8. What is the total mechanical energy of a penny dropped off of the top of the Empire
State Building if it has a potential energy of 47 J, and a kinetic energy of 23 J?
A.18J
B.24 J
C.70 J
D.667 J

Answer: The potential energy associated with a mass attached to a spring depends on how much the spring is stretched or compressed. ... The gravitational force on the mass is −mg (“−” because the force points down). The force is the negative of the slope on the potential energy versus position graph.

Explanation:

:)

By getting the data from the graph of force versus displacement we can calculate the Potential energy of the spring.

As we know that potential energy is defined as the energy possessed by the body due to its position with respect to other positions.

For an example the potential energy of an object if it is placed at height h will be due to the gravitational acceleration of the earth and is given by  [tex]PE=mgh[/tex]

Similarly, for a spring-mass system, the potential energy will be due to the weight of the mass that will be the force exerted by the mass on the spring so there will be an extension in the spring.

So this extension will be found out by the force and displacement  graph as the position of the mass attached to the spring goes down so the potential energy can be calculated as the

[tex]PE= F\times X[/tex]

[tex]F=mg[/tex]  weight of the mass

X= deflection of the spring

Thus by getting the data from the graph of force versus displacement we can calculate the Potential energy of the spring.

To know more about potential energy follow

https://brainly.com/question/24933254

Answer:

Final velocity of ball = 20 m/s

Explanation:

Given:

Height when ball released = 20meter

Find;

Time taken to fall

Final velocity of ball

Computation:

Initial velocity of ball = 0 m/s

Acceleration due to gravity = 10 m/s²

Using equation of motion;

S = ut + (1/2)(g)(t²)

20 = (0)(t) + (1/2)(10)(t²)

20 = 5(t²)

(t²) = 20 / 5

(t²) = 4

Time taken to fall = 2 second

V = u + at

V = 0 + (10)(2)

Final velocity of ball = 20 m/s

Answer:

[tex]E=8.13\times 10^{12}\ J[/tex]

Explanation:

Given that,

The mass of a Hubble Space Telescope, [tex]m_1=1.16\times 10^4\ kg[/tex]

It orbits the Earth at an altitude of [tex]5.68\times 10^5\ m[/tex]

We need to find the potential energy the telescope at this location. The formula for potential energy is given by :

[tex]E=\dfrac{Gm_1m_e}{r}[/tex]

Where

[tex]m_e[/tex] is the mass of Earth

Put all the values,

[tex]E=\dfrac{6.67\times 10^{-11}\times 1.16\times 10^4\times 5.97\times 10^{24}}{5.68\times 10^5}\\\\E=8.13\times 10^{12}\ J[/tex]

So, the potential energy of the telescope is [tex]8.13\times 10^{12}\ J[/tex].

Answer:

Limiting the use of fossil fuels such as oil, carbon and natural gas and replacing them with renewable and cleaner sources of energy, all while increasing energy efficiency

Explanation:

Answer:

Weight = 966 Newton.

Explanation:

Given the following data;

Length = 1.2 m

Width = 2.3 m

Pressure = 350 Pa

To find the weight of the tank;

We know that weight is the force of gravity acting on an object multiplied by its mass.

Weight = mg = force

Hence, we would determine the force using the parameters that were given.

But we would first determine the area of the rectangular tank.

Area of rectangle, A = length * width

A = 1.2 * 2.3

A = 2.76 m²

Mathematically, pressure is given by the formula;

Pressure = force/area

Force = pressure * area

Substituting into the formula, we have;

Force = 2.76 * 350

Force = 966 Newton

Therefore, the weight of the tank is 966 Newton.

Answer:

428.8 nm

Explanation:

Answer: 3.3 x 10^-28 J

Explanation: just answered on a quiz!! :)

Answer:

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Answer:

b

Explanation:

sorry if im wrong

Answer: 0.04139m

Explanation:

First, we need to calculate the weight of the man which will be:

Weight = mass × acceleration due to gravity

Weight = mg

Weight = 92.5 × 9.8

Weight = 906.5N

Then, we calculate the force which will be:

F = kx

mg = kx

x = mg/k

x = 906.5/21900

x = 0.04139m.

The spring stretched for 0.04139m.

Answer:

as we move away from the sun the velocity of the planet decreases

Answer:

It tastes like an orange, I don't think that you can replicate taste as much as looks, I could be wrong though. But yes it is confusing.

Explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Please tell me if you need me to elaborate more or show work!! I hope this helped and have a nice day!

Answer:

See explanation below

Explanation:

In this case, let's draw the triangle so we can see how the resultant force would be.

In the picture below, you have the drawn, and the procedure to solve this.

Hope this helps

Answer:

work equal to Force times distance

Answer: Mass is the quantity of matter in an object whereas weight is the force of gravity on an object.

Weight is dependent on gravity while mass is independent on gravity

Explanation:

Answer:

So let's first start with the base which is a rectangle remember that the formula to solve the area

Explanation:

Answer:

I think B but I could be wrong

Explanation:

Answer:

The organization of electrons in atoms explains not only the shape of the periodic table but also the fact that elements in the same column of the periodic table have similar chemistry. The same concept applies to the other columns of the periodic table.

Answer:

Our Repelling Force Magnet Calculator shows the repelling force on a magnet that happens when another magnet of the same size is placed at some distance from it, with like poles facing one another. The force depends on the distance between the magnets. The farther apart the magnets are, the weaker the force.

Explanation:

Answer:

The function of the digestive system is digestion and absorption. Digestion is the breakdown of food into small molecules, which are then absorbed into the body.

Explanation:I  hope it helped

Answer:

Rays of light parallel to the principal axis of a concave mirror will appear to converge on a point in front of the mirror somewhere between the mirror's pole and its center of curvature. That makes this a converging mirror and the point where the rays converge is called the focal point or focus .

Explanation:

hopefully that helps you

Answer:

Rays of light parallel to the principal axis of a concave mirror will appear to converge on a point in front of the mirror somewhere between the mirror's pole and its center of curvature. That makes this a converging mirror and the point where the rays converge is called the focal point or focus .

Explanation:

Hope you have a good day :)

Answer:

First, we can define the North as the positive y-axis, and the East as the positive x-axis.

Here we have two forces:

F₁ = 14N to north

F₂ = 9.2 N to west.

Then the free body diagram will be the one that can be seen below:

Now we want to find the acceleration that the ball experiences if the mass is 225g

Knowing that 1k = 1000g, we can rewrite the mass as:

M = 0.225g

Here we also need to remember the second Newton's law:

F = M*a

Net force equals mass times acceleration.

First, let's find the net force:

F = F₁ + F₂ = 14N*(0, 1) + 9.2N*(-1, 0 )

F = (-9.2N, 14N)

The module of the force is then:

I F I = √( (-9.2N)^2 + (14N)^2) = 16.75 N

Then the acceleration is given by

16.75 N = 0.225kg*a

(16.75 N)/(0.225 kg) = a = 74 m/s^2

Answer:

f = 12 cm

Explanation:

Center of Curvature:

The center of that hollow sphere, whose part is the spherical mirror, is known as the ‘Center of Curvature’ of  mirror.

The Radius of Curvature:

The radius of that hollow sphere, whose part is the spherical mirror, is known as the ‘Radius of Curvature’ of  mirror. It is the distance from pole to the center of curvature.

Focal Length:

The distance between principal focus and pole is called ‘Focal Length’. It is denoted by ‘F’.

The focal length of the spherical (concave) mirror is approximately equal to half of the radius of curvature:

[tex]f = \frac{R}{2}[/tex]

where,

f = focal length = ?

R = Radius of curvature = 24 cm

Therefore,

[tex]f = \frac{24\ cm}{2}[/tex]

f = 12 cm

[tex]\huge{ \mathfrak{  \underline{ Answer} \:  \:  ✓ }}[/tex]

1. Calculate the equivalent resistance in the circuit :

In the given diagram, the resistors are in series connection,

So equivalent resistance = sum of resistance of both resistors.

[tex] \large \boxed{R_{eq} =R_1 +R_2 }[/tex]

Therefore, Equivalent resistance = 840 ohms.

2. Calculate the current through the battery :

[tex] \boxed{ \mathrm{current = \dfrac{potential \: \: difference}{resistance} }}[/tex]

Hence, current through the battery = 0.142 A

3. How much current is passing through each resistor :

Since the resistors are joined in series connection, the current flowing through each resistor will be equal = 0.142 Amperes.

___________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

Answer:

-201

Explanation:

Got it right on Acellus

Answer:

-201

Explanation:

acellus