to the angle of reflection.

Answers

Answer:

the angle of incidence equals the angle of reflection

According to the law of reflection, the angle of incidence is equal to the angle of reflection.

What is Reflection ?

Reflection is the change of direction of the wave at the interface which separates two media. it get incident on the other media and get return to the same media is called as reflection. Common examples include the reflection of light, sound and water waves.

we can see that in the dark room when we incident light on the mirror, the direction of the light changes at the point of the incidence. in the scientific language we can say that light has reflected from the surface of the mirror. in this case  angle of incidence is always equal to angle of reflection. reflection is shown in the figure.

To know more about reflection :

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HELP ASAP!!! 100 points!!!!!!!!!

Indicate what happens to the resonant frequency of a mass-and-spring system which acts as simple harmonic oscillator when the following things are changed:

Only the spring constant,k, of the mass-and-spring system is increased.

Only the mass of the mass-and-spring system is increased.

Only the amplitude of the mass-and-spring system is increased.

Choices: Frequency increases, decreases or stays the same.

Answers

Answer:

Shown from explanation.

Explanation:

The resonant frequency is related by the formula;

Fo= 1/2π√(K/M)

Where Fo is resonant frequency

M is mass

K is the spring constant

From the expression above;

When K is increased frequency would increases since frequency is directly proportional to spring constant.

Similarly when the mass is increased the frequency decreases since frequency is inversely proportional to the mass.

Amplitude is a property of a wave and so the frequency stays same.

Answer:

Hi!

So, this is what you need to do.

Fo = 1/2 π √(K/M)

The m = mass (in case you didn't know)

Explanation:

That should help you with your answer :)

Number of atoms present in 1 mole of oxygen atom

Answers

Answer:

1 mole of every substance has 6.022 × 10^23 particles. This is called Avagadro's constant

Using newtons law How much force is accelerated a 66kg skier 2m/s2

Answers

Answer:

SUPONIENDO QUE NO HAY FRICCIÓN

Explanation:

F = 66 kg([tex]2 m/s^{2}[/tex]) = 132 N

if the period wave is 6 seconds what is its frequency

Answers

Answer:

.17Hz

Explanation:

The formula for frequency is f= 1/T , where T is the period.

f = 1/6 and 1/6 ≈ .17

plz help.....A student heard the echo of her voice from nearby solid object after 2 sec. how far away is the solid object? The speed of sound in air is 340m/s.

A. 170m

B. 340m

C. 510m

D. 680m

Answers

Answer:

B.

340meters per second x 2 seconds = 680 meters away

divided by 2coming back = 340

Hope this helps

Explanation:

HELP ASAP!

Why is it misleading to include too many significant figures in a laboratory report?

Answers

Answer:

The last significant figure is inherently uncertain because of the rounding off. The rounding-off uncertainty is usually half of the last figure's decimal-place value if no other uncertainty is expressed. As a rule of thumb results of measurements and calculations have a limited number of significant figures.

need help with ASAP please

Answers

Answer:

first blank is chemical second blank is kinetic energy

Amina has a mass of 48.4kg, what is her weight.please show calculation

Answers

G=m×g

since g=10N,

G=48.4×10

G=484

I hope it's true .d

good luck

how does bimettalic strip work?

Answers

A traditional thermostat has two pieces of different metals bolted together to form what's called a bimetallic strip (or bimetal strip). The strip works as a bridge in an electrical circuit connected to your heating system. ... Eventually, it bends so much that it breaks open the circuit.

Two children are pulling and pushing a 30.0 kg sled. The child pulling the sled is exerting a force of 12.0 N at a 45o angle. The child pushing the sled is exerting a horizontal a force of 8.00 N. There is a force of friction of 5.00 N. What is the acceleration of the sled? Round the answer to the nearest hundredth

Answers

I'm not quite sure what happens to Fay so I didn't finish but hope it helps

A couple of ice cubes float in a glass of water. will the water level in the glass change when the ice cubes have melted? explain your answer

Answers

Answer:

yes

Explanation:

because once tje the cubes melt they will add water

Answer:

No

Explanation:

The water level remains the same when the ice cube melts. A floating object displaces an amount of water equal to its own weight. Since water expands when it freezes, one ounce of frozen water has a larger volume than one ounce of liquid water.

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