What is the potential energy of a 2 kg bowling ball resting at the top of a 5 m high hill? Show all of your work and include the correct units to receive full credit.​

The acceleration of the mass sliding along the horizontal surface is 5.2 m/s².

The given parameters;

The acceleration of the mass is calculated by determining the net force on the mass as shown below;

[tex]\Sigma F_{net} = ma\\\\Wsin\theta - F_k = ma\\\\mg sin\theta - \mu_k F_n = ma\\\\mg sin\theta - \mu_k mg\ cos\theta = ma\\\\g sin\theta - \mu_k g\ cos\theta = a\\\\g(sin\theta - \mu_k \ cos\theta ) = a\\\\9.8(sin\ 45 \ - \ 0.25\times cos \ 45) = a\\\\9.8(0.53) = a\\\\5.2 \ m/s^2 = a[/tex]

Thus, the acceleration of the mass sliding along the horizontal surface is 5.2 m/s².

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Hi there!

We can use the following:

U (Gravitational Potential Energy) = mgh

m = mass of object (kg)

g = acceleration due to gravity OR gravitational field strength

h = height, or displacement (m)

ΔU = Uf - Ui, so:

Uf = 3 × 1.5 × 10 = 45 J

Ui = 3 × 0 × 10 = 0

ΔU = Uf - Ui = 45 - 0 = 45 J

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The given statement is false, change in state is considered as a physical chance because the state can be regained by using physical methods ~

for example boiling causes water to evaporate (converted into gaseous state) , but it can gain the liquid form again by Condensation ~

Answer:

False

Explanation:

This is False because boiling is not included in the chemical category.

Boiling is a PHYSICAL change, a chemical change is one or more substances combine or break apart to form new substances.

To learn more, read from the passage above the questions!

Hope this helped!!

Explanation:

u=0, v=?, a=5m/s², t=8sec

So, by the formula,

v=u+at

v=0+5×8

v=40m/s.

hope this helps you .

Answer:

4.8 N*s

Explanation:

P = F*t

P = Impulse/ momentum

F = force (Newtons)

t = time (seconds)

P = 9.5N*0.5s

P = 4.75 N*s

Hi there!

[tex]\large\boxed{I = 4.8 N}[/tex]

Impulse = Force (N) × Time (s)

We can also express this as:

I = Δp = Ft

Plug in the given values:

I = 9.5(.50) = 4.75 ≈ 4.8 Ns

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Answer:

A 70 kg box is slid along the floor by a 400 n force. The coefficient of friction between the box and the floor is 0. 50 when the box is sliding

Answer:

46 degrees

Explanation:

The equilibrium temperature of the iron-water mixture will be greater than the initial temperature of the cold water but less than the initial temperature of the hot iron.

According to the principle of conservation of energy, the heat lost by the red-hot iron is equal to heat absorbed by the cold water.

[tex]Q_{I} = Q_{w}\\\\m_IC_I(t_I - T) = m_wC_w (T-t_w)[/tex]

where;

From the equation given above, we can conclude that the equilibrium temperature of the iron-water mixture will be greater than the initial temperature of the cold water but less than the initial temperature of the hot iron.

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Answer:

The time to reach max height is    h = 1/2 g t^2  

The time to fall is the same as that for an equivalent rise

m g h = 1/2 m v^2       KE vs PE

Here:   (Vf - VI) / g = t = -9  / -9.8 = .92 s

Answer:

The electric and magnetic fields are oriented such that they are perpendicular to one another and parallel to the direction of wave propagation.

In an electromagnetic wave, the electric field and magnetic field are oriented such that they are perpendicular to each other and perpendicular to the direction of propagation.

Electromagnetic radiations are made of electromagnetic waves that are produced when an electric field and magnetic field come in contact with each other. Electromagnetic waves are oscillating electric and magnetic fields.

An electric field is generated by a charged particle and a force is exerted by it on other charged particles. Positive charges are accelerated in the direction of the field and negative charges are accelerated in the opposite direction of the field.

The Magnetic field is generated by a moving charged particle and force is exerted by it on other moving particles. The force is always perpendicular to the direction of their velocity.

The electric field and magnetic fields of EM waves are perpendicular to each other and are also perpendicular to the direction of propagation of waves.

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Answer:

Yes

Explanation:

Perpetual Motion Machine (PMM) which can be applied to produce electricity, may be an alternative solution for the problem the world is facing today. The machine is designed to generate power from repulsive forces of permanent magnet without utilizing external sources.

Answer:

Electricity is the flow of electrons, because electrons pass from atom to atom.

The slope of the graph is acceleration of the car with a value of 3.2 m/s².

The given parameters;

The initial velocity of the car in m/s is calculated as follows;

[tex]60 \ \frac{km}{hr} \times \frac{1 \ hr}{3600 \ s} \times \frac{1000 \ m}{1 \ km} = 16.67 \ m/s[/tex]

The acceleration of the car is calculated as follows;

[tex]a = \frac{v- u}{t} \\\\a = \frac{80 - 16.67 }{20} \\\\a = 3.2 \ m/s^2[/tex]

The graph of the velocity against time and acceleration against time is in the image uploaded.

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Answer:

If the force is 10N and mass is 5000G, then a=2m/s2

Explanation:

F=10N

m=5000

g=5kg

a=10N/ 5kg

and finally; a= 2m/s2

Answer:

Ax + Bx = 3 - 1 = 2

Cx = -2

Ay + By = -2 -4 = -6

Cx + Cy = -2 - 6

Then

Ax + Bx - Cx = 2 - (-2) = 0

Ay + By - Cy = -6 - (-6) = 0

C must have the form:

C = -2i - 6j

Considering the Law of Universal Gravitation, the mass of the second object is 78090.19 kg.

The Law of Universal Gravitation is a law that states that bodies, by the simple fact of having mass, experience a force of attraction towards other bodies with mass, called gravitational force.

This law establishes that every particle attracts any other particle with a force directly proportional to the product of the masses of both and inversely proportional to the square of the distance that separates them:

[tex]F=G\frac{m1m2}{r^{2} }[/tex]

where m1 and m2 are their masses; r the distance between them and G a universal constant that is called the constant of gravitation.

In this case, you know:

Replacing:

[tex]0.128 N=6.67x10^{-11}\frac{Nm^{2} }{kg^{2} } \frac{1300 kg m2}{(0.23 m)^{2} }[/tex]

Solving:

[tex]0.128 N=1.639x10^{-6}\frac{N}{kg }x m2[/tex]

m2=0.128 N ÷ 1.639×10⁻⁶ [tex]\frac{N}{kg}[/tex]

m2=78090.19 kg

In summary, the mass of the second object is 78090.19 kg.

Learn more:

Two vectors can be added together to determine the result (or resultant). ... computing the vector sum of all the individual forces acting upon that object.

i hope u understand

Answer: friction :)

Explanation:

I took the test and got 100%

Formulas change from F to degree C : C = ( F - 32 )/1.8

so we have (77-32)/1.8 = 25 oC

ok done. Thank to me :>

Answer: The answer is C. 298 K

Explanation:

Answer:

Falling objects form an interesting class of motion problems. For example, we can estimate the depth of a vertical mine shaft by dropping a rock into it and listening for the rock to hit the bottom. By applying the kinematics developed so far to falling objects, we can examine some interesting situations and learn much about gravity in the process.

The most remarkable and unexpected fact about falling objects is that, if air resistance and friction are negligible, then in a given location all objects fall toward the center of Earth with the same constant acceleration, independent of their mass. This experimentally determined fact is unexpected because we are so accustomed to the effects of air resistance and friction that we expect light objects to fall slower than heavy ones.

In the real world, air resistance can cause a lighter object to fall slower than a heavier object of the same size. A tennis ball will reach the ground after a hard baseball is dropped at the same time. (It might be difficult to observe the difference if the height is not large.) Air resistance opposes the motion of an object through the air, while friction between objects, such as between clothes and a laundry chute or between a stone and a pool into which it is dropped, also opposes motion between them. For the ideal situations of these first few chapters, an object falling without air resistance or friction is defined to be in free-fall.

Hope this helps, have a nice day/night! :D

Answer:

Pushing a car and a truck

Explanation:

The required torque at the axle, is given by the difference between the

moments of the applied forces.

The torque required is 19.62 N·m counterclockwise

Reasons:

The given parameters are;

Mass of the disk, m = 5.0 kg

Location of the axle = Half the radius of the disk

Diameter of the disk, D = 40 cm = 0.4 m

Applied mass, 0.1 m from the axle = 15 kg

Applied mass, 0.3 m from the axle = 10 kg

Required:

Magnitude of torque at the axle that prevent the disk from rotating

Solution:

Torque needed = Clockwise moment - Counterclockwise moment

Clockwise moment = (10 kg × 0.3 m + 5 kg × 0.1 m) × 9.81 m/s² = 34.335 N·m

Counterclockwise moment = 15 kg × 0.1 m  × 9.81 m/s² = 14.715 N·m

τ + Counterclockwise moment = Clockwise moment

τ + 14.715 N·m = 34.335 N·m

Torque required, τ = 34.335 N·m - 14.715 N·m = 19.62 N·m

Torque required, τ = 19.62 N·m counterclockwise

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The probable question drawing obtained from a similar question online is attached

Hi there!

If we sum the forces acting on the bucket:

∑F = T (upward) - Mg (downward)

Thus:

ma = T - mg

We can rearrange for T:

ma + mg = T

Plug in the given values:

4.6(3 + 9.8) = T = 58.88 N

Explanation:

hope this is right!!!!!!!!!!!!!

1. a. Electron 1 -1

b. Proton 2000 +1

c. Neutron 2000 0

2. a. An uncharged nucleon is neutron. It is a chargeless subatomic particle.

b. The particle with the least mass is electron. The mass of an electron is so small that it is considered to be negligible while calculating the atomic mass of an element.

c. The particle with the same mass as a neutron is proton. However if we see the absolute mass of neutron and proton then it is seen that neutron has a greater mass than proton.

d. The particle with the same amount of charge as an electron is proton. Note that the amount of charge is only same. Electron is negatively charged while proton is positively charged.

e. A particle that is negatively charge is electron. The relative charge of electron is -1.

Hope you could understand.

If you have any query, feel free to ask.

Answer:

A rogue wave estimated at 18.3 meters (60 feet) in the Gulf Stream off of Charleston, South Carolina. At the time, surface winds were light at 15 knots.

Explanation:

Rogue, freak, or killer waves have been part of marine folklore for centuries, but have only been accepted as real by scientists over the past few decades.

Rogues, called 'extreme storm waves' by scientists, are those waves which are greater than twice the size of surrounding waves, are very unpredictable, and often come unexpectedly from directions other than prevailing wind and waves.

Most reports of extreme storm waves say they look like "walls of water." They are often steep-sided with unusually deep troughs.

Since these waves are uncommon, measurements and analysis of this phenomenon is extremely rare. Exactly how and when rogue waves form is still under investigation, but there are several known causes:

Constructive interference. Extreme waves often form because swells, while traveling across the ocean, do so at different speeds and directions. As these swells pass through one another, their crests, troughs, and lengths sometimes coincide and reinforce each other. This process can form unusually large, towering waves that quickly disappear. If the swells are travelling in the same direction, these mountainous waves may last for several minutes before subsiding.

Focusing of wave energy. When waves formed by a storm develop in a water current against the normal wave direction, an interaction can take place which results in a shortening of the wave frequency. This can cause the waves to dynamically join together, forming very big 'rogue' waves. The currents where these are sometimes seen are the Gulf Stream and Agulhas current. Extreme waves developed in this fashion tend to be longer lived.

Hope this helps, have a nice day/night! :D

On January 1st, 1995, the first accurate measurement of a rogue wave took place. It was captured by a laser detector on Statoil's Draupner oil drilling rig, which is situated 100 miles off the Norwegian coast.

Although rogue, freak, or killer waves have been mentioned in maritime legend for many years, scientists have only recently acknowledged their existence.

Scientists refer to these waves as "rogues," or "severe storm waves," since they are more than twice as large as the waves around them, very unpredictable, and frequently arrive from directions other than the prevailing wind and waves.

Extreme storm waves are typically described as looking like "walls of water" in reports. Frequently, they have steep sides and exceptionally deep valleys.

Measurements and analyses of this phenomenon are extremely rare because these waves are not common.

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The magnitude of the acceleration of the descending block is equal to 1.96 m/s².

Tension can be described as a force acting along the length of a rope or a cable, especially a force that comprises by a flexible medium. Tension can be described as an action-reaction pair of forces acting at each end of the length of the medium. Each endpoint carried tension and force from the weight attached.

Given that the block with mass, M₁ = 4m is placed on the horizontal table.

The block with mass, M₂ = m is attached by a string.

The block (M₂) suspended by the string experiences tension (T) in the upward direction and weight in the downward direction.

M₂g - T = M₂a                                                     ..............(1)

The block (M₁) placed on the table experienced only one force which is tension (T)

T = M₁ a                                                          .....................(2)

From equation (1) and (2):

M₂g -  M₁a  = M₂a  

M₁a  + M₂a  = M₂g

(M₁ + M₂) a =  M₂g

a = M₂g/(M₁ + M₂)

Substitute the value of masses of the blocks:

a = m g /( 4m + m)

a = g/5

a = 1.96 m/s²

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Answer: B

Explanation: