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?
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 + 1/2at²We have these known variables:
(v_0)_y = 0 m/sa_y = -9.8 m/s²Δx_y = -20 mAnd 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 secThe 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/sWe 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 mThe rock lands 40.8 m from the base of the cliff.
. A motorist is speeding along at 33m/s when he sees a squirrel on the road 200 meters in
front of him. He tries to stop, but it takes 12 seconds for his car to stop
(a) What is the acceleration of the car? (assume acceleration was constant)
(b) Does the squirrel survive?
(c) How fast was the car moving at 100 meters?
Hello!
a)
Use the kinematic equation to solve for the acceleration:
[tex]v_{f} = v_{i} + at[/tex]
In this instance, the final velocity is 0 because he comes to a stop. We can solve for the acceleration by plugging in the given values:
0 = 33 + (12)a
0 = 33 + 12a
-33 = 12a
-33 / 12 = a --> a = -2.75 m/s²
b) Find the amount of distance necessary to stop. Use the formula:
[tex]v_{f} ^{2} = v_{i} ^{2} + 2ad[/tex]
Plug in the values:
0² = 33² + 2(-2.75 · d)
0 = 1089 - 5.5d
-1089 = -5.5d
d = 198 meters. Therefore, the squirrel would survive.
c)
Find the velocity at 100 meters by using the same formula as before:
[tex]v_{f} ^{2} = v_{i} ^{2} + 2ad[/tex]
However, in this instance, we are solving for the final velocity. Plug in the given points to solve:
vf² = 33² + 2(-2.75 · 100)
vf² = 1089 + (-550)
vf² = 539
vf = √539
vf ≈ 23.22 m/s.
Can someone help me with this question??
Answer:
3.3
Explanation:
Pick the correct word: inertia, whiplash, resistance, friction , force to fill up the blank in below question.
When hit from behind in a car crash, a passenger can suffer a neck injury from the forward and backward motion called _______.
Answer:
It is whiplash I hope this is right
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.
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
Land plants are adapted to survive on land through stomata to regulate water regulation, specialized cells, structures that collect sunlight, and water!
Answer:
stomata to regulate water
specialized cells
Explanation:
Land plants are able to successfully adapt to staying on land through the use of stomata to regulate water loss and through the development of specialized cells that give support to grow erect.
Water regulation is important for the survival of plants on land, otherwise, they may face desiccation as a result of the heat from the sun. The stomata is a structure found on the leaves of land plants that open and close to regulate the amount of water lost to the environment through evapotranspiration. When there is adequate water and the plant can afford to lose some water, the stomata open, otherwise, the stomata close.
Support is also important for land plant's survival and the development of specialized cells in the form of sclerenchyma cells take care of this. The fibers and sclerids are two types of sclerenchyma cells that primarily function to support the land plants.
A 0.05 kg ball is attached to the end of a 0.5 m long string. The ball is spun around a circle with a period of 0.20 s. What is the tension force in the string?
The ball spins once around the circle in 0.20 s, meaning it travels a distance equal to its circumference in that time, giving it a linear speed of
v = (2π (0.5 m)) / (0.20 s) = 5π m/s ≈ 15.708 m/s
Use this compute the magnitude of the centripetal acceleration a :
a = v²/ (0.5 m) = 50π² m/s² ≈ 493.48 m/s²
Use Newton's second law to compute the mangitude of the tension F in the string:
F = (0.05 kg) a = 5/2 π² N ≈ 24.674 N ≈ 25 N
how did Albert Einstein come up with 3 = mc square pls help
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!?
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.
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 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?
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.
Four quartz samples of equal size and shape were placed in a stream. Which of the four quartz samples below has most likely been transported farthest in the stream?
I've attached the complete question.
Answer:
Option D
Explanation:
From the quartz images attached, we can see they now have different shapes, level of roughness and irregularity. However, the one that will have transported farthest will be option D which is the one that looks circular and has undergone the most abrasion from its body surface and size so far . This is because abrasion is a type of weathering were rocks and sediments wear out their surfaces by grinding out against each other.
The only option that looks to have undergone the most abrasion which means has transported the farthest is the sample in option D
A murder victim is found slumped over his desk in his office. The bullet that killed him is found lodged in his chair. Investigators find footprints in the carpet and gather traces of silica used to make concrete from the footprints. Their prime suspect is a construction supervisor who recently had an argument with the victim. The suspect's construction firm regularly uses a brand of concrete with high concentrations of silica. On the victim's desk is a threatening letter from the suspect regarding a disagreement between them. The suspect's fingerprints are found on the letter. Which of these pieces of evidence is showing a class characteristic?
A. The fingerprints on the letter belonging to the suspect
B. The silica in the carpet being like the concrete that the suspect's company uses
C. The victim being killed with his own gun
D. The suspect being angry enough with the victim to threaten him
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.
Answer:
decrease by a factor of 2
An object at rest will stay at rest until an external force acts on it. What was the external force that acted on the night once the hoop was removed?
Explanation:
The first law states that a body at rest will stay at rest until a net external force acts upon it and that a body in motion will remain in motion at a constant velocity until acted on by a net external force.Friction is the force between an object in motion and the surface on which it moves. There was a net external force on the night because of change in momentum as the hoop was removed.
A balloon drifts 14 km at an angle of 30º to the ground. What is the vertical component of the balloon
Sin is the vertical component. So multiply sin 30 and 14. BOOM! You got the answer.
[tex] \sin(30) \times 14 \: = 7[/tex]
you showed me what true love is really like and made my confidence come back :) couldn't have asked for anything better!!
Answer:
lucky you cointinue
Explanation:
thxs for free points
Who was Alfred Wegener and what did he theorize?
Answer:
Who was Alfred Wegener: He was a German meteorologist and geophysicist
What did he theorize: he theorized continental drift and he also explained how all 7 continents were once together( aka Pangaea) on earth over millions of years ago.
Hope this helped a little!
what type of process occurs at constant pressure
Answer:
isobaric process
Explanation:
An isobaric process occurs at constant pressure. Since the pressure is constant, the force exerted is constant and the work done is given as PΔV.
Answer:
well for me I think it's
Explanation:
Charles law in gas laws
Why's earths magnetosphere important ?
Answer:
The Earth's magnetic field protects life on Earth, shielding it from damaging radiation and moderating our climate. So the idea that it could completely flip around, or collapse altogether, should cause us
PLEASE MARK AS BRAINLIEST ANSWER
In the data table, distance is measured in meters and time is in seconds. Calculate the man's average velocity using the
equation average velocity = total distance
Answer:
what data table?
i can help if you attach a picture of the data :)
Answer:
equation average velocity = total distance
equation average velocity = total distance
Explanation:
What does dalton theory have in common with democritus
Answer:
Democritus and Dalton has similar ideas about the atom, but Democritus based his theory more on reason than science. ... His ideas were similar to those of Democrites in that he believed that atoms were indivisible and that atoms of one substance are all alike but are different from atoms of another substance.
Explanation:
PLS MAKE ME AS BRAINLIST
Answer:
Democritus and Dalton has similar ideas about the atom, but Democritus based his theory more on reason than science. ... His ideas were similar to those of Democrites in that he believed that atoms were indivisible and that atoms of one substance are all alike but are different from atoms of another substance.
Explanation:
How did Hypatia contribute to the study of philosophy? She became a teacher at Alexandria. She improved upon the works of Plato. She was educated in both science and mathematics. She studied Euclid’s theories and proved them incorrect.
Answer:
she improved upon the works of plato
Answer: A she became a teacher at Alexandria
Explanation:
Think about a typical school day. In the space provided below, describe how each of the different forms of energy we have learned about (chemical, electrical, heat, kinetic, potential, and solar) are used during a typical school day and how each form of energy is transformed into another.
Answer:
During a typical school day all forms of eneergy is being utilised and also transfer of energy takes place from one form to another.
Explanation:
Chemical energy- A bunsen burner burning a beaker filled with water.
Heat energy- The water in the beaker absorbing the heat from the burner.
Electrical energy- Running Fans and lights in a classroom by switches.
Solar energy- Solar energy harnessed by solar panels to run the fans and lights by converting it into electrical energy.
Potential energy- A ball being held by a student at a certain height possesses energy due to gravity.
Kinetic energy- The same ball being left by the boy from a certain height produces kinetic energy
Answer:
Explanation:
Chemical energy- A bunsen burner burning a beaker filled with water.
Heat energy- The water in the beaker absorbing the heat from the burner.
Electrical energy- Running Fans and lights in a classroom by switches.
Solar energy- Solar energy harnessed by solar panels to run the fans and lights by converting it into electrical energy.
Potential energy- A ball being held by a student at a certain height possesses energy due to gravity.
Kinetic energy- The same ball being left by the boy from a certain height produces kinetic energy
Which visible quality of smoke shows that it contains a
lot of gas influencing the other particles?
O The shade of the color is different in different places.
O Smoke usually has an unpleasant smell.
O Smoke rises out of very hot substances.
O The shape of the smoke changes very easily.
Answer:
C: Smoke rises out of very hot substances
Explanation:
Edge
Answer:
It's D.
Explanation:
What does the Nucleolus do?
A) Makes ribosomes
B) Controls the nucleus
C) Controls the cell
D) Creates cytoplasm and lipids
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.
Why do the north poles of these two magnets repel each other? A. The magnetic field that forms between the two north poles is new and different B. Each north pole has a magnetic field that repels the magnetic field of the other. C. Each south pole has a magnetic field that repels the magnetic field of the other D. South poles repel each other, and north poles attract each other.
The statement fourth "The magnetic field lines go in directions that cannot combine to form a magnetic field between the two north poles" is the correct option (B) is correct.
What is a magnetic field?The magnetic field is defined as the field the magnetic materials generate or when an electric charge moves in a field region that generates the magnetic field.
The magnetic impact on electric charges, electric currents, and magnets is described by a magnetic field, which is a vector field. A force opposite to the sword's own motion and also the magnetic force acts on it while the charge is traveling through a magnetic field.
Thus, the statement fourth "The magnetic field lines go in directions that cannot combine to form a magnetic field between the two north poles" is the correct option (B) is correct.
Learn more about the magnetic field here:
brainly.com/question/14848188
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An object of mass m is traveling in a circle with centripetal force f c. If the velocity of the object is v, what is the radius of the circle?
Answer:
r = mv^2/ Fc
Explanation:
Got it right
Un corp de masa m=5 kg se afla pe o suprafata orizontala pe care se poate deplasa cu frecare (µ = 0,02). Calculati forta de frecare.
Răspuns:
0,98 N
Explicaţie:
Dat fiind:
µ = Coeficientul de frecare = 0,02
Masa (m) = 5 kg
Folosind relația:
Forța de frecare (F) = µ * N
N = reacție normală = masă * accelerație datorată gravitației
Prin urmare,
F = u * m * g
g = 9,8 m / s²
F = 0,02 * 5 kg * 9,8 m / s²
F = 0,98 kgm / s²
F = 0,98N
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
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.
It took a bulldozer 62,000 J of work to move a rock 30 m. It took 5 minutes. How much force did the bulldozer have to apply?
A- 2066.6 N
B- 413.33 N
C- 12,400 N
D- 10,333.33 N
Answer:
A (2066,6 N)
Explanation:
Use the Work formula
62.000J = F . 30
62.000/30 = 2066,6 N
The amout of time it took to move the rock doesn´t matter at all.
It is called a distraction variable, We don´t need it to solve the problem it is there just to confuse.