2) A ball is thrown forward horizontally from the top of a cliff
with a velocity of 10m/s as shown in the figure below. The
height of the cliff above the ground is 4.5m. Calculate
0218
R
i for position coordinates p(x, y), prove that the path of
horizontal projectile is parabolic.
[3]
ii. the time to reach the ground
[1]
iii. the distance from the cliff of the ball on hitting the ground [1]
iv. the velocity with which the ball hits the ground
[2]
v. the direction of the ball to the horizontal just before it hits the
ground.
[1]

2) A Ball Is Thrown Forward Horizontally From The Top Of A Cliffwith A Velocity Of 10m/s As Shown In

Answers

Answer 1

(i) For position coordinates p(x, y),  the path of horizontal projectile is parabolic.

(ii)  The time to reach the ground is 0.96 s.

(iii) The distance from the cliff of the ball on hitting the ground is 9.6 m.

(iv) The velocity with which the ball hits the ground is 9.4 m/s.

(v) The direction of the ball to the horizontal just before it hits the

ground is 90 degrees.

What is projectile?

When an object is thrown at an angle from the horizontal direction, the object is said to be in projectile motion. The object which follows the projectile motion.

Given is a ball is thrown forward horizontally from the top of a cliff

with a velocity of 10m/s.  The height of the cliff above the ground is 4.5m.

(i) The equation formed by the ball is at point (x,y) given by

y =yo + Voy x t - 1/2gx²

The equation is in the form of parabola.

Thus, the ball follows parabolic path.

(ii) The time to reach the ground is

t = √2h/g

t =  √(2x 4.5)/9.81

t= 0.96 s

iii) Horizontal distance traveled

R = u x t

R = 10 x 0.96

R = 9.6 m

Thus, the distance from the cliff of the ball on hitting the ground is 9.6 m.

(iv) The velocity with which the ball hits the ground.

v = √2gh

Plug the values, we get

v = √(2 x 9.81 x 4.5)

v = 9.4 m/s

(v) The direction of the ball to the horizontal will be 90 degrees just before it hits the ground.

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Related Questions

PLEASE HELP
Identify and describe at least (3) physical science concepts to help with blackout.


Answers

Physics science in blackout involves the transmission of electrical impulses, neurotransmitter signaling and loss of coordination (body movements).

What is blackout?

The expression 'blackout' refers to the loss of memory remembers of one person due to the effects of alcohol.

During this process, a person may lose his/her ability to move due to failure in the transmission of electrical impulses and neurotransmitter signaling.

In conclusion, physics science in blackout involves the transmission of electrical impulses, neurotransmitter signaling and loss of coordination (body movements).

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Question 2 of 32
What did Ernest Rutherford's experiment of a beam of alpha particles aimed
at a sheet of gold foil lead him to conclude?

Answers

Sthbtbetbtwbetbetbtwsbt

2) A skier stands at rest and begins to ski downhill with an acceleration of 3.0 m/s² {downhill). What is
her displacement after 15.0 seconds?

Answers

Answer:

her displacement s=337.5m

Explanation:

check out the above attachment ☝️

Displacement after 15.0 seconds s= 337.5 m

What is acceleration?

The rate of change of velocity is called acceleration.

Acceleration. speed is the charge of the exchange of displacement. Acceleration is the charge of the exchange of speed. velocity is a vector quantity because it consists of each significance and direction. Acceleration is also a vector quantity as it's far just the fee of alternate of pace.

Acceleration of 3.0 m/s²

Time= 15.0 seconds

S= ut + 1/2 at²

S = 0+0.5*3*15*15

 =337.5 m

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state advantages of ultrasonic sound in determining the depth of the ocean ​

Answers

Answer:

It has greater accuracy than other nondestructive methods in determining the depth of internal flaws and the thickness of parts with parallel surfaces.

Explanation:

Hope this helps you!

How many moles of fluorine atoms are in a sample of fluorine that contains 7.45 x 1024 fluorine atoms?

Answers

12.4 moles of fluorine atoms are in a sample of fluorine that contains 7.45 x 10²⁴ fluorine atoms. Details about number of moles can be found below.

How to calculate number of moles?

The number of moles in a molecule of a substance can be calculated by dividing the number of molecules by Avogadro's number.

According to this question, a sample of fluorine that contains 7.45 x 10²⁴ fluorine atoms. The number of moles in this sample can be calculated as follows:

no of moles = 7.45 × 10²⁴ ÷ 6.02 × 10²³

no of moles = 1.24 × 10¹

no of moles = 12.4moles

Therefore, 12.4 moles of fluorine atoms are in a sample of fluorine that contains 7.45 x 10²⁴ fluorine atoms.

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The strength of a magnetic field around a wire carrying a current of 20 A is 0.004 T. What is the strength of the magnetic field if the current is changed to 40 A ?

Answers

Given the increased current, the strength of the magnetic field around the wire carrying the current increases to 0.008T

What is the strength of the magnetic field if the current is changed to 40 A ?

Given that;

First scenario

Strength of magnetic field B = 0.004TCurrent A = 20A

Second scenario

Strength of magnetic field B' = ?Current I' = 40A

First, we determine the strength of the magnetic field.

B/I = B'/I'

0.004T/20A = B'/40A

B' = ( 0.004T × 40A ) / 20A

B' = 0.16AT / 20A

B' = 0.008T

Given the increased current, the strength of the magnetic field around the wire carrying the current increases to 0.008T

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Magnification of the image is formed by a mirror is -1.25,then answer the following questions
1. Mention the position of the object on the principle access
2. What kind of mirror is used to get the image
3. Mention the characteristics of the image
4. What is the height of the image if the object size is 2 cm

Answers

Answer:

below

Explanation:

1. in front of the mirror

2. convex mirror

3.upright and diminished

4.magnification= image height÷object height

-1.25=i.h÷2

ih=-1.25×2

i.h=-2.5

Would young rocks be found near a volcano?

Answers

Answer:

Yes, young rocks typically occur around volcanoes since they are closer to the crate, thus the magma is beginning to cool down to form rocks or it has recently cooled down.

Explanation:

yes

new forms of extrusive igneous rocks will be created as lava cooling and hardening will create new and young rocks

The satellites of Jupiter, Ganymede and Europa, orbit the planet in 7.1 days and 3.5 days. About what is the ratio of the orbit period of Europa to Ganymede expressed as a simple fraction involving the numbers 1,2,3 or 4 in the numerator or denominator​

Answers

Answer:

1/2

Explanation:

Europa = 3.5 days

Ganymede = 7.1 days

E/U = 3.5 / 7.1 ~~   1/2

A proton moves in the negative x-direction through a uniform magnetic field in the negative y-direction what is the direction of the magnetic force acting on the proton?

out of the page
into the page
in the positive y-direction
in the negative y-direction

Answers

A proton travels through a constant magnetic field in the negative y-direction while moving in the negative x-direction. The proton will be subject to a magnetic pull that is directed into the page. Option B is correct.

What is the right-hand thumb rule?

Hold a current-carrying conductor in your right hand with your thumb pointing in the direction of the current then wrap your fingers around the conductor and orient them in the direction of the magnetic field lines.

A proton travels through a constant magnetic field in the negative y-direction while moving in the negative x-direction.

The proton will be subject to a magnetic pull that is directed into the page.

Hence, option B is correct.

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If an object is neutrally buoyant (does not sink or float) in fresh water, the same object placed into salt water would

Answers

If an object is neutrally buoyant (does not sink or float) in fresh water, the same object placed into salt water would float.

What is Buoyancy?

Buoyancy is the force through your fluids or total or submerged bodies. Also known as Archimedes' theorem. The fluid of the direction on the body produces a resultant force but with the direction of the weight, with the opposite direction, upwards.

In this case, we have salt water that is denser, allowing almost no objects to sink, so the buoyant force is greater that acts on the object.

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Two liquids A and B of relative densities 0.7 and 0.4 respectively are mixed with water, kl. How will the mixture. arrangement occur in a given container?

Answers

The liquid A is present lower in the container as compared to liquid B due to more weight.

How will the mixture. arrangement occur in a given container?

If two liquids A and B of relative densities 0.7 and 0.4 respectively then the lower density liquid remain at the top and higher density solution which is liquid A remains lower in the container because higher density solution has more weight.

So we can conclude that the liquid A is present lower in the container as compared to liquid B due to more weight.

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WHOEVER ANSWERS FIRST GETS BRAINLEST
Match the scenario to the term it represents.


Laura develops programs that flag suspicious network activity.

Greg calibrates electronic scales.

Tim ensures the output of a process remains in a defined range.

matching words-

communications

manufactoring

healthcare

Answers

Communications: Laura develops programs that flag suspicious network activity.

What is communication?

Communication involves the transfer of information from one person (sender) to another (recipient), especially through the use of semiotics, symbols, signs and network devices.

How to match the scenarios?Communications: Laura develops programs that flag suspicious network activity.Healthcare: Greg calibrates electronic scales.Manufacturing: Tim ensures the output of a process remains in a defined range.

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Which one of these is a compound

Answers

Answer:

  (b)  see attached

Explanation:

A compound is composed of molecules, each of which is composed of atoms of two or more different elements.

A single atom of any type is not a compound, nor is a collection of atoms of the same type.

__

The attached figure shows a molecule of HCl, hydrogen chloride. It is a compound.

What words experiences in Niels Bohrs life That led to his interest in science and the study of the atom

Answers

The words experiences in Niels Bohr's life that led to his interest in science and the study of the atom is he disliked writing essays and talented in mathematics.

What is atom?

Atom is the smallest unit of the element. Different elements have different size atoms and same element have same size atoms.

Neil Bohr loved talking, he had a disliking of writing essays. He was talented in mathematics. He then attracted to the sciences. Physics  interested Neil and when he was a teenager, he started correcting the mistakes in his school's textbooks.

The contributions are present in the modern atomic model. They are: All matter consists of atoms. Atoms of the same element are the same in size and atoms of different elements are different. Atoms combine in whole-number ratios to form compounds.

Thus, Physics interested him to further study for atom.

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Find the mass of a sample of water if its temperature dropped 24.8 °C when it lost 870 J of
heat. (Remember that specific heat capacity of water 4200 J/kg °C)

Answers

Answer:

8.35 ×[tex]10^{-3}[/tex] kg

Explanation:

Remember the formula for heat:

[tex]Q=mc\Delta T[/tex]

You just need to solve for m, doing so you're left with:

[tex]m=\dfrac{Q}{c\Delta T}[/tex]

Replace the variables with numbers and that's it.

The mass of a sample of water is 0.841 kg.

What is specific heat?

Specific heat is the amount of heat energy required to raise the temperature of one unit of mass of a substance by one degree Celsius (or Kelvin). It is a characteristic property of a substance that reflects its ability to store and release thermal energy.

Different substances have different specific heat capacities, depending on their chemical composition and physical properties. For example, water has a high specific heat capacity of 4,200 joules per kilogram per degree Celsius (J/kg°C), which means that it takes a large amount of heat energy to raise the temperature of water by one degree Celsius. In contrast, metals such as copper and aluminum have much lower specific heat capacities, which means that they heat up and cool down more quickly than water when subjected to the same amount of heat energy.

The specific heat of a substance can be measured experimentally using calorimetry, which involves measuring the amount of heat energy absorbed or released by a substance as it undergoes a change in temperature. The specific heat of a substance is an important parameter in many fields of science and engineering, including thermodynamics, materials science, and environmental science.

Here in the Question,

We know the  formula:

Q = mcΔT

where:

Q = amount of heat lost by the sample of water, which is -870 J (negative because heat is lost)

m = mass of the sample of water, which is what we need to find

c = specific heat capacity of water, which is 4200 J/kg °C

ΔT = change in temperature, which is -24.8 °C (negative because temperature dropped)

Substituting the values, we get:

-870 J = m(4200 J/kg °C)(-24.8 °C)

Simplifying, we get:

m = -870 J / (4200 J/kg °C × -24.8 °C)

m = 0.841 kg

Therefore, the mass of the sample of water is 0.841 kg.

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Which particle would have the longest de broglie wavelength traveling with the same velocity?.

Answers

The particle would have the longest De Broglie wavelength traveling with the same velocity, which has lesser frequency.

What is wavelength?

The wavelength is the distance between the adjacent crest or trough of the sinusoidal wave. The wavelength is the reciprocal of the frequency of the wave.

Wavelength λ = c/f

where c is the speed of light in vacuum = 3*10⁸ m/s

As, the wavelength and frequency are inversely related to each other. When the wavelength is longer, the frequency will be lesser to the same value of speed of wave.

Thus, the particle with less frequency has longest De Broglie wavelength.

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NEED ANSWER ASAP!!! Angela has a bucket of mass 2 kg tied to a string. She places a drinking glass of mass 0.5 kg in the bucket. She spins the bucket in a vertical circle of radius 1.5 m. You want to find out how fast she must swing the bucket to keep the glass from falling out.

a. Draw the free-body diagram for the glass when it is at the top of the circle.

b. What is the equation for the net force on the glass at the top of the circle in terms of w, Fn, m, v, and r?

c. The glass will fall out of the bucket if the normal force between the glass and bucket equals zero. How fast must she spin the bucket to prevent this from happening?

d. The string will break if the tension on it is more than 100 N. Over what range of speeds can she keep the glass in the bucket and prevent the string from breaking?

Answers

a. The free-body diagram for the glass when it is at the top of the circle is attached below.

b. The equation for the net force on the glass at the top of the circle in terms of w, Fn, m, v, and r is mg x g + N -  mg x Vtop² /R =0

c. The glass will fall out of the bucket if the normal force between the glass and bucket equals zero. The speed with which she spin the bucket to prevent this from happening is 3.83 m/s.

d. The string will break if the tension on it is more than 100 N. The range of speeds can  prevent the string from breaking is 3.83< Vtop<4.99 m/s

What is Net force?

When two or more forces are acting on the system of objects, then the to attain equilibrium, net force must be zero.

Given, Angela has a bucket of mass 2 kg tied to a string. She places a drinking glass of mass 0.5 kg in the bucket. She spins the bucket in a vertical circle of radius 1.5 m. She must swing the bucket to keep the glass from falling out.

a. The free body diagram of the bucket and glass is attached below.

b. Bucket will undergo centrifugal force

Fb = mVtop² /R

From the equilibrium of forces, we have

For bucket,

T +mb xg - N =  mb x Vtop² /R..............(1)

For glass,

mg x g + N =  mg x Vtop² /R..............(2)

Thus, this is the net force equation on the glass.

c. On adding both the equations. we have

T + (mb + mg) xg = (mb + mg) Vtop² /R

Substituting the values, T = 0 and from the question, we get

0 + (2+0.5) 9.81 = (2+0.5)(Vtop²/0.5)

Vtop = 3.83 m/s

Thus, the speed of spin to prevent glass from falling out is 3.83 m/s

d. The string will break if the tension on it is more than 100 N

100 + (2+0.5) 9.81 = (2+0.5)(Vtop²/0.5)

Vtop = 4.99 m/s

Thus, the range of velocity is  3.83< Vtop<4.99 m/s

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the magnitude of the electric potintial and of the electrolstatic force depend on which two factors

Answers

answer:

Distance and amount of charge

also:

size, type

Electrostatic force F=k Q q / r^2

It depends on

1. Charge on which force is acting.

2. Charge due to which force is acting

3. Distance between the two charges.

4. Material medium in which the charges are placed (eg air, water, oil etc)

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ALWAYS use significant figure rules. Remember that these rules apply to all numbers that are measurements. In working this problem, assume the value of "g" to be 9.8 m/s2 with two (2) significant digits unless otherwise stated. Calculate the increase in potential energy of a 60.0-kg man who climbs a ladder 10.0 meters high.
5880
600
58,800

Answers

The increase in potential energy of a 60.0-kg man who climbs a ladder 10.0 meters high is 5,880 J.

Increase in the potential energy of the man

The increase in the potential energy of the man is calculated as follows;

P.E = mgh

where;

m is mass of the manh is height attained by the mang is acceleration due to gravity

P.E = 60 x 9.8 x 10

P.E = 5,880 J

Thus, the increase in potential energy of a 60.0-kg man who climbs a ladder 10.0 meters high is 5,880 J.

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Which vector is the sum of the vectors shown below?
A.
B.
C.
D.

Answers

Answer:

B.

Explanation:

The addition of vectors is commutative, so adding in any order will lead to the same result; just draw a straight line from the starting point to the tip of the final vector.

At first the contact force from mud on each wheel is 2000n explain why the wheels will start to sink

Answers

The wheels will start to sink due to no friction by the mud to take the grip.

What is frictional force?

When an object is moving on a rough surface, it experiences opposition. This opposing force is called the friction force.

Given is the contact force from mud on each wheel is 2000N  . Assume the only other force acting on the block is that due to gravity.

The friction force is given by

f = coefficient of friction x Normal or contact force

The mud is soft and viscous. When the wheels are rotating, the car will be sinking in mud. This happens due to no grip. Car tries to get out of the mud, but instead it digs itself.

Car needs grip or frictional force to get out from the mud. There is no friction with the ground. Exactly friction makes car's wheels to displace.

Thus, the wheels of the car sink because of no friction from mud.

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A car of mass 750 kg accelerates away from traffic lights. At the end of the first 100 m it has reached a speed
of 12 m/s. During this time, its engine provides an average forward force of 780 N, and the average force of
friction on the car is 240 N.
a Calculate the work done on the car by the force of its engine.
b Calculate the work done on the car by the force of friction.
c Using ke. = mv2, calculate the increase in the car's kinetic energy at the end of the first 100 m.
d Explain whether your answers are consistent with the principle of conservation of energy.​

Answers

the work done on the car by the force of its engine is 78,000 J.

" The work done on the car by the force of friction is 24,000 J.

Increasing the car's kinetic energy at the end of the first 100 m is 54,000J

a. Completed work = force x distance. Engine output = 780 N, that is,

780 N x 100 m = 78,000 J.

b. Completed work = force x distance. Friction force = 240 N, that is,

240 N x 100 m = 24,000 J.

c. Kinetic energy = 1 \ 2 x m x v2

= 1 \ 2 x 750 kg x 12 squared = 375 x 144 = 54,000 J.

How powerful is the engine of a car?

Mainstream car and truck engines typically produce 100-400 pounds. -Torque feet. This torque is generated by the engine piston as it moves up and down on the engine crankshaft, causing the engine to rotate (or twist) continuously.

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A point charge of 5.0 x 10^-7 C moves to the right at 2.6 x 10^5 m/s in a magnetic field that is directed into the screen and has a field strength of 1.8 x 10^-2 T.
What is the magnitude of the magnetic force acting on the charge?

Answers

The magnitude of the magnetic force acting on the charge is 2.34×10⁻³ N.

What is magnetic force?

A magnetic force is the force that act in a magnetic field.

To calculate the magnetic force, we use the formula below.

Formula:

F = qvB.........Equation 1

Where:

F = magnetic forceq = point chargev = Velocity of the the chargeB = Field strength

From the question,

Given:

q = 5.0×10⁻⁷ Cv = 2.6×10⁵ m/sB = 1.8×10⁻² T

Substitute these values into equation 2

F = (5.0×10⁻⁷)(2.6×10⁵)(1.8×10⁻²)F = 23.4×10⁻⁴F = 2.34×10⁻³ N

Hence, the magnitude of the magnetic force acting on the charge is 2.34×10⁻³ N.

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solar power—generating facilities that generate electricity at large centralized facilities and transmit that power to homes and businesses through the electric grid are called ________.

Answers

Concentrated solar power facilities are solar powergenerating facilities that generate electricity at large centralized facilities and transmit that power to homes and businesses through the electric grid .

What is solar power?

Solar power refer to electric power or electricity that is generated from sun rays or radiations while using solar panels and other technologies.

Therefore, Concentrated solar power facilities solar powergenerating facilities that generate electricity at large centralized facilities and transmit that power to homes and businesses through the electric grid.

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3. Magnetite is
a) Natural magnet
(b)Artificial magnet
(c) Not a magnet ​

Answers

[tex] \huge \bold \red {Aɴswᴇʀ}[/tex]

Magnetite is a Natural magnet

the answer would be a magnetite is a natural magnet

as resistors are added in series​

Answers

Answer:

decrease,inverse

Explanation:

........................

If a liquid has a density of 1.67 g/cm^3, what is the volume of 45g of the liquid?

Answers

Answer:

V = 26.95 cm³

Explanation:

Density is given by the formula :

ρ = m÷V

Density = mass ÷ Volume

Given both density and mass we rearrange, substitute and solve for Volume :

Rearranging the equation to make Volume the subject :

ρ = m÷V

ρV = m

V = m÷ ρ

Now substitute :

V = 45 ÷ 1.67

V = 26.9461077844

Take 2 decimal places as the density is 2 decimal places :

V = 26.95

Units will be cm³ as it is volume

Hope this helped and have a good day

Two marbles, one twice as heavy as the other, are dropped to the ground from the roof of a building. Just before hitting the ground, the heavier marble has 1. as much kinetic energy as the lighter one. 2. twice as much kinetic energy as the lighter one. 3. half as much kinetic energy as the lighter one. 4. four times as much kinetic energy as the lighter one. 5. impossible to determine

Answers

Given that one marble is twice as heavy as the other, the correct statement is: the heavier marble has twice as much kinetic energy as the lighter one

How to determine the energy of the lighter marbleMass = mAcceleration due to gravity = gHeight = hKinetic energy of light marble (KE₁) =?

KE = PE = mgh

KE₁ = mgh

How to determine the energy of the heavier marbleMass = 2mAcceleration due to gravity = gHeight = hKinetic energy of heavier marble (KE₂) =?

KE = PE = mgh

KE₂ = 2mgh

How to campare both kinetic energies Kinetic energy of light marble (KE₁) = mghKinetic energy of heavier marble (KE₂) = 2mghComparison (KE₂ / KE₁) =?

KE₂ / KE₁ = 2mgh / mgh

KE₂ / KE₁ = 2

Cross multiply

KE₂ = 2 × KE₁ =

KE₂ = 2KE₁

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6.Riding his bike, Mike can start from rest and get going at 10 m/s in 4 seconds. Joy can get
going 15 m/s in 5 seconds. Who has a greater acceleration? How do you know?

Answers

Answer:

Joy has a greater acceleration.

Explanation:

Mike

v = v₀ + at

10 = 0 + 4a

a = 2.5 m/s²

Joy

v = v₀ + at

15 = 0 + 5a

a = 3 m/s²

--

Using the UAM equations, we can determine that Joy's acceleration is 3 m/s² while Mike's acceleration is only 2.5 m/s².

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