11. A roller coaster car is moving slowly up a long ramp to the very top of the roller coaster. It goes over the top and starts down a steep slope and it picks up speed rapidly as it rolls down an almost vertical slope. Four seconds later, at the bottom of the steep slope, its velocity is 28 m/s. The average acceleration during those 4 seconds was 6 m/s2 . What was the initial velocity of the roller coaster car as it started down the slope?

Hi there!

Because of Newton's Third Law, the force exerted by the sprinter on the track is equal and opposite to the force exerted by the track on the sprinter.

We can begin by calculating the sprinter's acceleration. Use the equation:

vf² = vi² + 2ad

Rearrange for acceleration:

(vf² - vi²)/2d = a

Plug in values:

(8² - 2²)/2(2.5) = 60/5 = 12 m/s²

Calculate the force:

∑F = ma

∑F = 60 × 12 = 720 N. This is the amount of force exerted by the track on the sprinter in causing him to accelerate forward.

Thus, the backward force exerted by the sprinter on the track is the opposite, or -720 N.

Answer:

Answer to number 6 = 5 seconds.

Explanation:

Distance = Speed x Time.

So  

t

=

d

s

t

=

5

1

=

5

So the bug will take 5s.

Answer to number 7 =133.33

Explanation:

here s=200m

v=15m/s

now,s=d/t

then,t=d/s

200÷1.5=133.33s

Answer to number 8 = 10.69 s

t = 139m/13 m/s

Answer:

3.33 m/s

Explanation:

1/2 = 1/5 + 1/x

1/x = 1/2 - 1/5

1/x = 5/10 - 2/10

1/x = 3/10

x = 10/3

x = 3.33 m/s

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Answer:

5 remainder 5

Explanation:

divide 120 by 2.3

To calculate the time it would take for information to travel a certain distance along a neuron, you can use the formula: Time = Distance / Speed.

Given that the information travels at 120 meters per second and the distance is 2.3 meters:

Time = 2.3 m / 120 m/s

Time ≈ 0.019167 seconds

To convert seconds to milliseconds, multiply by 1000:

Time in milliseconds ≈ 0.019167 s * 1000 ms/s ≈ 19.167 ms

So, it would take approximately 19.167 milliseconds for the information to travel 2.3 meters along a neuron.

To know more about neuron:

https://brainly.com/question/29462317

#SPJ3

Answer:

Temperature decreases as depth increases (generally)

Explanation:

In general, sunlight will heat the upper level of water.  As you go deeper into the water, the sunlight cannot reach as easily so the temperature is lower.

There are exceptions considering underwater currents like the Gulf Stream or volcanic vents.

Answer:

Explanation:

The mass of the box can be found by using the formula

[tex]m = \frac{f}{a} \\ [/tex]

f is the force

a is the acceleration

From the question we have

[tex]m = \frac{10}{1.2} = 8.333... \\ [/tex]

We have the final answer as

Hope this helps you

Answer:

Explanation:

Fr= Fn-P

ma=Fn-mg

Fn= m(a+g)

Fn=62(1.2+9.8)

Fn= 682N

Answer:

The lens can sharpen the curvature of its front and back surfaces, increasing its focusing power.

Explanation:

A lens can change its refractive power through sharpening of the curvature of its front and back surfaces, thereby increasing its focusing power.

The optical power of a lens is the degree to which the lens is able to converge or diverge light.

The optical power of a lens is measured in Diopters, and obtained by taking the reciprocal of the focal length in meters.

P = 1/F

A lens can change its refractive power through sharpening of the curvature of its front and back surfaces, thereby increasing its focusing power.

Learn more about refractive power of lens here: https://brainly.com/question/17110657

Answer:

When the different objects drop on floor then each object vibrate at its natural frequency and produce different sound.

Explanation:

Conclusion: Thus different object has different vibration frequency and when they dropped on floor each vibrate at its natural frequency and produce different sound.

Answer:

12,433 km

Explanation:

I got this by doing 33,155 and dividing it by 60, which is km per minute, then I did 552.583333, which is km per minute and multiplied it by 22.5, which equals 12,433 km

To check this you can do 12,433 times 2, which is 45 minutes and then use 552.583333, which is per minute, and multiplying by 15, which is 15 minutes, then add

(12,433 x 2 = 24,866) add 8288.75 [15 minutes] and that gets you 33,155

(Brainiest and thanks are very much appreciated for the effort put in)

Answer:

Explanation:

W = 25 Watts

V = 12.6 Volts

I = ? I is the current in amperes.

Solution

25 = 12.6 * I

I = 25 / 12.6

I = 1.98 amperes

V = 12.6

I = 1.98

R = ??

V = I * R

12.6 = 1.98 * R

R = 12.6 / 1.98

R = 6.35 ohms

[tex]\\ \sf\longmapsto 5.5t=1.2t^2[/tex]

[tex]\\ \sf\longmapsto t^2=\dfrac{5.5}{1.2}[/tex]

[tex]\\ \sf\longmapsto t^2=4.58[/tex]

[tex]\\ \sf\longmapsto t=\sqrt{4.58}[/tex]

[tex]\\ \sf\longmapsto t=2.1[/tex]

Answer:

because one the moon just resets and the other is a whole other thing

Answer:

Volcanic activity acts as a window to a planet's interior. The type of volcanism and the composition of the lava give scientists a peak underneath the crust. The very presence of volcanic features tells scientists that a planet's interior is -or was - hot enough to form magma that erupted at its surface

Explanation:

hope it's helpful to you

Answer:

6 hours

Explanation:

The easiest way to calculate the density of dry air is by applying the ideal gas law. The ideal gas law expresses density as a function of temperature and pressure. Also, just like all gas laws, it is an estimate.

Answer:the imput force is applied to the axle

Explanation:

→ The charge in electron charge Q(e) is equal to the charge in coulombs Q(C) times 6.24150975⋅1018:

1C = 6.24150975⋅10¹⁸e

Q(e) = Q(C) × 6.24150975 × 10¹⁸

Q(e) = 96,500 × 6.24150975 × 10¹⁸

Q(e) = 6.02305690875 × 10²³

which is round off to

→ 6.03 × 10²³ electrons

Answer:

the blue bumper car

Explanation:

because the yellow bumper car is coming in with much more force

and according to Newton, actions and reactions are equal and opposite, so the yellow bumper car will five out 300N while the blue car will give out only 100N

then it almost because a fight between 300N vs 100N

and obviously, the 300N will win and the 100N will be pushed back

Answer:

B. contains substance s that are not mixed in a specific ratio

Explanation:

the proportion of constituents in a mixture can vary

Answer:

a molecule is an electrically neutral group of two or

more atoms held together by chemical bonds

Explanation:

Answer:

It can be two or more of the same elements combined together.

It can be one element by itself.

Explanation:

Answer:

the answer is option c

Explanation:

if we keep materials in unlabelled containers we can mix them up and use 2 dangerous acids to make an explosion

Answer:

6kg m/s--------------------------

Answer:

These layers are the troposphere, the stratosphere, the mesosphere and the thermosphere.

A further region, beginning about 500 km above the Earth's surface, is called the exosphere.

Explanation:

Hope this helps you. Have a nice day. Please mark as brainliest. It helps a lot.^_^

Answer:

a = 5m/s^2

Explanation:

Vi=0 m/s

ΔY=10m

Δt=2s

find acceleration

With the givens and the acceleration being the only one missing, we can safely use the Δy = Vi Δt + 1/2 a (Δt)^2 formula

Plug it in and we get:

10 = 0 x 2 + 1/2 a (2)^2

10 = a2

10/2 = a 2/2

a = 5 m/s^2

I hope this helps :)

This question involves the concepts of Pythagora's Theorem and derivatives.

The plane's distance is increasing at a rate of "105.6 ft/" (OR) "72 mph".

First, we will write an expression for the distance between the person and the plane in terms of time. For that purpose, we will use Pythagora's Theorem. Here, the altitude will act as perpendicular, the horizontal distance on the ground will be the base, and the straight line distance between the plane and the person will be the hypotenuse.

[tex]Hyp^2 = Base^2+Perp^2\\s^2 = (vt)^2+(32000\ ft)^2\\s=\sqrt{(vt)^2+(32000)^2}[/tex]

where,

s = plane's distance from the person

v = horizontal speedof the plane = [tex](120\ mph)(\frac{1.47\ ft/s}{1\ mph})[/tex] = 176 ft/s

t = time

Therefore,

[tex]s=\sqrt{(176t)^2+(32000)^2}[/tex]

Taking the derivative with respect to time:

[tex]\\\\\frac{ds}{dt} = \frac{1}{2}\frac{(2t)(176)^2}{\sqrt{(176t)^2+(32000)^2}}\\\\\frac{ds}{dt} = \frac{61952\ t}{2s}[/tex]

where,

[tex]\frac{ds}{dt}[/tex] = rate at which plane's distance is increasing from the person = ?

s = distance = [tex]\sqrt{(24000\ ft)^2+(32000\ ft)^2} = 40000\ ft[/tex]

t = time = [tex]\frac{horizontal\ distance}{v} = \frac{24000\ ft}{176\ ft/s} = 136.36\ s[/tex]

Substituting these values in the equation, we get:

[tex]\frac{ds}{dt}=\frac{(61952)(136.36)}{(2)(40000)}[/tex]

[tex]\frac{ds}{dt}=105.6\ ft/s = 72\ mph[/tex]

Learn more about Pythagora's Theorem here:

https://brainly.com/question/343682?referrer=searchResults

The attahced picture illustrates Pythagora's Theorem.

Answer:

the electric magnitic is not a field to have an violen not elictric because a pandmic

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