A man is standing on the edge of a 20.0 m high cliff. He throws a rock horizontally with an initial velocity of 10.0 m/s. How long does it take to reach the ground? How far does the rock land from the base of the cliff?

Answers

Answer 1

Answer:

t = 4.08 s

R = 40.8 m

Explanation:

The question is asking us to solve for the time of flight and the range of the rock.

Let's start by finding the total time it takes for the rock to land on the ground. We can use this constant acceleration kinematic equation to solve for the displacement in the y-direction:

Δx = v_0 t + 1/2at²

We have these known variables:

(v_0)_y = 0 m/sa_y = -9.8 m/s²Δx_y = -20 m

And we are trying to solve for t (time). Therefore, we can plug these values into the equation and solve for t.

-20 = 0t + 1/2(-9.8)t² -20 = 1/2(-9.8)t²-20 = -4.9t²t = 4.08 sec

The time it takes for the rock to reach the ground is 4.08 seconds.

Now we can use this time in order to solve for the displacement in the x-direction. We will be using the same equation, but this time it will be in terms of the x-direction.

List out known variables:

v_0 = 10 m/st = 4.08 sa_x = 0 m/s

We are trying to solve for:

Δx_x = ?

By using the same equation, we can plug these known values into it and solve for Δx.

Δx = 10 * 4.08 + 1/2(0)(4.08)² Δx = 10 * 4.08Δx = 40.8 m

The rock lands 40.8 m from the base of the cliff.


Related Questions

Explain how the shape of a river's stream bed can affect the river's speed and its power to cause erosion.

Answers

The shape of a river's stream bed affects the speed and eroding power of a river by influencing the amount of friction between the water flowing through the river and the stream bed below. Friction is the force that opposes the motion of one surface as it moves across another surface. In a river, there is friction between the flowing water and the stream bed beneath it. Where a river is deep, less water comes into contact with the stream bed, so there is less friction. The reduced friction means there is less opposition to the water's motion, so the river flows at a greater speed and has more kinetic energy for erosion. On the other hand, where a river is shallow, more water comes into contact with the stream bed, so there is more friction. The increased friction means there is more opposition to the water's motion, so the river flows at a lesser speed and has less kinetic energy for erosion. Also, the roughness of a stream bed covered with boulders and other obstacles causes the water to flow through the river in a turbulent fashion. This could cause the river to move slower in some cases or erode more in other cases.

Answer:

Possiable answer by edge:

The shape of a river’s stream bed affects the speed and eroding power of a river by influencing the amount of friction between the water flowing through the river and the stream bed below. Friction is the force that opposes the motion of one surface as it moves across another surface. In a river, there is friction between the flowing water and the stream bed beneath it. Where a river is deep, less water comes into contact with the stream bed, so there is less friction. The reduced friction means there is less opposition to the water’s motion, so the river flows at a greater speed and has more kinetic energy for erosion. On the other hand, where a river is shallow, more water comes into contact with the stream bed, so there is more friction. The increased friction means there is more opposition to the water’s motion, so the river flows at a lesser speed and has less kinetic energy for erosion. Also, the roughness of a stream bed covered with boulders and other obstacles causes the water to flow through the river in a turbulent fashion. This could cause the river to move slower in some cases or erode more in other cases.

Explanation:

summary of answer:

influencing the amount of friction between the water flowing through the river and the stream bed below.

SAT QUESTION // A capacitor is connected to a variable power supply with potential V. Determine the effect on the charge stored on the capacitor if the potential of the power supply is cut in half.

Answers

Answer:

decrease by a factor of 2

A roller coaster car has 600,00 J of Kinetic energy as it approaches the station to stop. The roller coaster comes to a complete stop. How much work did the brakes do in stopping the car?

Answers

Answer:

Work Done by the Brakes = - 60000 J

Negative sign indicates the opposite direction of force and displacement.

Explanation:

Assuming that frictional effects are negligible, we can say that all the work done by the brakes is used to stop the car. We can apply law of conservation of energy to this situation as follows:

Work Done by the Brakes = Change in Kinetic Energy

Work Done by the Brakes = Final Kinetic Energy - Initial Kinetic Energy

Final Kinetic Energy of the roller coaster will be 0. Because, the roller coaster will stop finally and its velocity will become zero.

Work Done by the Brakes = 0 J - 60000 J

Work Done by the Brakes = - 60000 J

Negative sign indicates the opposite direction of force and displacement.

Which best describes reflection and refraction?

In both reflection and refraction, rays pass through a boundary.
In both reflection and refraction, rays bounce off a boundary.
In reflection, rays bounce off a boundary, and in refraction, rays pass through a boundary.
In refraction, rays bounce off a boundary, and in reflection, rays pass through a boundary.

Answers

Answer:

The correct answer is the third option

Explanation:

To reflect means to bounce off. When an incoming ray (called incident ray) gets to a boundary and bounces off the boundary, that is referred to as reflection. However, when an incident ray passes through the boundary and it causes a change in the direction of propagation of the wave, that is referred to as refraction. Thus, the correct option, as explained above, is; In reflection, rays bounce off a boundary, and in refraction, rays pass through a boundary.

Answer:

c

Explanation:

on edge 2020

Which of the following is the most important factor in determining an element’s place in the periodic table?
A. Number of protons
B. Number of neutrons
C. Atomic Charge
D. Atomic Density

Answers

A give brainliest answer plz
It’s A Bc I took the test

A college student has decided to become a doctor and specialize in pulmonology. What is her next step, after completing an undergraduate degree?

residency

internship

specialized training

medical school

Answers

Medical school. Hope this helped

Answer:

D) Medical School

Explanation:

Edge 2021

HELP ASAPP!!!! WILL GIVE BRAINLIEST!
Describe the chemical structure of a cell membrane

Answers

Main components are lipids, proteins, and carbohydrates

Answer:

The plasma membrane is composed of a bilayer of phospholipids, with their hydrophobic, fatty acid tails in contact with each other. ... Carbohydrates are attached to some of the proteins and lipids on the outward-facing surface of the membrane. These form complexes that function to identify the cell to other cells.

Explanation:

Hope it answered you plz mark as Brainlist

how did Albert Einstein come up with 3 = mc square pls help

Answers

Answer: He came up with this by using theories like  the photoelectric effect, the second offered experimental proof of the existence of atoms, and the third introduced the theory of special relativity.

Explanation: He was explaing the realationship between energy and mass.

Me: Hope this helps!!! May I have brainlist!?

Pls help me with my work

Answers

I think it’s the first diagram

An 80kg sled rider starts sledding down a 100m hill from rest. If her final velocity is 15m/s, what is he acceleration down the hill? What is the force needed for that kind of acceleration

Answers

Given :

An 80kg sled rider starts sledding down a 100m hill from rest. If her final velocity is 15m/s.

To Find :

The acceleration down the hill.

The force needed for that kind of acceleration.

Solution :

By equation of motion :

[tex]v^2 -u^2 = 2as\\\\a = \dfrac{v^2-u^2}{2s}\\\\a = \dfrac{15^2 -0^2}{2\times 100}\\\\a = 1.125\ m/s^2[/tex]

Force required is, F = ma

F = 80×1.125 N

F = 90 N

Hence, this is the required solution.

Which of the following is an example of velocity?
O a. 2 m/s
O b. 25 N
O c. 55 miles per hour South
O d. 2m/s2 west

Answers

Answer:

C

Explanation:

b is 55 miles per hour south  or 55mph[South]

the important part to understand is that velocity is a vector meaning it also has to have a direction, in this case south. That is why a (2m/s) is not a velocity, however 2m/s is a speed.

If you push an 5 N object 2 m and then push a 10 N object 2 m. Which is TRUE?
You do the same amount of work.
You do more work when you move the 10 N object.
You are more powerful when you move the 5 N object
O You use the same amount of force.

Answers

Answer:

Explanation:

You don't do the same amount of work. The work formula is F*d = W

W = work

F = force

d = the distance moved.

So you do more work when you move the 10N object because the Force (F) has doubled.

Which of the following BEST describes Jupiter's seasons?
O A.
There are no significant seasonal changes.
B.
The seasons are much like Earth's.
OC.
The seasons are much shorter than Earth's.
OD. The seasons are much longer than Earth's.


Answers

Answer:

Jupiter does not have changing seasons like the Earth, but instead is believed to have a constantly stormy atmosphere. This is partly due to its tilt, which is only 3 degrees. The planet has a very turbulent atmosphere and is believed to have a lot of long-term storms.

So the answer is  A : There are no significant seasonal changes.

Explanation:

What is the KE of a 6 kg mass at 4 m/s?

Answers

the equation for a kinetic energy is Ke = 1/2mv^2, and after plugging the given you have 1/2(6)(4^2) which is 48

The KE of a 6 kg mass at 4 m/s will be 48 J. The kinetic energy is obtained, found as the product of mass and the square of the velocity.

What is Kinetic energy?

The energy possessed by the body by the virtue of motion is known as the Kinetic energy. It is found as the product of mass and the square of the velocity.

The given data in the problem is;

The mass is, m=6 kg

The velocity is,v= 4 m/s

The kinetic energy is found as;

[tex]\rm KE = \frac{1}{2}mv^2 \\\\\ \rm KE = \frac{1}{2}6 (4) ^2\\\\\ KE= 48 \ J[/tex]

Hence, the KE of a 6 kg mass at 4 m/s will be 48 J.

To learn more about the kinetic energy, refer to the link;

https://brainly.com/question/12669551

#SPJ2

the rubber covering over a wire acts as a / an ?​

Answers

Answer:

Most electrical wire is covered in a rubber or plastic coating called insulation. The purpose of insulation covering the metal part of an electrical wire is to prevent accidental contact with other conductors of electricity, which might result in an unintentional electric current through those other conductors.

Explanation:

Help!!

Which is the most common source of ocean oil pollution?
A.oil spills
B.street runoff
C.offshore drilling
D.ship repairs

Answers

Answer:

Oil Spills.

Explanation:

Answer:

C

Explanation:

What does the Nucleolus do?
A) Makes ribosomes
B) Controls the nucleus
C) Controls the cell
D) Creates cytoplasm and lipids

Answers

Answer:

C

Explanation:

Answer:

A) Makes ribosomes

Explanation:

The nucleolus assembles the ribosomes of a cell, which are then sent to the cytoplasm to be used.

If a Ferrari, with an initial velocity of 10 m/s, accelerates at a rate of 5 m/s2 for 3 seconds, what will its final velocity be?

Answers

Answer:

25 m/s

Explanation:

Formula of acceleration is:

[tex]a=\frac{v-u}{t} \\[/tex]

where,

v is the final velocity

u is the initial velocity

a is the acceleration and

t is the time

so plugging in the values we get,

[tex]a=\frac{v-u}{t} \\\\5=\frac{v-10}{3} \\\\15=v-10\\15+10=v\\v=25\ m/s\\[/tex]

what is newton's third law of motion

Answers

Every action has an equal but opposite reaction

Newton's Third Law of Motion states "To every action, there is an equal and opposite reaction; action and reaction forces act on different bodies".

for a given force, if the mass of the object is doubled, its acceleration becomes ??

Answers

Force = Mass . Accelaration

f=ma

force is directly proportional to mass and accelaration

therefore when mass of the object is doubled, the accelaration would be halved

since

a=f/m

When a piece of iron or mass 78 gm is put in a graduated cylinder containing 100 cm cube of water the reading of the cylinder become 110cm cube
Calculate the density of iron.

Answers

Answer:

Ro = 7.8 [g/cm³]

Explanation:

According to the principle of Archimedes, the volume of a body immersed in a liquid is equal to the volume displaced by water. That is, in this problem The displacement volume is equal to the new volume minus the original volume.

[tex]V_{n}=110[cm^{3} ]\\V_{o}=100[cm^{3} ]\\V_{d}=110-100 = 10 [cm^{3} ][/tex]

We now know that density is defined as the relationship between mass and volume.

[tex]Ro = m/V_{d}[/tex]

where:

Ro = density [g/cm³]

m = mass = 78 [g]

Vd = displacement volume [cm³]

[tex]Ro = 78/10\\Ro = 7.8 [g/cm^{3} ][/tex]

A cyclist travels 100 kilometers in 4 hours. What is the cyclist speed?​

Answers

Answer:

100x4=400 kilometers

Explanation:

: )

Answer:

100÷4=25

Explanation:

you would devide

A football tube in the form of a sphere is inflated so that it radius increases in the ratio 4:3 . Find the ratio in which the volume is increased. ​

Answers

Answer:

The volume is increased in a ratio of 64/27

Explanation:

The Volume of a Sphere

The volume of a sphere of radius r is given by:

[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3[/tex]

If the radius was changed to r', the new volume would be:

[tex]\displaystyle V'=\frac{4}{3}\cdot \pi\cdot r'^3[/tex]

Dividing the latter equation by the first one:

[tex]\displaystyle \frac{V'}{V}=\frac{\frac{4}{3}\cdot \pi\cdot r'^3}{\frac{4}{3}\cdot \pi\cdot r^3}[/tex]

Simplifying:

[tex]\displaystyle \frac{V'}{V}=\frac{r'^3}{r^3}[/tex]

Or, equivalently:

[tex]\displaystyle \frac{V'}{V}=\left(\frac{r'}{r}\right)^3[/tex]

Since r':r = 4:3, thus:

[tex]\displaystyle \frac{V'}{V}=\left(\frac{4}{3}\right)^3[/tex]

[tex]\displaystyle \frac{V'}{V}=\frac{4^3}{3^3}[/tex]

[tex]\displaystyle \frac{V'}{V}=\frac{64}{27}[/tex]

The volume is increased in a ratio of 64/27

Anyone....................​

Answers

Answer:

h₁ = 18 [cm]

Explanation:

This problem can be solved by applying the principles of the static pressure of a liquid column. The key to the solution is to know that the pressure on the horizontal line should be equal for both liquids, this must be met regardless of their density.

[tex]P_{2}=P_{1}\\[/tex]

where:

P₂ = Pressure exerted by the liquid 2 in the given point L₂

P₁ = Pressure exerted by the liquid 2 in the given point L₁

Now we can calculate the pressure in each point using the following expression:

[tex]P_{1}=Ro_{1}*g*h_{1}\\P_{2}=Ro_{2}*g*h_{2}[/tex]

Where:

Ro₁ = density of the liquid 1 = 0.8 [g/cm³]

Ro₂ = density of the liquid 2 = 1.8 [g/cm³]

g = gravity acceleration = 9.81 [m/s²]

h₁ = column of the liquid 1 [m]

h₂ = column of the liquid 2, = 8 [cm] = 0.08 [m]

But first we must convert the units from grams per cubic centimeter to kilograms per cubic meter.

[tex]0.8[\frac{g}{cm^{3}}]*[\frac{1kg}{1000g} ]*[\frac{100^{3}cm^{3} }{1m^{3} } ]=800[kg/m^{3} ]\\1.8[\frac{g}{cm^{3}}]*[\frac{1kg}{1000g} ]*[\frac{100^{3}cm^{3} }{1m^{3} } ]=1800[kg/m^{3} ][/tex]

Now replacing in the first equation:

[tex]800*9.81*h_{1}=1800*9.81*0.08\\h_{1}=\frac{1800}{800} *0.08\\h_{1}=0.18 [m] = 18 [cm][/tex]

Answer:

[tex]h_1 = 18 \: cm[/tex]

Explanation:

See image for explanation

I hope my working is correct.

A balloon drifts 14 km at an angle of 30º to the ground. What is the vertical component of the balloon

Answers

Sin is the vertical component. So multiply sin 30 and 14. BOOM! You got the answer.

[tex] \sin(30) \times 14 \: = 7[/tex]

what is measurnment​

Answers

Answer:

measurement is the comparison of unknown physical physical quantity with know standard quantity of the same kind .

To measure something is to give a number to some property of the thing

Solve the following question and select the final answer:
The momentum of a bullet of mass 20kg fired from a gun is 10 kg m/s. The kinetic energy of this bullet in Kj will be:
a)5
b)1.5
c)2.5
d)25

Answers

Answer: 2.5

Explanation:

The mass of bullet = 20kg

The momentum of the bullet = 10kg m/s

The kinetic energy of this bullet in Kj will be calculated as:

= p² / 2m

= 10² /(2 × 20)

= (10 × 10) /(2 × 20)

= 100/40

= 2.5

Therefore, the correct option is C.

need ASAP WILL MARK BRANLIEST

Answers

Answer:

pls refer to attachments

A wheelchair ramp is 5.2 m long and 0.8 m high. Calculate the ramp’s mechanical advantage

Answers

Answer:

5

Explanation:

62

A student presses her palm by her thumb with a force of 75 N . What would be the pressure under her thumb having contact area is 1.5 cm2

Answers

Answer:

Pressure = 50 N/cm²

Explanation:

Given:

Force = 75 N

Area = 1.5 cm²

Find:

Pressure

Computation:

Pressure = Force / Area

Pressure = 75 / 1.5

Pressure = 50 N/cm²

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