6. You are holding a rock with a mass of 0.30 kg. You let the rock drop from your hand. It hits the ground 0.75
seconds later. How fast was the rock moving right before it hit the ground? For credit, show work in detail.

Answers

Answer 1

Answer:

v = 14.7m/s

Explanation:

When the rock was at the top of cliff it had only Potential Energy and no Kinetic Energy but soon as the rock hit the ground all the Potential Energy converted into Kinetic Energy so by the Law of Conservation of Energy

[tex]Potential\ Energy = Kinetic\ Energy\\mgh=\frac{1}{2}mv^2\\\\v^2=\frac{2mgh}{m} \\\\v^2=2gh[/tex]

because all of that potential energy got converted into kinetic energy so we use the following formula as we need to calculate the velocity (v)

[tex]Potential\ Energy = Kinetic\ Energy\\mgh=\frac{1}{2}mv^2\\\\v^2=\frac{2mgh}{m} \\\\v^2=2gh[/tex]

here we know  [tex]g = 9.8m/s^2[/tex] because the rock was under free fall motion so it had acceleration of 9.8 but we do not the height which is h but we do know the formula:

[tex]Velocity=\frac{Displacement}{Time}[/tex]

the height h is the displacement so we replace height with the following:

[tex]Velocity=\frac{Displacement}{Time}\\\\Displacement=Velocity*Time\\h=vt[/tex]

now, insert h = vt in the above equation

[tex]v^2=2gh\\\\v^2=2g(vt)\\v^2=2vgt\\\\\frac{v^2}{v} =2gt\\\\v=2gt\\v=2(9.8)(0.75)\\v=14.7m/s[/tex]


Related Questions

You apply a 325 N force to a heavy crate with a rope that makes a 29.0° angle with the horizontal, if you pull the crate a distance of 5.37 m, how much work was done by you?

Answers

Answer:

W = 1526.43 J

Explanation:

Given that,

Force acting on a heavy crate, F = 325 N

The rope will make 29.0° angle with the horizontal

The distance covered by the crate, d = 5.37 m

We need to find the work done by the crate. The work done by an object is given by :

[tex]W=Fd\cos\theta\\\\=325 \times 5.37\times \cos29\\\\=1526.43\ J[/tex]

So, the required work done is 1526.43 J.

A bike is traveling at a speed of 15 m/s. The mass of the bike is 30 kg. What is the kinetic
energy of the bike?

Answers

Answer:

3375 J

Explanation:

The kinetic energy of an object can be found by using the formula

[tex]k = \frac{1}{2} m {v}^{2} \\ [/tex]

m is the mass

v is the velocity

From the question we have

[tex]k = \frac{1}{2} \times 30 \times {15}^{2} \\ = 15 \times {15}^{2} \\ = {15}^{3} \: \: \: \: \: \: \: \: \: \: [/tex]

We have the final answer as

3375 J

Hope this helps you

The ______________ is a very strong north westerly air current encircling the Earth causing the cold fronts to come down into the United States during the winter. *
10 points
sea breeze
land breeze
climate
weather
ocean current
conduction
Gulf Stream
Jet Stream
hurricane
wind*

Answers

Answer: it's wind

Explanation:

It’s wind
Good luck
God bless you

Describe how could you use an electromagnete to sort a mixture of iron and copper pieces into two seprate piles of iron and copper

Answers

Answer:

Electromagnetic cranes are used to separate copper from iron in a scrap yard. The current is switched on to energies the electromagnet and pick up the iron pieces from the scrap. Then these iron pieces are moved to another position, the electromagnet in switched off and the iron pieces are released.

Explanation:

Activity that is equivalent to brisk walking in intensity is considered to be _______________ physical activity. *

vigorous
light
moderate

Answers

Answer:

moderate

Explanation:

because light would be walking casually while vigorous would be sprinting or something like that

What ocean features occur along areas of volcanic activity in the ocean floor and release high pressure, extremely hot water and chemicals?
Trenches
Mid-ocean ridges
Hydrothermal vents
Continental shelfs

Answers

Answer:

Hydrothermal vents

Explanation:

A hydrothermal vent is found along with areas of volcanic activity in the ocean floor which discharges geothermally heated water. Tectonic plates in such areas move apart at spreading centers and hotspots to form hydrothermal vent.

A hydrothermal vent ejects hot and often toxic, fluids and gases into the surrounding seawater when seawater meets magma.

Hence, the correct answer is "Hydrothermal vents".

When illuminated with monochromatic light, a double slit produces a pattern that is a combination of single-slit diffraction and double-slit interference. This can be easily seen if the separation between the slits and the size of slits are related by simple fractions. Find the ratio of the width of the slits to the separation between them, if the first minimum of the single slit pattern falls on the fifth maximum of the double slit pattern.

Answers

Answer:

The ratio is  [tex]k:d = 1 : 5[/tex]

Explanation:

From the question we are told that

   The first minimum of the single slit pattern falls on the fifth maximum of the double slit pattern.

Generally the condition for constructive interference for as single slit is  

     [tex]ksin(\theta) = n\lambda[/tex]

Here  k is the width of the slit  and n is the order of the fringe and for single slit n =  1 (cause we are considering the first maxima)

Generally the condition for constructive interference for as double slit is    

        [tex]dsin\theta = m\lambda[/tex]

Here  d is the separation between the  slit  and m is the order of the fringe and for double slit  m  =  5  (cause we are considering the first maxima)

=>     [tex]dsin\theta = 5\lambda[/tex]

So

       [tex]\frac{ksin(\theta)}{dsin(\theta)} = \frac{\lambda}{5\lambda}[/tex]

=>    [tex]\frac{k }{d} = \frac{1}{5}[/tex]

So  

      [tex]k:d = 1 : 5[/tex]

Kiran's mother placed a candle in the bowl as shown and lit it . A little while later , kiran opened a bottle of pepsi and poured it quickly into the bowl .What will happen ?

Answers

Answer:

The candle stick flame will burn brighter.

Explanation:

I majored in Physics.

What is the name of a process when two parents is needed to create offspring

Btw I feel like I won't use Brainly anymore

Answers

Answer:

Sexual reproduction

Explanation:

Its what its called hope it helps

Answer:

i think its called allogamy

Explanation:

unicellular

organism are

Answers

Explanation:

Its organism are one cell I think

A ball is thrown straight off a 150 meter high roof at 20 m/s.
How long does it take for the ball to hit the ground?
What was the ball's final downward velocity?
How far did the ball travel horizontally?
What was the ball's displacement?

Answers

Answer:

I'll try and find the answer for you:)

Explanation:

I can't promise you I will though

What is the total force of an object which has a mass of 150kg and is accelerating at 2m/s/s?

Answers

Answer:

[tex]\boxed {\boxed {\sf 300 \ Newtons }}[/tex]

Explanation:

Force can be found by multiplying the mass by the acceleration.

[tex]F=ma[/tex]

The mass is 150 kilograms and the acceleration is 2 meters per second per second, or 2 meters per square second.

[tex]m= 150 \ kg \\a= 2 \ m/s^2[/tex]

Substitute the values into the formula.

[tex]F= 150 \ kg * 2 \ m/s^2[/tex]

Multiply.

[tex]F= 300 \ kg*m/s^2[/tex]

We know that 1 kilogram meter per square second is equal to 1 Newton. Therefore our answer of 300 kg*m/s² is equal to 300 N

[tex]F= 300 \ N[/tex]

The force of the object is 300 Newtons.

what mass of lead has the same volume as 1600 of alcohol ( density of lead =11300kg\m³ and density of alcohol=790kg\m³)​

Answers

The mass of lead = 22,939 kg

Further explanation

Given

mass alcohol=1600 kg

The density of lead =11300kg\m³ and density of alcohol=790kg\m³

Required

mass of lead

Solution

volume of alcohol

[tex]\tt V=\dfrac{mass}{\rho}\\\\V=\dfrac{1600}{790}\\\\V=2.03~m^3[/tex]

the volume of lead=volume of alcohol=2.03 m, so the mass of lead :

[tex]\tt m=\rho\times V\\\\m=11300\times 2.03\\\\m=22,939~kg[/tex]

How can you warm up for baseball?

Answers

stretch!! maybe do a few laps!!

A cyclist travels at 7 m/s and has a mass of 75 kg. Calculate the kinetic energy of the
cyclist.
3,675 )
262.5
1,837.5)
525 )

Answers

Answer:

1837.5 J

Explanation:

The kinetic energy of an object can be found by using the formula

[tex]k = \frac{1}{2} m {v}^{2} \\ [/tex]

m is the mass

v is the velocity

From the question we have

[tex]k = \frac{1}{2} \times 75 \times {7}^{2} \\ = 37.5 \times 49 \\ = 1837.5[/tex]

We have the final answer as

1837.5 J

Hope this helps you

PLEASE HELP MEEEE
marking brainliest ​

Answers

Answer:

Option C

Explanation:

Centripetal acceleration formula regarding velocity and radius is,

[tex]a_c=\frac{v^2}{r}[/tex]

now we know the centripetal acceleration is 9 and the radius is 16 so we plug these values into our formula,

[tex]a_c=\frac{v^2}{r}\\\\9=\frac{v^2}{16} \\\\144=v^2\\\\\sqrt{144}=v \\\\v=12\ m/s[/tex]

so velocity is 12 m/s

Now for the angular velocity, the formula of centripetal acceleration regarding angular velocity and radius is,

[tex]a_c=rw^2[/tex]

we know the centripetal acceleration is 9 and the radius is 16 so plug these values into the formula,

[tex]a_c=rw^2\\\\9=16w^2\\\\0.5625=w^2\\\\\sqrt{0.5625}=w \\\\0.75\ rad/s=w\\[/tex]

so angular velocity is 0.75 rad/s

Ans
2075 Set B Q.No. 90 A water reservoir fank of capacity
is situated at a height of 20 m from the water level. W
be the power of an electric motor to be used to fill the
3 hours? Efficiency of motor is 70%.

Answers

Probably the last one

A ship
a sound
wave
sends
straight
to the sea bed and receves the echo
1.5 seconds later. The speed of sound in
water
How deep is the
at that place?
collin
is 1500 m/s.
Sea
sea​

Answers

Answer:

The sea bed is 1125 m deep.

Explanation:

Speed

It's the rate of change of the distance (d) traveled by an object over time (t).

The speed can be calculated by the formula:

[tex]\displaystyle v=\frac{d}{t}[/tex]

It's known the speed of sound in water is v=1500 m/s. A sound wave is sent to the sea bed and bounces back to the ship 1.5 seconds later.

That is the time the wave takes to travel twice the distance from the ship to the sea bed, thus the required distance uses half of that time or t=1.5/2 = 0.75 seconds.

Solving the equation for d:

d = v.t

d = 1500 m/s * 0.75 s

d = 1125 m

The sea bed is 1125 m deep.

Levi decides to examine the effect of fertilizer on the growth of tomato plants. He chooses four plants for his experiment and applies varying amounts of fertilizer to the three of them. He does not apply fertilizer to one plant.


Over a 15-day period, the plants receive fertilizer on Days 1, 4, 7, 10, and 13. Levi measures the height of all of his plants with a meter stick on Days 3, 6, 9, 12, and 15. He also makes sure to hold all experimental factors constant except for the fertilizer.



Which statement describes what Levi did to prepare the control group in his experiment?



Levi applied different amounts of fertilizer to three of his plants.

Levi did not apply any fertilizer to one of his plants..

Levi held all experimental factors constant except for fertilizer., ,

Levi measured his plants on five separate days.

Answers

Answer:

Levi did not apply any fertilizer to one of his plants..

Explanation:

In an experiment, there are two major groups namely: control group and experimental group. Control group is the group in an experiment that does not receive the experimental treatment i.e. the group which the independent variable is not applied to.

In this case, Levi is trying to examine the effect of fertilizer on the growth of tomato plants where he used varying amounts of fertilizer on three of the four plants he used for the experiment. The fourth plant did not receive any amount of fertilizer, which is the independent variable (variable being manipulated or changed). This means that Levi prepared the control group in his experiment by NOT APPLYING ANY FERTILIZER TO ONE OF HIS PLANTS.

Given an objects momentum and velocity which equation can be used to calculate the objects mass

Answers

hello

an objects momentum is found from
p=mv

so to find m we divide it by v which gives us
p/v=m or m=p/v

option B

have a nice day

An electric geyser consumes 2.2units of electrical energy per hour of its use. It is designed to work on 220v. What is the resistance of this device? Find the cost of energy consumed if each unit costs Rs 6.00.

Answers

Answer:

Explanation:

The resistance of this device is determined by using the formuia from Ohms Law:

V = IR

where; V = voltage

I = current

R = resistance

From the above equation:

R = V/ I ---- (1)

And

I = P/V    --- (2)

If 1 unit = 1 KWH = 3.6 × 10⁶ J

Then;

2.2 units = (3.6 × 10⁶ × 2.2)

= 7.92 × 10⁶ J

So, Energy = 7.92 × 10⁶ J

Also:

Power = energy/time

Power =  7.92 × 10⁶ J / 1 hour

Power = 7.92 × 10⁶ J / 3600 seconds

Power = 2200 Watts

From equation (2)

I = P/V

I = 2200/220

I = 10 A

Recall that:

Resistance R = V/I

Resistance R = 220/10

Resistance R = 22 ohms

SO, if 1 unit costs = Ts 6.00

Then the cost of 2.2 unit = 2.2 ( Rs  6.00)

= Rs 13.20

A force of 10N is making an angle of 300 with the horizontal. Its horizontal components will be

Answers

Answer: 5N

Explanation:

Horizontal component is the force that is applied as a result of the diagonal application of force.

here in this case,

given diagonal force =10N.

angle= 30°

horizontal component is found using trigonometry..

so,

A vector of magnitude 10 N is provided.

It is at an angle of 30° to the + x axis.

To find:

The components along the x and y axis.

Calculation:

Along x axis:

F(x) = F cos(θ)

=> F(x) = 10 × cos(30)

=> F(x) = 10 (√3/2) = 5√3N

Along y axis:

F(y) = F sin(θ)

=> F(y) = 10 sin(30°)

=> F(y) = 10 × ½

=> F(y) = 5 N.

Additional information:

1. A vector is a quantity that can be defined with both magnitude and direction.

2. Since force is a vector, we are able to break it down into components along chosen axis.

Benny wonders why when he presses his finger against a map nothing happens to the map. However if he presses a thumbtack into the map using the same force the tack will probably poke a hole in the map.

Answers

Answer: The pressure exerted on a surface by an object increases as the surface area of contact decreases.

Explanation:

Pressure measures the amount of force exerted per a given area of an object. From this definition, the surface area of the object and force applied, affects the pressure applied.

As Benny presses his finger against a map, nothing happens to the map because the force applied is affected by the increased surface area of his finger. However as he presses a thumbtack into the map using the same force the tack will probably poke a hole in the map because the small( decreased) surface area of the sharp point of the thumbtack produces a much larger pressure on the map than the area of Benny finger. I hope this helps, thanks!

what is the speed of light at 15°c

Answers

Answer:

calculation presented a speed of 125,000 miles per second (200,000 km/s).

Explanation:

In uniform circular motion, the factor that remains constant is.............

Answers

Answer:

When a body is in uniform circular motion, its speed remains constant but its velocity, angular acceleration, angular velocity changes due to change in its direction.

Describe binary fission with amoeba.​

Answers

Amoeba reproduce by the common asexual reproduction method called binary fission

What are the units for speed velocity and acceleration?

Answers

Answer: Speed and velocity are both measured using the same units. The SI unit of distance and displacement is the meter. The SI unit of time is the second. The SI unit of speed and velocity is the ratio of two — the meter per second .

Explanation: Hopefully this helps you.

Speed and velocity are both measured using the same units. The SI unit of distance and displacement is the meter. The SI unit of time is the second. The SI unit of speed and velocity is the ratio of two — the meter per second .

Explain how water waves are not purely transverse waves

Answers

Answer:

Water waves are an example of waves that involve a combination of both longitudinal and transverse motions. As a wave travels through the waver, the particles travel in clockwise circles. The radius of the circles decreases as the depth into the water increases.

Explanation:


3- Our stomachs contain hydrochloric acid (pH 1.5-3.5). Why do you suppose this
helps our bodies? How does the stomach lining avoid what happened to the milk?
4. Explain how a buffer can helps maintain a stable internal environment.
(homeostasis)

Answers

Answer:

i hardly havent got teach this sorry

QUICKLY I AM IN THE LESSON NOWWW

So I need you to write a hypothesis about finding and marking stars on "Worldwidetelescope", I dont know how to start a hypothesis and a paragraph about what I did in this project. I know what I did but someone have to help me with the hypothesis and how to start the paragraph and please make a list of everything it should include, Thank you!!

Answers

Answer:

I don't really know much about the whole stars thing, but I've written a lot of paragraphs in science

Explanation:

Remember:

A paragraph should be in CER formation: Claim (hypothesis/discovery), Evidence, and ReasoningYour reasoning should never start with I believe or I think, your reasoning and evidence are 100% fact basedThe actual hypothesis should only be 1-2 sentences and be straight to the point

Include:

for your hypothesis, keywords relating to your subject, I'm assuming  for your topic you should include things like marking, telescope, stars, etc.why you believe your hypothesis is true so use prior knowledge to justify your hypothesis
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