Graph each equation on the same set of axes so you can visually compare the payment methods. Let the horizontal axis be the number of days swimming, x, and the vertical axis the cost in dollars, y.

Answer:

Explanation:

a) KE = (1/2) * m * (\(v^{2}\)) = F * d = 14m * 200N = 2800 m/N or 2.8 * \(10^{3}\) m/N

b) 0J and 0m/s (if Marcella stopped after going 14 meters)

c)  Known from part (a) that KE = 2800 J = F1 * d1,

    2800J = F1 * (14m - 1m)  => F1 = 2800J/13m = 215.384 N

Answer:

The children were tired because they were swimming in the pool all afternoon​.

Explanation:

Answer:

power

Explanation:

Answer:

power

Explanation:

Answer:

B.

Divide the height of the valley walls by the rate of erosion.

Explanation:

There is a relationship between the rate of erosion and the hieght at which it is eroded according to Newton's law of motion. In the case of the scenario above, the best way to determine the time the river started carving the valley would be the division of the height of the valley walls by the rate of erosion.

Answer:

The position of the object at \(t = 5\,s\) is 130.167 meters.

Explanation:

Let \(a(t) = 5\cdot t\,\left[\frac{m}{s^{2}} \right]\) the acceleration experimented by the object along the x-axis. We obtain the equation for the position of the object by integrating in acceleration formula twice:

Velocity

\(v(t) = \int {a(t)} \, dt\) (1)

\(v(t) = 5\int {t} \, dt\)

\(v(t) = \frac{5}{2}\cdot t^{2}+v_{o}\) (2)

Where \(v_{o}\) is the initial velocity of the object, measured in meters per second.

Position

\(s(t) = \int {v(t)} \, dt\) (3)

\(s(t) = \frac{5}{2}\int {t^{2}} \, dt+v_{o}\int \, dt\)

\(s(t) = \frac{5}{6}\cdot t^{3}+v_{o}\cdot t + s_{o}\) (4)

Where \(s_{o}\) is the initial position of the object, measured in meters per second.

If we know that \(s_{o} = 6\,m\), \(v_{o} = 4\,\frac{m}{s}\) and \(t = 5\,s\), then the position of the object is:

\(s(5) = \frac{5}{6}\cdot (5)^{3}+\left(4\right)\cdot (5)+6\)

\(s(5) = 130.167\,m\)

The position of the object at \(t = 5\,s\) is 130.167 meters.

Answer:

66 m/s

Explanation:

v=u+at

= 0 + 5.5 * 12

= 66 m/s

Speed = distance / time

Part 1: 40 km at 80 km per goir = 0.50 hours

Part 2: 40 km at 40 km per hour = 1 hour

The time of the trip was 1.5 hours

Total distance was 40 + 40 = 80 ins.

Speed = distance / time = 80/1.5 = 53.33 km/he ( round answer as needed)

Answer:

6 km is the right answer

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Explanation:

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The average acceleration of the motorcycle over the given distance is approximately 9.39 m/s².

To calculate the average acceleration of the motorcycle, we can use the formula:

Average acceleration = (final velocity - initial velocity) / time

First, let's convert the final velocity from km/h to m/s since the distance is given in meters. We know that 1 km/h is equal to 0.2778 m/s.

Converting the final velocity:

Final velocity = 78 km/h * 0.2778 m/s = 21.67 m/s

Since the motorcycle starts from rest (initial velocity is zero), the formula becomes:

Average acceleration = (21.67 m/s - 0 m/s) / time

To find the time taken to reach this velocity, we need to use the formula for average speed:

Average speed = total distance/time

Rearranging the formula:

time = total distance / average speed

Plugging in the values:

time = 50 m / 21.67 m/s ≈ 2.31 seconds

Now we can calculate the average acceleration:

Average acceleration = (21.67 m/s - 0 m/s) / 2.31 s ≈ 9.39 m/s²

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At this precise moment, the person's speed is decreasing.

The energy that is required by the space probe is 2.94 * 10^14 J.

Let us recall that the gravitational potential energy is the energy that is possessed by a body by virtue of the position of the body in space. We know that the energy that is possessed by the space probe is the gravitational potential energy and we have to obtain the energy required.

Recall that energy required = Work done = mgh

m = mass of the object

g = acceleration due to gravity

h = distance covered

Then;

100-kg * 9.8 m/s^2 *  3 × 10^11 m

= 2.94 * 10^14 J

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Speed can be defined as the change in distance with respect to time.

The speed is the change in distance with the time and velocity is the change in displacement with the time. Speed is a scalar quantity having magnitude only and Velocity is a vector quantity having magnitude as well as direction.

If the velocity of the object is changing, it shows that the object is accelerating.

Inertia is a resistance of an object to resist a change in its state of motion or of rest. If a ball is rolled, it will continue rolling unless friction or something else stops it by force.

Some common forces are gravitational forces, electric forces, magnetic forces, nuclear forces, etc. Gravitational forces act between the earth and the object, it is an attraction force. Similarly, there is an electric force, which acts between the two charges, it can be attractive or repulsive.

The forces that are opposite in direction and equal in size, are known as balanced forces. This can be explained as forces acting horizontal, and the forces are balanced, so the left-sided forces and right-sided forces must be equal.

Power can be defined as the measure of the amount of work that can be done in a given amount of time. Power is work done per unit time.

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Answer:

The potential between the plates will decrease.

Explanation:

An insulator is usually placed between the parallel plates and is also called a dielectric because it makes the amount of charge a capacitor can accommodate to increase at a particular potential difference.

Furthermore, the dielectric effect will make the electric field of the charged capacitor which is not connected to a source of supply to decrease.

Now, when the battery is removed, the charge Q remains constant and Capacity C will increase.

Formula for the potential difference is here;

V = Q/C

Since the numerator Q is constant and the denominator C increases, it means the potential difference V will decrease

The strength of the electric field at that point and the force would this charge experiences at that point will be 4.587 N/C and  12.38 N.

The electric field strength is defined as the ratio of electric force to charge.

Given data;

q₁ = 5.4 C

F₁ is the electric force in case1

E is the electric field =?

F₂ is the electric force in case 2

q₂ is the charge 2

The strength of the electric field at that point is;

F₁=Eq₁

E₁=F/q₁

E₁=25.0 N / 5.4 C

E₁=4.587 N/C

The force would this charge experience at that point when the charge is 2.7 C;

F₂=Eq₂

F₂=4.587 N/C × 2.7 C

F₂ = 12.38 N

Hence the strength of the electric field at that point and the force would this charge experiences at that point will be 4.587 N/C and  12.38 N.

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The P-waves are the primary waves that are the fastest and the first to arrive at the seismometer.

Seismic waves, which are vibrations caused by the movement of the Earth's crust, are recorded at various locations after an earthquake has occurred. The type of seismic waves recorded at a particular location depends on its distance from the epicenter (point X) of the earthquake.

There are two main types of seismic waves: body waves and surface waves. Body waves, such as P-waves and S-waves, travel through the Earth's interior and can be recorded at any location. Surface waves, such as Love waves and Rayleigh waves, travel along the Earth's surface and are typically recorded closer to the epicenter.

The P-waves are the primary waves that are the fastest and the first to arrive at the seismometer. The S-waves are the secondary waves that are slower and arrive later than P-waves.

In general, the closer a location is to the epicenter, the stronger and more frequent the seismic waves will be.

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Answer:

21560 J

Explanation:

Work = mg*h = 1100*9.8*2 = 21560 J

21560 J work must be done to raise an 1100 kg car 2m above the ground.

Work = mass * gravity * height

= 1100 * 9.8 * 2

= 21560 J

In precis, work is carried out whilst pressure acts upon an item to purpose a displacement. 3 portions must be regarded in the way to calculate the quantity of work. The ones 3 portions are force, displacement, and the perspective between the pressure and the displacement.

Paints carried out are elaborated in this type of manner that includes both forces exerted on the body and the whole displacement of the body. This block is preceded by a steady force F. The purpose of this pressure is to move the body a certain distance d in an immediate route in the route of the pressure.

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The magnitude of the electric flux through the sheet is 4.05 N m² C⁻¹ (Option E).

The electric flux through a surface is given by the product of the electric field strength and the area of the surface projected perpendicular to the electric field.

In this case, the electric field strength is 18 N C⁻¹, and the area of the sheet projected perpendicular to the electric field is 0.450 m²

(since the normal to the sheet makes an angle of 60° with the electric field). Multiplying these values gives the electric flux:

Electric flux = Electric field strength × Area

Electric flux = 18 N C⁻¹ × 0.450 m²

Electric flux = 8.1 N m² C⁻¹

In summary, the magnitude of the electric flux through the sheet is 4.05 N m² C⁻¹. This value is obtained by multiplying the given electric field strength by the projected area of the sheet perpendicular to the electric field.

The angle of 60° is taken into account to determine the effective area for calculating the flux.(Option E).

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Answer:

I think it might be (a) if that helps

Answer:

Factors Affecting the Strength of the Magnetic Field of an Electromagnet: Factors that affect the strength of electromagnets are the nature of the core material, strength of the current passing through the core, the number of turns of wire on the core and the shape and size of the core

Explanation:

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The following factors affect the strength of an electromagnet; number of turns, wire size, current and the presence of iron core.

This is a type of magnet  in which the magnetic field is produced by an electric current.

The following factors affect the strength of an electromagnet;

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The convertion between minutes to second can be calculated by:

\(8\frac{1}{3} minutes = 8\frac{1}{3} . 60s =500s\)

The convertion between km to meter can be calculated by:

150,000,000 km = 150,000,000 x 1,000 = \(1.5x10^{11}\)m

The, the speed of light in m/s is \(\frac{1,5x10^{11} }{500}= 3x10^{8}\) m/s

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Answer:

We apply an electric field in the negative y direction

Explanation:

Since A uniform magnetic field is in the positive z direction and A positively charged particle is moving in the positive x direction through the field, the magnetic force acting on the positively charged particle is in the positive y direction according to Fleming's right-hand rule.

For the net force on the particle to be zero, we apply an electric field in the negative y direction to create an electric force on the positively charged particle, so as to cancel out the magnetic force.

Answer:

A

Explanation:

Answer:

198.9 x 10^-16

Explanation:

E = hc/ wavelength

E =(6.63 x 10^-34 x 3 x 10^8)/(0.01 x 10^-9)

E = 198.9 x 10^-16