1. Write a scatterplot to explain the approximate relationship
between the two variables
2. Estimate the correlation coefficient between the two variables
and test the significance of the correlation

Answer:

Nowadays, they can study the geologic record and use radioactive dating, seismic surveys, and other technologies to construct maps of how the world looked at various points in Earth's history.

Momentum is never created or destroyed. It's conserved. The total amount after a collision is the same as it was before the collision.

In this scenario, the total is 10 kg-m/s before the collision, so it's going to be 10 kg-m/s after.

Ball 2 has 4 kg-m/s, so Ball 1 has the other 6 kg-m/s of momentum.

Answer:

A book on its side exerts a greater force.

Explanation:

Pressure = Force / Area

Assuming that 1kg = 10N

2kg = 20N

Area of book lying flat = 0.3m × 0.2m

                                     = 0.6m²

Pressure of book lying flat = 20N / 0.6m²

                                            = 30Pa (1 s.f.)

Area of book on its side = 0.2m × 0.05m

                                        = 0.01m²

Pressure of book on its side = 20N / 0.01m²

                                               = 2000Pa (1 s.f.)

Since 2000Pa (1 s.f.) > 30Pa (1 s.f.), a book on its side applies greater pressure than lying flat.

Capacitance can be increased by increasing the surface area of the conductive plates, decreasing the distance between the plates, or by using a dielectric material with a higher dielectric constant.

Capacitance can be increased by either increasing the surface area of the conductive plates or decreasing the distance between them. Additionally, using a material with a higher dielectric constant can also increase the capacitance. Lastly, adding more plates in parallel can increase capacitance.
Capacitance can be increased by increasing the surface area of the conductive plates, decreasing the distance between the plates, or by using a dielectric material with a higher dielectric constant

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Answer:

Energy = 18.3 Kilowatt-hour

Explanation:

Given the following data;

Power = 1220 Watts

Time = 30 * 30 = 900 minutes to hours = 900/60 = 15 hours

To find the energy consumption;

Power can be defined as the energy required to do work per unit time.

Mathematically, it is given by the formula;

\( Power = \frac {Energy}{time} \)

Making energy the subject of formula, we have;

Energy = power * time

Energy = 1220 * 15

Energy = 18300 Joules

To convert energy to Kilowatt-hour;

Energy = 18300/1000

Energy = 18.3 Kilowatt-hour

Answer:

v=28.28m/s t=14.14s average velocity =2m/s

Explanation:

Starting at rest the initial velocity is 0 substituting that in the first equation of motion v=u+atgives the final velocity but we first have to determine the time using the third equation of motion which is s=ut+1/2at^2 and then do the substitution. Average velocity is the determined by adding the initial and final velocity then divide it by 2

Models 1 and 2 are useful for understanding how sound and light waves travel through different mediums.

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The angle necessary to keep a 10 kg box motionless, given a coefficient of static friction of 0.55 between the box and the ramp, is 33.4°, which corresponds to Option A.

To determine the angle, we can use the relationship between the coefficient of static friction, the angle of the incline, and the gravitational force acting on the box. The maximum static friction force can be calculated using the formula:

Friction force = coefficient of static friction * Normal force

The Normal force can be found by decomposing the gravitational force acting on the box into components parallel and perpendicular to the incline. The perpendicular component (Normal force) is equal to the weight of the box (mass * gravitational acceleration).

Since the box is motionless, the friction force must be equal to the component of the gravitational force acting parallel to the incline:

Friction force = Component of weight parallel to incline

By substituting the given values and solving for the angle, we find:

coefficient of static friction = tan(angle)

angle = arctan(coefficient of static friction)

angle = arctan(0.55) ≈ 33.4°

Therefore, the correct answer is Option A, 33.4°.

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The rotor is in the position shown and the current in the rotor loop is as shown. If we replace the loop with a bar magnet having the same magnetic field, the direction the north magnetic pole of the bar magnet point would point towards the left side.

Since the rotor is in the position as shown, we can find the direction of the magnetic field of the loop using the right-hand rule. We wrap our fingers in the direction of the current in the loop, and the direction of the thumb gives the direction of the magnetic field. Using this, we see that the magnetic field direction is towards the left. That is, the left side of the rotor is the north pole and the right side is the south pole.

Now, when we replace the loop with a bar magnet having the same magnetic field, we can see that the direction of the north pole of the bar magnet will be towards the left side. Therefore, the north magnetic pole of the bar magnet would point towards the left side.

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When the motor starts to move the block, it is not possible to determine which statement is true without more information about the system. The accuracy of the motion and the energy required to move the block can depend on factors such as friction, the mechanical design, and the specific conditions of the system.

Without more information about the specific situation, it is impossible to determine which statement is true. Factors such as the weight of the block, the surface it is moving on, and any external forces can all affect the accuracy and energy required for the motion in either direction. An electrical device that converts electrical energy into mechanical energy is known as an electric motor. The majority of electric motors generate force in the form of torque that is applied to the motor's shaft through the interaction of the motor's magnetic field and electric current in a wire winding. It is a gadget used to change over power into mechanical energy — inverse to an electric generator. They work utilizing standards of electromagnetism, which shows that power is applied when an electric flow is available in an attractive field.

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Answer:

It is 3 m/s² downward.

Explanation:

The mass of an object, m = 30 kg

Upward force, F = 200 N

Downward force, F' = -300 N

We need to find the magnitude and direction of its acceleration.

Net force = F+F'

= 200+(-300)

= -100 N

We know that,

Force, F = ma, a is acceleration of the object

\(a=\dfrac{F}{m}\\\\a=\dfrac{-100}{30}\\\\a=-3.33\ m/s^2\approx -3\ m/s^2\)

Hence, the acceleration is -3 m/s² and it is acting in the downward direction.

Answer:

13.33 g/cm3

Explanation:

density = mass/volume

mass of irregular body = 800 grams

new volume = 60 cube cm

= density = 800/60  = 13.333 g/cm3

Answer:

x = 45 [m]

Explanation:

To solve this problem we must use the following kinematics equation:

\(v_{f}^{2} = v_{i}^{2}-(2*a*x)\)

where:

Vf = final velocity = 0

Vi = initial velocity = 15 [m/s]

a = desacceleration = 2.5 [m/s^2]

x = distance [m]

Note: the negative sign in the equation above, is because the car slows down.

0^2 = 15^2 - (2*2.5*x)

2*2.5*x = 15^2

x = 45 [m]

Answer:

Sample Response: The data for the first part of the experiment support the first hypothesis. As the height of the cylinder increased, the temperature of the water increased. At a greater height, the cylinder has more gravitational potential energy. This gravitational potential energy was completely converted to thermal energy, which increased the temperature of the water.

Explanation:

this the sample response from ED mechanical equivalent of heat lab.

Answer:

Sample response:

Explanation:

The data for the first part of the experiment support the first hypothesis. As the height of the cylinder increased, the temperature of the water increased. At a greater height, the cylinder has more gravitational potential energy. This gravitational potential energy was completely converted to thermal energy, which increased the temperature of the water.

Answer:

The first one is Earths Tilt on its axis

Answer:   Burning of wood is a chemical change while cutting of wood is a physical change because during burning, new substances are formed. After burning, we cannot get original substance, (i.e. wood) back. Cutting of wood into small pieces is a physical change because no new substance is formed.

Answer:

1. 431.2newtons

2. 1.47meters per second squared

Explanation:

f=ma

force of friction=normal force×coefficient of friction

normal force = mass× gravity

1.

nf=110kg × 9.8m/s^2 = 1078newtons

f=nf×cf

f=1078×.4=431.2

1

f=1078×.25=269.5

431.2-269.5=161.7

161.7=110kg× a

a=1.47

Answer:

5N NORTH

Explanation:right on edge

Answer:

D. The total amount of energy at the bottom is equal to the amount at the top, but he gained some energy as he traveled due to a higher speed.

Explanation:

The total amount of energy at the bottom is equal to the amount at the top, but some energy was converted into other forms due to friction.

Therefore the correct answer is option B.

The sum of all the energy in motion (total kinetic energy) and all the energy that is stored in the system (total potential energy) is known as mechanical energy.

The expression for total mechanical energy can be given as follows

ME= PE + KE

As given in the problem Jacob is riding his bike down a tall hill. At the top of the hill, he has 2800J of potential energy. At the bottom of the hill, when he is going the fastest, his kinetic energy measures 2650J.

However, some energy was changed into other forms owing to friction, so the total quantity of energy at the bottom is equal to the whole amount at the top.

Thus, option B is the appropriate response,

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Answer:B

Explanation:

Being familiar with the different types of galaxies that exist in the universe is the action which might lead the scientists to develop new explanations about the universe. Thus, the correct option is D.

Many religious person, including many great scientists, hold that the God has created the universe and the various processes which are the driving physical and biological evolution and that these processes then resulted in the creation of the different galaxies, the solar system, and life on the planet Earth.

The Big Bang theory states that the universe came into being from a single, unimaginably hot and dense point more than about 13 billion years ago. This did not occur in an already existing space. Rather, it initiated from the expansion and cooling of space itself.

Therefore, the correct option is D.

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Answer: The executive board of the International Olympic Committee voted yesterday to allow professional tennis, ice hockey and soccer players under the age of 23 to compete in the 1988 Winter and Summer Games.

The magnitude of the electric field at a perpendicular distance of 0.401 m away from the center of the wire 2.28 × 10⁻⁷ N / C.

Given data:

Total electrons, q = 5.05 × 106

Electrical charge, e = 1.6 × 10⁻¹⁹ C

Length of the wire, L = 1.33 m

Perpendicular distance from the center of the wire,

r = 0.401 m

To find: Magnitude of the electric field at a perpendicular distance of 0.401 m away from the center of the wire.

The magnitude of the electric field at a perpendicular distance of 0.401 m away from the center of the wire can be given by the following formula;

E = kq / r,

where k is Coulomb's constant and its value is k = 9 × 10⁹ N m² / C²

Let's plug in the values;

k = 9 × 10⁹ N m² / C²

q = 5.05 × 10⁶ e (1.6 × 10⁻¹⁹ C / e)

q = 8.08 × 10⁻¹³ C

E = kq / r

E = 9 × 10⁹ × 8.08 × 10⁻¹³ / 0.401

E = 2.28 × 10⁻⁷ N / C

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The potential difference between the plates is 2156V Plate B has the higher potential because the electron moves from A to B as it acquire its own kinetic energy.

Given kinetic energy of electron (KE) = 3.45×10^−16 J

The electron is accelerated from plate A to plate B by an electric field.

We know kinetic energy = charge of electron x potential difference.

So, KE = -qV where q = 1.6 x 10^-19C which is charge of electron.

-3.45×10^−16 = -1.6 x 10^-19 x V

V = 3.45×10^−16/1.6 x 10^-19 =  2156V

Sine the potential difference is positive we can say that plate B has higher potential that plate A.

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A total of 70 joules of work is done when a 35-newton force lifts a crate to a loading dock 2 meters high.

The amount of work done can be calculated using the formula:

work = force x distance x cos(theta)

where force is the applied force, distance is the distance moved in the direction of the force, and theta is the angle between the force vector and the displacement vector.

In this scenario, the force is 35 newtons, the distance is 2 meters (the height the crate is lifted), and the angle between the force vector and the displacement vector is 0 degrees (because  the force is directly upwards and the displacement is also upwards).

Therefore, cos(Ф) = 1.

Substituting  in these values, we get:

work = 35 newtons x 2 meters x 1

work = 70 joules

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(1) the determined power output of the heat engine is  1075.66kJ/min.

(b) the temperature of the source 676.891 K.

η = 55%

T = 15 degree = 288K

Q' = 800 btu/ mint

To calculate Q

η = 1 - Q'/Q

0.55 = 1 - (800 x1.05506)/Q

(∵ 1 btu = 1.05506 kJ )

btu = British thermal unit

then

0.55 = 1 - (800 x 1.05506)/Q

Q = 1875.66kJ/min

To calculate output work

W = Q - Q' = 1075.66kJ/min.

b) Temperature of the source is given as:

T ∝ Q

T/T' = Q/Q'

T'  = 60F = 288.705556 K

Then

T/288.705556 K = 1875.66 /800

T = (1875.66 x 288.705556) /800

T = 676.891 K

(1) the determined power output of the heat engine is 1075.66kJ/min.

(b) the temperature of the source 676.891 K.

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The average acceleration of the jetliner during landing can be calculated using the formula:

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

Initial velocity (u) = 69 m/s (northward)

Final velocity (v) = 5.1 m/s (northward)

Distance (d) = 750 m

First, we need to find the time taken (t) using the formula:

t = d / average speed

Average speed = (initial velocity + final velocity) / 2

Average speed = (69 m/s + 5.1 m/s) / 2 = 37.05 m/s

t = 750 m / 37.05 m/s = 20.26 s

Now we can calculate the average acceleration:

average acceleration = (v - u) / t

= (5.1 m/s - 69 m/s) / 20.26 s

≈ -3.469 m/s² (southward)

The average acceleration of the jetliner during landing is approximately -3.469 m/s² in the southward direction. This is calculated using the initial velocity of 69 m/s (northward), final velocity of 5.1 m/s (northward), and a distance of 750 m.

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Answer:

the answer is a) chunks of ice that begin to vaporized if they pass close to the sun

The electrons making the shock come from the women's body.

When a high voltage current flows through the body, electrical shock results. When someone unintentionally touches an electrical source, this typically occurs. Treatment for both internal and exterior burns may be necessary as part of the aftercare.

The nervous system may be impacted by a shock.

The tissue that makes up nerves presents extremely minimal resistance to the flow of an electric charge. Electric shocks that impact nerves can cause pain, tingling, numbness, weakness, or trouble moving a limb. These effects might disappear with time or remain for good.

How to Prevent from Electrical Shocks –

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Answer:  don´t know

Explanation:

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