A projectile is shot horizontally from the edge of a cliff, 400 m above the ground. The projectile is traveling horizontally at 65 m/s the moment it leaves the cannon.

What is the initial vertical velocity of the projectile?

Determine the time taken by the projectile to hit the ground.

How far does the projectile land from the base of cliff?

Find the vertical component of the velocity just before the projectile hits the ground.

What is the magnitude of the final vector velocity the instant before it hits the ground?

What is the direction of the final vector velocity the instant before it hits the ground?

Answers

Answer 1

Answer:

a)  [tex]v_{oy}[/tex] = 0,  b)  t = 9.035 s, c) x = 587.275 m, d)  v_y = -88.54 m / s,

e) v = 109.84 m / s,  f)  θ = -53.7º

Explanation:

This exercise is a projectile launch

a) as the projectile is launched horizontally, its initial vertical velocity is zero

          [tex]v_{oy}[/tex] = 0

b) let's use the relation

          y = y₀ + v_{oy} t - ½ g t²

when reaching the ground y = 0 and the initial vertical velocity is v_{oy}=0

         0 = y₀ + 0 - ½ g t²

         t = [tex]\sqrt{ \frac{2 v_o}{g} }[/tex]

         t = [tex]\sqrt{ \frac{ 2 \ 400 }{ 9.8} }[/tex]

         t = 9.035 s

c) the horizontal distance is

         x = v₀ₓ t

         x = 65  9.035

         x = 587.275 m

d) the vertical speed when touching the ground

         v_y = [tex]v_{oy}[/tex] -gt

         v_y = 0 - 9.8 9.035

          v_y = -88.54 m / s

the negative sign indicates that the velocity is directed downwards

e) the velocity at this point

          v = [tex]\sqrt{ v_x^2 + v_y^2}[/tex]

          v = [tex]\sqrt{65^2 + 88.54^2}[/tex]

          v = 109.84 m / s

f) the direction of the velocity

let's use trigonometry

          tan θ = v_y / vₓ

          θ = tan⁻¹1 v_y / vₓ

          θ = tan⁻¹ (-88.54 / 65)

          θ = -53.7º

this angle is measured clockwise


Related Questions

Why is mineral copper often used to make electrical wires

Answers

copper is safer to use than wires made of most other conductive metals because they are resistant to heat. :)

Because copper is the second-best electrical conductor, it's cheaper and more plentiful than silver, and it's relatively easy to get it out of the ground, refine it, and form it into wires.

(If the electrical wiring in your house was all silver wire, I guess nothing would ever work, because people would keep stealing your wiring.)

what happens to the brightness of the bulb when the resistor is increased?

Answers

Answer: As the variable resistance increases its resistance, the current which flow through the lamp will decrease and therefore its brightness decreases. ... If the resistors are very large, they have no impact and the lamps will be the same brightness.

Explanation:

Answer:

The intensity or brightness of the bulb increases as more dry cell is added in the circuit.

Explanation:

Hope it helps :)

What do good electrical conductors and thermal conductors have in common?
plsssssss dont answer the answer from go.ogle or i can get kicked from my school for plagiarism :(

Answers

They both metal, both are good electrical conductors and both are good heat conductors unlike insulators. (I don’t know if that’s enough because that’s a really easy question and they both have a lot in common)

Will the sun explode in future?​

Answers

Answer:

Explanation:

The Sun won't explode. ... Eventually (in five or seven billion years time), the Sun's life will come to an end. Our star will swell up, becoming something called a “Red Giant” star. It might even get so big that it swallows the Earth whole.

On a visit to a science lab, Madison observes a blob of shiny material that is floating in the air.
The blob is not moving.
What can she conclude about the force(s) acting on the blob?

Answers

Answer:

Each force acting on the blob has another one to cancel it out

Explanation:

Answer:

well we know for sure that gravity is not affecting it because it is floating in the air.

Explanation:

Your teacher gives you samples of the following elements. Which sample is shiny but does not conduct heat and electricity well? (DOK 2)

A.
fluorine (F)

B.
silver (Ag)

C.
germanium (Ge)

D.
neon (Ne)

Answers

A. Fluorine
it does not conduct electricity and heat

Fluorine is the sample which is shiny but does not conduct heat and electricity through it. The flow of electricity requires the flow of electrons or charged particles. Thus, the correct option is A.

What are conductors?

A conductor is a substance, chemical element, or a material which allows electricity and heat to flow through it. In a conductor, the electrical charge carriers which are usually electrons or positive and negative ions, move easily from one atom to another atom when a particular amount of voltage is applied.

Fluorine is a shiny element however it does not conduct heat and electricity through it. It is the most electronegative atom and is very reactive in nature. It only gains electrons and does not lose them. And because of this property of fluorine, it restricts the movement of electrons through it and fails to conduct electricity.

Therefore, the correct option is A.

Learn more about Elements here:

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Ek = 12 x m X v2. Re-arrange to give an equation for:

a) The mass m.
b) Velocity squared v2.
c) Velocity.

Answers

Answer:

a) [tex]m = \frac{2\cdot E_{k}}{v^{2}}[/tex], b) [tex]v^{2} = \frac{2\cdot E_{k}}{m}[/tex], c) [tex]v = \sqrt{\frac{2\cdot E_{k}}{m } }[/tex]

Explanation:

a) Translational kinetic energy ([tex]E_{k}[/tex]), measured in joules, is represented by the following expression:

[tex]E_{k} = \frac{1}{2}\cdot m \cdot v^{2}[/tex] (1)

Where:

[tex]m[/tex] - Mass, measured in kilograms.

[tex]v[/tex] - Velocity, measured in meters per second.

Now we clear the mass within the formula:

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

[tex]2\cdot E_{k} = m\cdot v^{2}[/tex]

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

b) Now we clear the velocity squared:

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

c) Now we clear the velocity:

[tex]v = \sqrt{\frac{2\cdot E_{k}}{m } }[/tex]

A ball with a mass of 5 kg is accelerating at 5 m/s/s. What is the force acting on the ball?

Answers

Force is 25 N
F=ma
F=5x5
F=25 N
F=25n hope this helps you

What do all electromagnetic waves have in common?
• They can travel at the speed of light
o They has the same wavelengths.
O They travel only through matter
O They have nonmoving magnetic fields

Answers

4) They have non-moving magnetic fields.

A wave in which the particles of the medium move up and down as the wave passes through is a transverse wave or a
a longitudinal wave

Answers

Answer:

transverse waves

Explanation:

this is because the definition of transverse waves is transverse waves are waves that travel perpendicular to the direction of the wave motion

however the definition of longitudinal waves is that longitudinal waves are waves that travel parallel to the direction of the wave motion.

so you can see the parallel means it forms compressions and rarefactions

but perpendicular means the particles will move up and down to the straight horizontal line, that's how lines are perpendicular right? ,

so the answer is transverse wave

hope this helps

please mark it brainliest

ANSWER ASAP Which factor determines the amount of gas that can dissolve in ocean water? (A) the motion of the air above the ocean water (B) the temperature of the air above the ocean water (C) the motion of the ocean water currents D the temperature of the ocean water​

Answers

Answer:

The amount of each gas that can dissolve in the ocean depends on the solubility and saturation of the gas in water. Solubility refers to the amount of a dissolved gas that the water can hold under a particular set of conditions, which are usually defined as 0o C and 1 atmosphere of pressure.

Explanation:

hope this helps

Answer: the motion of the air above the ocean water

Explanation:

The number of protons plus the number of neutrons in an atom is equal to its

Answers

Answer:

Atomic Mass

Explanation:

Reading the temperature of a solution by using a thermometer is an example
of a(n)
O A. hypothesis
OB. observation
O C. inference
OD. conclusion

Answers

B. Observation

Using a thermometer to read the temperature of a solution is tantamount to the making an observation.

A laser with wavelength of 0.00005 m is aimed at a mirror with
an angle of incidence of 30°. What is the angle of reflection of
the laser?

Answers

Answer:

this is question is trying to trick you

Explanation:

it gives long words but all you need to know is just a few

the second law of reflection states that the angle of incidence equals to the angle of reflection

so if the angle of incidence = 30

then

the angle of reflection = 30

hope this helps,

please mark it brainliest

Electric Field Hockey

In this activity, you will again explore the relationship between an electric field and charged particles in the field, but this time you’ll have a gaming challenge. To begin, open Electric Field Hockey.

Directions:

On the control bar, make sure that the Puck is Positive and the Field boxes are checked. Also, make sure that the Practice option is selected.

Your aim is to score goals by manipulating the black puck (test charge) into the blue-colored bracket (goal) on the right. Think smart and place positive source charges (red) and negative source charges (blue) in such a way that the black puck moves into the goal.

Note that when you place a red, positive source charge in the hockey field, a red arrow appears on the black puck (test charge) showing the force the positive charge exerts on the puck. Similarly, when you place a blue, negative source charge in the hockey field, a blue arrow appears on the black puck (test charge) showing the force the negative charge exerts on the puck.

Question 1
Part A
Place a red charge on the hockey field and click Play. In which direction do electric field lines point? In which direction does the black puck move? What conclusion do you draw from this movement?

Part B
Click Reset and then click Clear. Now, place a blue charge in the hockey field and click Play. In which direction do electric field lines point? In which direction does the black puck move? What conclusion do you draw from this movement?

Part C
Manipulate the mass of the puck by dragging the mass bar to the right to increase the mass and to the left to decrease it. What changes do you see in the speed of the puck? Which principle works behind this change?

Part D
In the same situation, what do you observe about the relationship between the speed of the black puck and its distance from the blue charge?

Question 2
You can make the puck travel in complex ways by placing a set of charges around on the field. So, here’s your game challenge: Arrange sources charge around to propel the puck from its starting position into the goal. That’s pretty easy for a straight shot; you just put a negative charge behind the goal. But what if there are barriers along the way? This is a real test of your physical understanding, including Newton’s laws of motion and electrostatic forces. Game’s on!

Part A
On the control bar, check the Trace and Field boxes. The game has three Difficulty levels. Start with Difficulty level one and arrange source charges to get the puck into the goal. Once you’ve made a score at any level, increase the Difficulty level. Take a screen capture of two of your most difficult goals and paste them here. At least one of these should be at Difficulty level 2 or 3.
Please Answer Questions with complete sentences.

Answers

Answer:

The positive charges point away from each other

Explanation:

Why?

Arrows point away from the positive charge and toward the

negative charge.

Explanation:

Suppose that you rubbed a balloon with a sample of animal fur such as a wool sweater or even your own hair. The balloon would likely become charged and its charge would exert a strange influence upon other objects in its vicinity. If some small bits of paper were placed upon a table and the balloon were brought near and held above the paper bits, then the presence of the charged balloon might create a sufficient attraction for the paper bits to raise them off the table. This influence - known as an electric force - occurs even when the charged balloon is held some distance away from the paper bits. The electric force is a non-contact force. Any charged object can exert this force upon other objects - both charged and uncharged objects. One goal of this unit of The Physics Classroom is to understand the nature of the electric force. In this part of Lesson 1, two simple and fundamental statements will be made and explained about the nature of the electric force.

Perhaps you have heard it said so many times that it sounds like a cliché.

Opposites attract. And likes repel.

These two fundamental principles of charge interactions will be used throughout the unit to explain the vast array of static electricity phenomena. As mentioned in the previous section of Lesson 1, there are two types of electrically charged objects - those that contain more protons than electrons and are said to be positively charged and those that contain less protons than electrons and are said to be negatively charged. These two types of electrical charges - positive and negative - are said to be opposite types of charge. And consistent with our fundamental principle of charge interaction, a positively charged object will attract a negatively charged object. Oppositely charged objects will exert an attractive influence upon each other. In contrast to the attractive force between two objects with opposite charges, two objects that are of like charge will repel each other. That is, a positively charged object will exert a repulsive force upon a second positively charged object. This repulsive force will push the two objects apart. Similarly, a negatively charged object will exert a repulsive force upon a second negatively charged object. Objects with like charge repel each other.

The activity where to explore the relationships between the electricity field charged with particles and those of the hockey field

The positively change will attract to each other and will opposite to the negatively changed ones. Arrows point away from the positive charge and toward the  negative charge.

Learn more about the you will again explore the relationship.

brainly.com/question/12661264.

A 40 W lightbulb plugged into a 120V line lights up. What resistance would the lightbulb have to have?

Answers

P=40 W

U=120 V

R=?

P=U*I

I=U/R

P=U²/R

R=U²/P

R=120²/40

R= 360 Ω

An object is placed 12 cm from a convex mirror with a focal length of 5.0 cm. please help.

Answers

Explanation:

plz

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follow

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pllllllllllllllllllssssssssss help me will give brainiest if correct

Answers

Answer:

I believe it is the same as before-Electrical energy is transformed into heat and light energy.

Explanation:

Hope this helps'-'

Chemical energy (in his muscles) ===> kinetic energy ===> electrical energy ===> light energy and a little bit of heat energy

Amy has a mass of 50 kg, and she is riding a skateboard traveling 10 m/s. What is her momentum?

Answers

p=mv
=50*10
=500kg m/s

PLEASE HELP WITH THIS!

Answers

Answer: A

Explanation:

Parallel circuit. The source current is three times the current of a single bulb

Which is NOT considered as a property of electromagnetic waves: 5

- Travels at speed of 3 x 10^8 m/s
- Transverse wave
- Transfer energy /information
- Require a medium to propogate

Answers

Answer:

require a medium to propagate

Explanation:

this is because electromagnetic waves can travel through vacuum at the speed of 3.0 x 10^8 m/s

because they don't need particles to transfer energy

hope this helps

why do the planets stay in their orbit around the sun?

Answers

Answer:

The Sun's gravity constantly pulls on the planets, preventing them from leaving their orbit and the solar system. The forward motion of the planets prevents the Sun's gravity from pulling planets straight into it.

Explanation:

The weight of an object at sea level _____.

A. varies from place to place over the ocean
B. is constant at sea level elevation anywhere

Answers

Answer:

here again

Explanation:

here my answer

9. Peter drove 57 miles down the coastline in 3 hours. What was his
average speed? (6.8C)
O 171 mi/h
O 50 mi/h
O .05 mi/h
O 19 mi/h

Answers

Hi! I’m pretty sure it’s 19 mi/h I’m not completely sure but I did some calculating and that’s what I got hope this helps!

The energy the Sun gives off is caused by nuclear reactions in its core. The extreme pressure from the weight of the gases that make up the Sun raises the temperature of the core enough for the nuclear reactions to take place. Which law best describes this behavior of gases in the Sun?

Answers

Answer:

The law which describes the behavior of gases in the Sun is Gay-Lussac's Law

Explanation:

The states that the extremely high pressure of the gases in the Sun produces extremely high temperature;

Therefore, the relationship between the pressure, 'P', of the gas and the temperature, 'T', of the gas is a direct relationship, which can be expressed mathematically as follows;

P ∝ T

The law which best describes the behavior of gases in the Sun is Gay-Lussac's Law, which states that the pressure of a given volume of gas varies directly as the absolute temperature of the gas, as follows;

P = K·T

∴ P/T = K (Constant)

[tex]\therefore \dfrac{P_1}{T_1} = \dfrac{P_2}{T_2}[/tex]

This strand of evidence helped to provide a link in the evolution of whales from land mammals on 4 legs to a sea mammal with fins
A. Embryology
B Fossils
C. Natural Selection
D. DNA

Answers

Answer:

D. DNA

Explanation:

Genetics can be defined as the scientific study of hereditary in living organisms such as humans, animals and plants.

Heredity refers to the transfer of traits (specific characteristics) from the parent of a living organism to her offspring through sexual reproduction or asexual production. Some examples of hereditary traits are dimples, tongue rolling, baldness, handedness, freckles, curly hair, color blindness, height, etc.

Deoxyribonucleic acid (DNA) is a strand of evidence which helped to provide a link in the evolution of whales from land mammals on 4 legs to a sea mammal with fins.

Basically, deoxyribonucleic acid (DNA) is an organic complex-molecular structure found in all living organisms. It comprises of genes and is essentially the foundation block of all living organisms such as humans, animals and plants.

A photovoltaic cell produces electricity when the sun shines. What energy conversion is going here?

Answers

Answer:

light potential energy is converted into electrical potential energy.

Explanation:

A solar heat absorbs the light that creates pairs of electron - holes, these free charges when moving create a current, the light energy stored in the radiation is converted into electrical energy within the n-p junctions.

In summary, light potential energy is converted into electrical potential energy.

Part A
1) What happens when you add a second drip and space both the drips close together? Describe the pattern they form and explain the cause for this pattern in detail.

2)Turn off the second drip and then add a barrier with one slit. What do you observe on the right side of the wall? What do you observe on the left side of the wall? From a physics perspective, explain your observations of what is happening on both sides of the barrier.
Part B
1) On the Sound tab, investigate briefly all the phenomena you explored with water waves above and describe any similarities in your results for sound. Specifically, describe
- wave pattern as seen on the screen
- shape and amplitude of the graph
- effect of frequency on wavelength
- effect of frequency on velocity
- pattern with two sources
- wave pattern with a single-slit barrier

2) Sound and water waves obviously have many similarities, but they are not exactly the same. Describe all the differences you can think of between sound waves and water waves.
Part C
1) On the Light tab, once again investigate briefly all the phenomena you explored with water and sound above. Describe any similarities in your results for light. Specifically describe
- wave pattern as seen on the screen
- shape and amplitude of the graph
- effect of frequency on wavelength
- effect of frequency on velocity
- pattern with two sources
- wave pattern with a single-slit barrier

2) Light waves have some similarities with water and sound waves, but they are not exactly the same. Describe all the differences you can think of between light waves, sound waves, or water waves

Plz Answer All Questions. tysm.

Answers

Answer:

1) Superposition results in adding the two waves together. Constructive interference is when two waves superimpose and the resulting wave has a higher amplitude than the previous waves. Destructive interference is when two waves superimpose and cancel each other out, leading to a lower amplitude.

I'm sorry thats all I can help with

Answer:

Turn off the second drip and then add a barrier with one slit. What do you observe on the right side of the wall? What do you observe on the left side of the wall? From a physics perspective, explain your observations of what is happening on both sides of the barrier.

Explanation:

 The speed and amplitude of the waves are affected when hitting the barrier. The two waves reflect off the barrier and they travel in opposite directions.

how many molecules is in this formula 3H2O​

Answers

Answer: There are 9 molecules.

Explanation: 3H2O has 6 hydrogen atoms and 3 oxygen atoms. Heres a diagram.

HHO + HHO + HHO = 3H2O

A bicyclist steadily speeds up from rest to 11.0m/s during a 5.50s time interval. Determine all unknowns and answer the following questions. What is the magnitude of the bicyclist's acceleration? How far did the bicyclist travel during this time?

Answers

Explanation:

acceleration is 2 m/s^2

v-u/t

distance travelled is 30.25 meter

(v^2-u^2)/2a

11*11/2*2

121/4

30.25 m

The acceleration of the bicyclist is 2 m/s² and the total distance covered is 30.25 meters.

We have a bicyclist.

We have to calculate the acceleration and the total distance travelled by the bicyclist.

State the three equations of motion.

The three equations of motion are -

v = u + at

S = ut + [tex]\frac{1}{2}[/tex] a[tex]t^{2}[/tex]

v² - u² = 2aS

According to the question -

u = 0 m/s

v = 11 m/s

t = 5.5 s

Therefore -

For acceleration -

v = u + at

On solving -

11 = 0 + 5.5 a

5.5a = 11

a = 11 / 5.5 = 2 m/s²

For total distance covered -

S = ut + [tex]\frac{1}{2}[/tex] a[tex]t^{2}[/tex]

On solving -

S = 0 + 0.5 x 2 x 5.5 x 5.5 = 30.25 meters.

Hence, the acceleration of the bicyclist is 2 m/s² and the total distance covered is 30.25 meters.

To solve more questions on Kinematics, visit the link below-

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