The Really Big Dam is 1000 feet wide, holds back a depth of 60 feet of water, and the lake behind the dam extends back one quarter of a mile. The Very Big Dam is also 1000 feet wide, holds back a depth of 50 feet of water, and the lake behind the dam extends back for 2 miles.



If the dams were constructed in the same way, which dam had to be constructed to be strongest? (Assume the water levels do not vary seasonally. )

Answer:

B) 4 m/s²

Explanation:

\( \boxed{ \sf{ F= m \times a}}\)

Here,

Substituting the respective values for F and m:

==> 220 = 55 × a

==> 220 = 55 × a

dividing the equation by 55:

==> 4 = a

Therefore, an object of 55 kg when pulled across a frictionless surface by a force of 220 N accelerates at 4 (m/s)/s

The kinetic energy of cart 2 increases by 360 J to two significant digits.

The kinetic energy of cart 2 will increase by a factor of 4 and will have a final energy of K2,f = 480 J. This is because kinetic energy is conserved in an elastic collision, meaning that the total kinetic energy before the collision (K1,i + K2,i) is equal to the total kinetic energy after the collision (K1,f + K2,f).

Since K1,f = 4K1,i = 480 J,

we can rearrange the equation to solve for K2,

f, which is equal to K2,f = K1,i + K2,i - K1,f = 120 J + K2,i - 480 J = -360 J + K2,i

. Therefore, K2,f = 480 J. The kinetic energy of cart 2 increases by 360 J.
In an elastic collision, the total kinetic energy is conserved. If the initial kinetic energy of cart 1 is K1,i = 120 J and its kinetic energy increase four times after the collision, the final kinetic energy of cart 1 becomes K1,f = 4 * K1,i = 480 J.

Since the total kinetic energy is conserved, the change in kinetic energy of cart 2, ΔK2, can be found using the equation:

ΔK2 = K1,f - K1,i = 480 J - 120 J = 360 J

Therefore, the kinetic energy of cart 2 increases by 360 J to two significant digits.

learn more about kinetic energy

https://brainly.com/question/26472013

#SPJ11

At the base of the ramp, the box will be moving at a speed of roughly 40.5 m/s.

Acceleration on a ramp is equal to the product of gravitational acceleration and the height to length ratio of the ramp. Acceleration on a ramp is equal to gravity acceleration times the sine of the ramp angle.

Due to its height above the ground at the top of the ramp, the box contains potential energy, as determined by:

PE = mgh

where m is the box's mass, g is gravity's acceleration (9.81 m/s2), and h is the ramp's height (83 meters).

This potential energy is changed into kinetic energy when the box descends the ramp by:

KE = (1/2)mv²

where v denotes the box's speed at the base of the ramp.

Energy is conserved, hence we may compare these two statements:

PE = KE

mgh = (1/2)mv²

Solving for v, we get:

v = √(2gh)

Plugging in the given values, we get:

v = √(29.8183) = 40.5 m/s (rounded to two decimal places)

To know more about potential energy visit:-

https://brainly.com/question/24284560

#SPJ1

Answer:

40joules

Explanation:

Work done = force × distance

Therefore 5×8=40

Work done is 40 joules

Explanation:

This is the correct answer...

I hope you understand...

The forces acting on free rolling body are friction force and force of gravity.

Gravity is the force exerted by a planet or other body on objects to attract them toward its center. The force of gravity is responsible for keeping planets in orbits.

The earth also exert force of gravity on all object which are freely falling. A rolling object is rolling downward along the slope because of force of gravity.

Force of friction acts on an object when it moves on the surface of another object. This force always opposes motion. This acts as reaction force of motion.

The model of the wall that cart collide with is interactions of these two forces and also the force applied by agent like horse.

To know more about Gravity here

brainly.com/question/4014727

#SPJ4

Answer:

. living things only have energy : true.

Answer:

F

Explanation:

Example, sun, nuclear, etc

Answer:

h = 0.25 [m]

v = 3.26 [m/s]

Explanation:

In order to solve this problem, we must remember that mechanical energy is defined as the sum of kinetic energy plus potential energy.

E1 = Ek + Ep

where:

E1 = mechanical energy = 25 [J]

Ek = kinetic energy = 17 [J]

Ep = potential energy [J]

25 = 17 + Ep

Ep = 8 [J]

Now the potential energy is defined by the following equation:

Ep = m*g*h

where:

m = mass = 3.2 [kg]

g = gravity acceleration = 9.81 [m/s²]

h = elevation [m]

8 = 3.2*9.81*h

h = 0.25 [m]

The velocity can be calculated by means of kinetic energy.

\(E_{k} =\frac{1}{2} *m*v^{2}\\17 =\frac{1}{2} *3.2*v^{2} \\v= \sqrt{\frac{17*2}{3.2} }\\v = 3.26[m/s]\)

(a) The height of the ball will be h=0.25 m

(b) The speed of the ball will be \(V= 3.26\ \frac{m}{s}\)

It is given that

Mass of the ball m=-3.2kg

The kinetic energy of the ball = 17 j

The total mechanical energy of the ball = 25 J

(a) So the total mechanical energy is the sum of the kinetic energy of the ball and the potential energy of the ball.

\(E_T=E_{KE}+E_{PE}\)

Now putting the values of the KE and the Total energy we get

\(25=17+E_{PE}\)

\(E_{PE}=8 \ J\)

Now the formula of the potential energy will be

\(E_{PE}=mgh\)

\(8=3.2\times 9.81 \times h\)

\(h= \dfrac{8}{3.2\times 9.81}\)

\(h=0.25\ m\)

(b) Now to find out the speed of the ball we have

\(E_K=17\ J\)

\(E_K=\dfrac{1}{2} mv^2\)

\(v=\sqrt{\dfrac{2E_{KE}}{m} }\)

\(v=\sqrt{ \dfrac{2\times17}{3.2} }=3.25\)

\(v=3.25 \ \dfrac{m}{s}\)

So the calculated answers will be

(a) The height of the ball will be h=0.25 m

(b) The speed of the ball will be \(V= 3.26\ \frac{m}{s}\)

To know more about Kinetic and Potential energy follow

https://brainly.com/question/25959744

A 40 kg crate is pulled at a constant velocity. The coefficient of kinetic friction is 0.5 and the crate moves 7 m . The amount of work done is 140 joule.

When an object is moved over a distance by an external force, at least a portion of that force must be applied in the direction of the displacement.

By multiplying the length of the path by the component of the force acting along the path, work can be calculated if the force is constant. The work W is equal to the force f times the distance d, or W = fd, to mathematically describe this idea.

The work is W = fd cos if the force is applied at an angle of to the displacement. Performing work on a body involves moving it in its entirety from one location to another as well as.

Therefore, A 40 kg crate is pulled at a constant velocity. The coefficient of kinetic friction is 0.5 and the crate moves 7 m . The amount of work done is 140 joule.

To learn more about work, refer to the link:

https://brainly.com/question/18094932

#SPJ1

Since the picture is not provided, I have given how reflection, absorption, refraction and transmission of visible light works.

There are electrons present in the atoms and molecules of objects. A visible light wave will have certain frequency. If the frequency of the light wave matches with the frequency that causes the electron to vibrate, the electrons will absorb the energy of light for vibrational motion. During the vibrational motion, the vibrational energy is converted into thermal energy. This is how light is absorbed.

The waves that do not match the frequencies are reflected if the object is opaque and is transmitted if the object is transparent. If the object is has high refractive index, the light bends and comes out the other side, It is called as refraction.

To know more about refraction

https://brainly.com/question/2660868

#SPJ1

The horizontal distance travelled by the football is 3.1 m.

The angle of projection of the football is calculated as follows;

tan ( θ ) = Vy / Vx

where;

tan ( θ ) = 5 / 3

tan ( θ ) = 1.667

θ = arc tan (1.667)

θ = 59⁰

The resultant velocity of the ball is calculated as follows;

v = √ (Vx² + Vy²)

v = √ (3² + 5²)

v = 5.83 m/s

The horizontal distance travelled by the football is calculated as follows;

x = v² sin(2θ) /g

where;

x = [ (5.83)² sin(2 x 59) /9.8 ]

x = 3.1 m

Learn more about horizontal distance here: https://brainly.com/question/24784992

#SPJ1

The acceleration of the block in \(m/s^2\) is 1.8. The block experiences a static friction force when it is at rest, which opposes the applied horizontal force.

The maximum static friction force can be calculated by multiplying the coefficient of static friction (µs) with the normal force. In this case, the normal force is equal to the weight of the block, which is the product of its mass (0.50 kg) and the acceleration due to gravity (9.8 \(m/s^2\)).

Thus, the maximum static friction force is 0.60 * (0.50 kg * 9.8 \(m/s^2\)) = 2.94 N. Since the applied force of 5.0 N is greater than the maximum static friction force, the block will start moving.

Once the block is in motion, it experiences kinetic friction, which is given by the product of the coefficient of kinetic friction (µk) and the normal force. Therefore, the kinetic friction force is 0.80 * (0.50 kg * 9.8 \(m/s^2\)) = 3.92 N.

The net force acting on the block is the difference between the applied force and the kinetic friction force: 5.0 N - 3.92 N = 1.08 N. To find the acceleration, we divide this net force by the mass of the block: 1.08 N / 0.50 kg = 2.16 \(m/s^2\).

However, since the block is being pushed against a vertical wall, only the horizontal component of the force contributes to the acceleration. Therefore, the acceleration of the block is 1.8 \(m/s^2\), and the correct answer is B.

Learn more about force here ;

https://brainly.com/question/30507236

#SPJ11

Answer:

Very simple. The charge Q= 20 C. the formula for Q= I* t. now I= Q/t = 20/1s = 20 Amps.

Explanation:

The current given that the charge is 10C and the time is 4 seconds is gotten as Current = 2.5 Amps

Given Data

Charge = 10 Columbs

Time = 4 seconds

Current = ?

Electrical current is defined by how much electric charge has been transferred per second, giving the following relationship:

Charge = Current*Time

Rearranging this we get:

Current = Charge/Time

The symbol for charge is Q , it is measured in coulombs (C).

The symbol for current is I , it is measured in amperes (A).

The symbol for time is T, it is measured in seconds (s).

Substituting our given Data into the expression we have

Current = 10/4

Current = 2.5 Amps

Learn more about Charge here:

https://brainly.com/question/2373424

The weak force and the electromagnetic force are two fundamental forces in nature that have distinct characteristics. One notable contrast between them is their range of influence.

The weak force acts within the nucleus of an atom, specifically within protons and neutrons, and has a very short-range, limited to distances on the order of nuclear dimensions.

In contrast, the electromagnetic force has an infinite range, meaning it can act over long distances, reaching out to infinity.

Furthermore, the nature of the forces' interactions differs. The weak force is both attractive and repulsive, meaning it can either attract or repel particles depending on the circumstances.

On the other hand, the electromagnetic force is solely attractive, leading to the attraction of charged particles and the binding of electrons to atomic nuclei.

In summary, the weak force acts within protons and neutrons, with a limited range, and exhibits both attractive and repulsive behavior, while the electromagnetic force has an infinite range, acts between charged particles, and is exclusively attractive.

For more such questions on electromagnetic

https://brainly.com/question/24319848

#SPJ8

Answer:

17.84 m/s.

Explanation:

From the question given above, the following data were obtained:

Angle of projection (θ) = 25°

Maximum height (H) reached = 2.9 m

Acceleration due to gravity (g) = 9.8 m/s²

Initial velocity (u) =..?

Thus, we can obtain the initial velocity of the lure as follow:

H = u² sine² θ /2g

2.9 = u² × (sine 25)² / 2×9.8

2.9 = u² × (0.4226)²/19.6

Cross multiply

u² × (0.4226)² = 2.9 × 19.6

u² × (0.4226)² = 56.84

Divide both side by (0.4226)²

u² = 56.84/(0.4226)²

u² = 318.27

Take the square root of both side

u = √318.27

u = 17.84 m/s.

Therefore, the initial velocity of the lure is 17.84 m/s.

The statement that is true about electromagnets is that these magnet work only when electric current passed through them.

Electromagnets are called temporary magnets because they do not show magnetic properties all the time.

They only show the magnetic properties when the current is passing through them.

As soon as the current in the Electromagnet stops they stops behaving like a magnet.

This property of temporary magnetism of the Electromagnet allows the Electromagnet to be used in devices like magnetic locks, MRI machines, headphones and loudspeakers.

Material like Copper, nickel and Cobalt are used to create electromagnets.

To know more about electromagnets, visit,

https://brainly.com/question/12555869

#SPJ4

The magnitude of the \(\vec B\) having the components 1.4 , 1.6 , 2.6 on x, y, z axes is 3.36

Then let us write the vector as

           \(\vec B = 1.4 \hat x + 1.6 \hat y + 2.6 \hat z\)

where the component of x in\(\vec B\) is 1.4

           the component of y in \(\vec B\) is 1.6

           the component of z in \(\vec B\) is 2.6

which is similar to the general vector format  

          \(\vec A = A\hat x + B \hat y + C \hat z\)

where A is the component of x axis

          B is the component of y axis

          C is the component of z axis

The formula to find the magnitude of \(\vec B\) is

              \(\displaystyle |\vec B | = \sqrt{A^{2}+B^{2}+C^{2}}\)

Let us substitute the known values in the above equation , we get

             \(\displaystyle | \vec B | = \sqrt{1.4^{2}+1.6^{2}+2.6^{2}}\)

                  = √(1.96 + 2.56 + 6.76)

                  = √11.28

                  = 3.36

Therefore, the magnitude of the \(\vec B\) is 3.36

Learn more about the magnitude of vectors in

https://brainly.com/question/14033610

#SPJ4

The correct case clause would be A. Case Is >7.

In a Select Case block, the case clauses are used to check different conditions against a selector value. The selector value is compared with each case clause, and the first matching case clause is executed.

To determine which case clause will be true when the selector value is greater than or equal to 7, we need to consider the available options:

A. Case Is >7: This case clause will be true when the selector value is greater than 7.

B. Case Is = 8: This case clause will be true only when the selector value is exactly 8.

Since we are interested in finding the case clause that matches when the selector value is greater than or equal to 7, option A (Case Is >7) is the correct choice. It covers all values greater than 7, including 8 and any other number greater than 8.

For more questions like Selector click the link below:

https://brainly.com/question/28463976

#SPJ11

Answer:

Get Hired

Start a business

rent out your house

Sell online

Take surveys

Explanation:

Answer:

1 can be working with a family member and helping them with their work and earning money from that.

2 getting a job that fits your age limit.

3 doing chores around your home.

4 babysitting your siblings or family member and charging a decent fair price.

5 helping with pets or helping around outside

Explanation:

To answer this question, we need to remember what distance really is. Distance is far something moves in a scalar motion, which is not relative to where she starts out originally.

Since Diane travels around the track 10 times and the track is 400 meters long, she ultimately ends up traveling 4000 meters.

Apparent magnitude should not be used to determine which star is brighter because it is a measure of how bright a star appears from Earth, taking into account its distance and intrinsic luminosity only.

1. Apparent magnitude should not be used as the sole factor to determine which star is brighter because it is a measure of how bright a star appears from Earth, taking into account its distance and intrinsic luminosity.

For example, a star that is relatively close to Earth but has a lower intrinsic brightness could appear as bright as or even brighter than a more distant star with a higher intrinsic brightness. This is because the closer star's light has less distance to travel and is less dispersed, making it appear brighter despite its lower intrinsic luminosity.

To determine which star is brighter, in addition to apparent magnitude, we need to consider other factors:

a. Absolute Magnitude

b. Spectral Type

c. Distance

d. Light Intensity

Learn more about star here:

https://brainly.com/question/13046284

#SPJ4

Answer:

Beta Particles

Explanation:

A 52-newton tension force pulls down on the branch, and a 52-newton tension force pulls up on the bird feeder.

What is tension ?

The tension force is defined as the force that is transmitted through a rope, string or wire when pulled by forces acting from opposite sides. The tension force is directed over the length of the wire and pulls energy equally on the bodies at the ends.

Tension is the opposite of compression force. All the objects that are present in contact with each other exert a force on each other. The best example of a tension force can be seen while pulling a rope. When a pull force is applied to the rope, a significant amount of tension gets built.

Learn more about tension force here :-

https://brainly.com/question/2287912

#SPJ1

Answer:

Newtons law of gravity I think

In Chapter 10 of the book Leader Within You 2.0 by Maxwell, the author emphasizes on the importance of persistence. He highlights that persistence is necessary for attaining success in any area of life. It is particularly important for leaders who are looking to bring change or innovate.

Persisting through challenges and obstacles is crucial because it is inevitable that these challenges will arise. Maxwell provides various examples of famous leaders who persisted through difficult times. He notes that leaders should not be discouraged by failure and that they should use it as an opportunity to learn from their mistakes and grow

Additionally, leaders should not be afraid to take risks because it is impossible to achieve success without taking risks. Maxwell concludes the chapter by emphasizing that persistent people never give up and that persistence is key to reaching success.

Learn more about leader's success at

https://brainly.com/question/14705193

#SPJ11

Given,

The current, I=0.25 A

The total charge flowing in the circuit is q=6812 C.

The electric current can be defined as the time rate of flow of the charges.

Thus, the electric current is given by,

Where t is the time duration.

Thus the batteries will fry out after 27248 s

Answer:

A

Explanation:

it should be 70 times ten^-5

Answer:

A. 70 x 10^6m

Explanation:

In Hubble's Law demonstrates that as the distance between a galaxy and us increases, the speed at which it appears to recede also increases. This observation supports the idea of an expanding universe, which is a key aspect of the current understanding of the cosmos.

Hubble's Law states that the more distant a galaxy is, the faster it appears to be receding from us. This observation is based on the redshift of light emitted by distant galaxies, which is the stretching of the wavelength of light towards the red end of the spectrum as the galaxy moves away from us. The relationship between the recessional velocity (how fast a galaxy is moving away) and its distance can be described by the equation:
Recessional velocity = Hubble constant × Distance
The Hubble constant (H0) is a value that represents the rate of expansion of the universe, measured in kilometers per second per megaparsec (km/s/Mpc).
In Hubble's Law demonstrates that as the distance between a galaxy and us increases, the speed at which it appears to recede also increases. This observation supports the idea of an expanding universe, which is a key aspect of the current understanding of the cosmos.

To learn more about Hubble's Law.

https://brainly.com/question/7900085

#SPJ11

The device that converts chemical energy into electrical energy is a battery.

On the other hand, the resistor is a passive element that is mainly used to limit the current in a circuit.

A resistor doesn't convert chemical energy into electrical energy.

Therefore, we can conclude that the given statement is false