General kinematics problem.

"Anna is returning from vacation driving down the Sunshine Highway. She travels for a stretch (SA) at a speed of 110 km/h. Then, due to an increase in traffic, Anna is forced to reduce her speed by travelling the second part of the journey (SB) at 60 km/h. The total distance and duration of the trip are 350 km and 4.0 hours respectively.
-> Calculate the time intervals needed to travel SA and SB
-> Calculate the distances covered in the two sections SA and SB".

The results I should get by doing the exercise are in the attached picture.

If you could explain the various steps in the problem you would be doing me a huge favor. Thanks!​

Answer:    

Soil absorbs heat faster than sand, which absorbs heat faster than water. The air over Earth's surfaces absorbs heat from the materials of Earth.

Explanation:

Land surfaces absorb much more solar radiation than water. ... Water reflects most solar radiation that reaches its surface back to the atmosphere. Since land absorbs more solar radiation the land surface retains more heat as do the vegetation for energy. Thus, land surfaces warm more quickly than water.

Hope this helps!     Thank you,

Soil absorbs heat faster than sand, which absorbs heat faster than water. The air over Earth's surfaces absorbs heat from the materials of Earth.

When solar radiation strikes the earth's surface, land surfaces absorb the energy differently than ocean surfaces. They both heat up and cool down at different speeds.

Water takes longer to heat than land, but once heated, it keeps its heat for a longer period of time.

Land surfaces absorb far more solar energy than water. The majority of solar energy that reaches the surface of the water is reflected back into the atmosphere.

Because land absorbs more solar radiation, the land surface retains more heat, as does vegetation. As a result, terrestrial surfaces warm faster than water.

Hence soil absorbs heat faster than sand, which absorbs heat faster than water. The air over Earth's surfaces absorbs heat from the materials of Earth.

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Answer:

Elastic potential energy

Explanation:

Answer:

elastic energy

Explanation:

In Gloria's experiment, the dependent variable refers to the variable that is being measured or observed and is expected to change in response to the independent variable. The independent variable is the variable that is deliberately manipulated or changed by the experimenter.

In this case, Gloria is investigating how different kinds of wheels accelerate down a ramp. The dependent variable in her experiment would be the "Acceleration of Wheel." This is because Gloria is interested in observing and measuring how the wheels accelerate, which is the outcome or result she wants to analyze.

The independent variable, on the other hand, would be the "Type of Wheel." Gloria is deliberately changing and manipulating the type of wheel used in her experiment to see how it affects the acceleration. By comparing the acceleration of different types of wheels, she can determine whether the type of wheel has an impact on the acceleration down the ramp.

The other variables mentioned, "Radius of Wheel" and "Steepness of Ramp," are not specifically mentioned in the question as potential variables that Gloria is investigating. Therefore, they are not relevant to determining the dependent variable in this particular experiment.

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The given differential equation is:

dQ/dt = -0.04Q

where Q is the quantity of the toxic chemical and t is time in years.

To solve this differential equation, we can use separation of variables:

dQ/Q = -0.04 dt

Integrating both sides, we get:

ln|Q| = -0.04t + C

where C is the constant of integration. To find the value of C, we can use the initial condition that the initial leak is 60 kg:

ln|60| = -0.04(0) + C

C = ln|60|

Substituting this value of C back into the general solution, we get:

ln|Q| = -0.04t + ln|60|

Simplifying, we get:

ln|Q/60| = -0.04t

Exponentiating both sides, we get:

Q/60 = e^(-0.04t)

Multiplying both sides by 60, we get the final solution:

Q = 60e^(-0.04t)

Therefore, the quantity of the toxic chemical present at any time t (measured in years) after the initial leak is:

Q(t) = 60e^(-0.04t)

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The circuit element with the greatest voltage drop is R3 (resistor 3).

To determine the voltage drop across each resistor, we can use Ohm's Law, which states that V = IR, where V is voltage, I is current, and R is resistance.

First, we can find the total resistance of the circuit by adding the resistances of all three resistors:

R_total = R1 + R2 + R3

R_total = 10 + 20 + 30

R_total = 60 ohms

Next, we can find the total current flowing through the circuit by using Ohm's Law again, but this time solving for I:

I = V / R_total

I = 12 / 60

I = 0.2 amps

Now, we can find the voltage drop across each resistor by multiplying its resistance by the total current:

V_R1 = R1 * I

V_R1 = 10 * 0.2

V_R1 = 2 volts

V_R2 = R2 * I

V_R2 = 20 * 0.2

V_R2 = 4 volts

V_R3 = R3 * I

V_R3 = 30 * 0.2

V_R3 = 6 volts

Therefore, the circuit element with the greatest voltage drop is R3 (resistor 3), which has a voltage drop of 6 volts.

The voltage drop across each resistor in a circuit is proportional to its resistance. In this circuit, R3 has the greatest resistance and therefore has the greatest voltage drop.

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The maximum moisture capacity is 175 grains of moisture per pound of dry air.

A psychrometer is an instrument used to measure atmospheric humidity, particularly relative humidity. In meteorology, a wet-bulb temperature is used in conjunction with the dry-bulb temperature to measure relative humidity (RH).

(a) Relative Humidity:

Relative humidity can be determined by first calculating the saturation vapor pressure at the wet-bulb temperature, then dividing the actual vapor pressure by the saturation vapor pressure. RH = (e/e s) x 100%, where es is the saturation vapor pressure.

As a result, RH = (e/e s) x 100%, where e is the actual vapor pressure.

To find the saturation vapor pressure at the wet-bulb temperature, use the tables,

RH = (e/e s) x 100%.RH

    = (e/e s) x 100%RH

    = (6.18/9.72) x 100%RH

    = 63.4%

(b) Dew Point:

The temperature at which dew or frost would form if the air were cooled is the dew point temperature. To get the dew point, use the psychrometric tables.

Dew point = 73°F (approx).

It can also be computed using the equation

Dp = (b x ln(e/6.112))/(ln(6.112/Td + 0.4343) - ln(e/6.112)),where b is a constant, b = 17.27, Td is the dew-point temperature, e is the vapor pressure in the air, and ln is the natural logarithm function.

Dew point can also be determined using this equation.

Dew point = 73°F (approx)

(c) Maximum Moisture Capacity:

The maximum quantity of water that may be absorbed into the air at a specified temperature is known as maximum moisture capacity. At 85°F dry bulb temperature, the maximum moisture capacity is 175 grains of moisture per pound of dry air.

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The urban legend of the car thief is an example of A Cautionary Tale.

A cautionary tale makes reference to a given tale aimed at the warning the person of some type of danger, which is generally used to alert about a given behavior and may be very useful to modify a behavior pattern in children.

Therefore, with this data, we can see that A cautionary tale is based on warning and can help to modify certain behavior in c children depending on the ability to create conscious.

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As electromagnet are temporary magnets so we can easily change its properties. An electric bell uses an electromagnet which is not a permanent magnet.So the given statement in the problem that a permanent magnet is used in an electric bell is false

Answer:

GALELOI GALELEI:HE WAS A FAMOUS SCIENTIST WHO MADE PENDULAM ALSO HE EXPLAINED THE MOTION AND INERTIA

ISAAC NEWTON:3 LAWS OF MOTION,3 FORMULAS OF MOTION,GRAVITY

Question 1.

A stereo with a resistance of 65 Ω is connected across a potential difference of 140 V. What is the current in this device?

Answer :-

Resistance = 65 Ω

Potential difference = 140V

where, I denotes Current, V denotes potential difference and R denotes the resistance

substituting the values,

\(\: :\implies \) I = 140/65

\(\: :\implies \) I = 2.15 Ampere

Therefore, 2.15 ampere is the required current in the device.

Question 2

A 1150 W electric toaster operates on a household circuit of 100 V. What is the resistance of the wire that makes up the heating element of the toaster?

Answer :-

We know that,

where, P denotes Power , I denotes Current and V denotes the potential difference.

Substituting the values,

\(\: :\implies \) 1150 = I × 110

\(\: :\implies \) 1150/100 = I

\(\: :\implies \) 11.5 = I

Required current = 11.5 A

Now,

where, R denotes resistance, V denotes potential difference

and I denotes the Current.

Substituting the values,

\(\: :\implies \) R = 110/1.5

\(\: :\implies \) R = 8.69 Ω

Therefore, 8.69Ω is the required resistance of the wire that makes up the heating element of the toaster

the drawdown at each distance from the well after 1 day of pumping.

calculate the drawdown at different distances from the well, we can use the Theis for equation confined aquifers:

s = (Q / (4πT)) × W(u)

where:

s is the drawdown at a certain distance from the well,

Q is the pumping rate (28 m³/day),

T is the transmissivity of the confined aquifer (3.8 m²/day),

W(u) is the well function that depends on the dimensionless distance u.

The well function W(u) can be calculated

W(u) =\((1 / u) × e^(u^2) × erfc(u)\)

where:

u = (r²S) / (4Tt)

r is the distance from the well,

S is the\(storativity\) of the confined aquifer (0.0035),

t is the time of pumping in days,

(u) is the complementary error function.

Now let's calculate the drawdown at the given distances of 1.5 m, 5.5 m, 10 m, 25 m, 75 m, and 150 m after 1 day of pumping.

Assuming the well is located at the origin (0,0) in a radial system:

For r = 1.5 m:

u = (1.5² × 0.0035) / (4 × 3.8 × 1)

Calculate W(u) and substitute the values into the Theis equation to find s.

For r = 5.5 m:

u = (5.5² × 0.0035) / (4 × 3.8 × 1)

Calculate W(u) and substitute the values into the Theis equation to find s.

For r = 10 m:

u = (10² × 0.0035) / (4 × 3.8 × 1)

Calculate W(u) and substitute the values into the Theis equation to find s.

For r = 25 m:

u = (25² × 0.0035) / (4 × 3.8 × 1)

Calculate W(u) and substitute the values into the Theis equation to find s.

For r = 75 m:

u = (75² × 0.0035) / (4 × 3.8 × 1)

Calculate W(u) and substitute the values into the Theis equation to find s.

For r = 150 m:

u = (150² × 0.0035) / (4 × 3.8 × 1)

Calculate W(u) and substitute the values into the Theis equation to find s.

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.

A constant net force of 300 n is applied to a motorcycle and a rider with a total mass of 400 kg so, 3.75 m/sec much faster will the motorcycle be traveling after 5.0 s.

Force is an external factor that has the ability to change the state of rest or motion of a body. It has a direction and a magnitude. Force is applied at a location known as the application, and the direction in which it is applied is referred to as the force's direction.

Using a spring balance, the force may be measured. Newton is the unit of force in the SI (N).

Given that,

Force (F) = 300 N

Mass (m) = 400 kg

As we know,

F = ma

a = F/m

a = 300/400

a = 3/4 m/sec²

Now, from kinematics,

v = u + at

v = 0 + (3/4 m/sec²) ×5 sec

v = 15/4

v = 3.75 m/sec

Thus, 3.75 m/sec much faster will the motorcycle be traveling after 5.0 s

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Answer:

Several cm of lead

Explanation:

The magnitude of the braking force is 0

What is acceleration?

velocity changes with time at an accelerating rate in both speed and direction. In the case of simple harmonic motion, the spring's elastic force serves as the restoring force. The application of Hooke's law, F = - kx, allowed for its discovery. Here, k is the spring constant and x is the spring's deformation (change of its length from equilibrium position).

We can see that this force is variable and dependent on the mass-spring system's x displacement. The minus sign indicates that the force's direction is the opposite of the displacement, and as a result, the force causes the mass of the back to return to its equilibrium position.

As with any force, restoring force can be calculated using Newton's second law, F = ma, where m is the body's mass and an is its acceleration.

Now we can write:
The body's displacement x is zero when it reaches equilibrium. Acceleration is therefore 0.

By the way, when the amplitude of the this mass-spring system reaches its maximum, the acceleration will be at its maximum value. The mass-spring pendulum swings in the opposite direction at these points. We refer to those as inflection points.

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1.5 gram per cubic centimeter

The electric field strength at points 5 cm, 10 cm, and 20 cm from the center of a uniformly charged ball with a radius of 20 cm and a charge of 82 nC is approximately 1.653 N/C, 0.413 N/C, and 0.103 N/C, respectively.

To calculate the electric field strength at these points, we can use Coulomb's law, treating the ball as a point charge located at its center. By applying the formula E = k * (q / r^2), where E represents the electric field strength, k is the electrostatic constant, q is the charge on the ball, and r is the distance from the center, we can compute the values.

For the first point at 5 cm from the center, the electric field strength is approximately 1.653 N/C. Similarly, at 10 cm from the center, the electric field strength is approximately 0.413 N/C. Lastly, at 20 cm from the center, the electric field strength is approximately 0.103 N/C. These values represent the strength of the electric field at each specified distance from the center of the charged ball.

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Given that a sprinter starting from rest on a straight, level track is able to achieve a speed of 12 m/s in 6.0 s. We are supposed to find the sprinter's average acceleration in m/s^2 (meters per second squared).

Average acceleration is defined as the rate at which an object changes its velocity. It is equal to the change in velocity divided by the time taken. Average acceleration = Change in velocity ÷ Time taken

Here, the change in velocity is equal to the final velocity minus the initial velocity. The initial velocity is zero because the sprinter started from rest.

Final velocity, v = 12 m/s

Time taken, t = 6.0 s

Change in velocity = Final velocity - Initial velocity

= v - u = 12 - 0 = 12 m/s

Average acceleration = Change in velocity ÷ Time taken

= 12 ÷ 6= 2 m/s^2

Therefore, the sprinter's average acceleration is 2 m/s^2 (meters per second squared).

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Answer:410.022779

Explanation: To figure out force, you use the equation F=MA. Well, in this case, you're trying to find M. The mass. All you have to do is rearrange. F=MA turns into A=F/M.

Answer:

Explanation:

Main Answer:

The equation acceleration = v/time can be proven using the fundamental definitions of acceleration, velocity, and time. Acceleration is defined as the rate of change of velocity, and velocity is the rate of change of displacement with respect to time. Let's consider an object moving with an initial velocity v0 and final velocity v in a time interval t.

Explanation:

The change in velocity, Δv, can be calculated as the final velocity minus the initial velocity, Δv = v - v0. Similarly, the change in time, Δt, is the final time minus the initial time, Δt = t - t0.

By substituting these values into the equation for acceleration, we have:

acceleration = Δv/Δt

Now, substituting Δv = v - v0 and Δt = t - t0, we get:

acceleration = (v - v0)/(t - t0)

Since v0 and t0 represent the initial velocity and time, respectively, we can rewrite the equation as:

acceleration = (v - v0)/t

By rearranging the equation, we find:

acceleration = v/t

Thus, we have proved that acceleration is equal to v/time.

Internal Link:

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Answer:

Magnets have two poles, called north and south. The like poles are attracted to unlike poles, but like poles repel each other. For example, the north pole of one magnet is attracted to the south pole of another. ... To make objects move with a magnet attach a piece of metal, or another magnet, to it.

The description of the motion and the gravitational potential energy of the particles are as follows;

26. (2) Energy

27. (4) Work

28. (3) Energy kg·m²/s²

29. (2) Joule

30. (4) a 6.0-kg mass 5.0 m above the floor

31. (3) Gravitational potential energy remain the same and speed decreases

32. (2) B

33. About 9.81 Joules

34. Option (1)

35. (4) The gain is the same along all paths

36. (2) Speed decreases and the gravitational potential energy increases

Gravitational potential energy is the energy a body posses due to its relative posirtion.

26. A scalar quantity is a quantity that has only magnitude but no direction.

The quantity that has only magnitude is energy.

The correct option is (2) Energy

27. Energy is the ability to do work, therefore, work has the same unit as energy. The correct option is therefore;

(4) Work

28. Energy = Force × Distance

Force = Mass × Acceleration

The unit of force is therefore; kg·m/s²

The unit of energy is therefore; m × kg·m/s² = kg·m²/s²

29. Gravitational potential energy, is a form of energy due to elevation, therefore, the unit is the Joule

The correct option is; (2) Joule

30. Gravitational potential energy can be found using the formula;

P.E. = m·g·h

Where;

m = The mass

g = The acceleration due to gravity

h = The height

The greatest gravitational potential is therefore;

6.0 kg × 9.81 m/s² × 5.0 m

The correct option is therefore;

31. The rough horizontal surface decreases the speed. The elevation of the horizontal surface is constant, therefore, the gravitational potential energy remains the same.

The correct option is therefore;

(3) Gravitational potential energy remains the same and speed decreases

32. The gravitational potential energy of the cart is least at the lowest point.

The correct option is; (2) B

33. The gravitational energy with respect to Earth is found as follows;

5.00 kg × 2.00 m × 9.81 ² = 98.1 Joules

34. The equation for the gravitational potential energy is; P.E. = m·g·h

Therefore, P.E. is directly proportional to the distance above the Earth and graph is a straight line passing through the origin

Option (1) is correct

35. The change in elevation is the same for all 5. The correct option therefore is option (4)

(4) The gain is the same along all paths.

36. The speed of the ball decreases when it is thrown upwards, while the gravitational potential energy increases as the height increases, therefore;

(2) Speed decreases and the gravitational potemntial energy increases

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A person standing on the roof of a building drops a 0. 125 Kg ball on the ground. A child on eight floor saw the ball passing with a speed of 33. 1 m/s. There are total eight floor in the building and he kinetic energy of the ball just before it hit the ground was 62.0 J.

To determine the total number of floors in the building, we can first calculate the distance the ball traveled before the child on the eighth floor saw it. We know that the ball was dropped from rest and the speed at which it was observed on the eighth floor was 33.1 m/s. We can use the equation for free fall:

\(h = (1/2)gt^2\)

Where h is the distance fallen, g is the acceleration due to gravity (9.8 m/s^2), and t is the time taken to fall. Rearranging the equation to solve for t, we get:

\(t = sqrt(2h/g)\)

Plugging in the height of the eighth floor (8 x 8 = 64 m), we get t = 3.2 s. This is the time taken for the ball to fall from the roof to the eighth floor.

To determine the total number of floors, we can use the height of the first floor (12 m) and the time taken for the ball to reach the ground from the eighth floor (t = 3.2 s). The distance traveled in this time can be found using the equation for constant acceleration:

\(d = vt + (1/2)at^2\)

Where d is the distance traveled, v is the initial velocity (which is zero in this case), a is the acceleration due to gravity (-9.8 m/s^2), and t is the time taken. Plugging in the values, we get:

d = 12 + 8(n-1) = 12 + 8n - 8 = 8n + 4

(Where n is the number of floors between the first and eighth floor)

Setting this equal to the distance traveled by the ball in 3.2 s (64 m), we get:

8n + 4 = 64

Solving for n, we get n = 7.5. Since we cannot have a fraction of a floor, we can round up to 8 floors. Therefore, the total number of floors in the building is 8.

To determine the speed of the ball just before it hit the ground, we can use the equation for free fall:

\(v^2 = u^2 + 2gh\)

Where v is the final velocity (which we want to find), u is the initial velocity (which is zero), g is the acceleration due to gravity (9.8 m/s^2), and h is the height from which the ball was dropped (which we assume to be the height of the building). Plugging in the values, we get:

v = sqrt(2gh) = sqrt(2 x 9.8 x 8 x 8) = 31.4 m/s

Therefore, the ball was falling at a speed of 31.4 m/s just before it hit the ground.

To determine the kinetic energy of the ball just before it hit the ground, we can use the equation:

\(KE = (1/2)mv^2\)

Where KE is the kinetic energy, m is the mass of the ball (0.125 kg), and v is the speed just before it hit the ground (31.4 m/s). Plugging in the values, we get:

\(KE = (1/2) x 0.125 x 31.4^2 = 62.0 J\)

Therefore, the kinetic energy of the ball just before it hit the ground was 62.0 J.

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The elevator is at rest. rank the of magnitude the forces F1 on floor and F floor on 1 is largest, F1 on 3 is smallest.

Elevator is defined as a vehicle that transports people or cargo vertically using a cable, hydraulic cylinders, or roller tracks. A platform that can be either open or closed, an elevator is used to raise and lower both people and objects to higher and lower floors.

Based on the law of motion If the elevator is accelerating, the weight of the person is larger than real gravity. So a person's weight will increase whether they are going up or down.

Thus, the elevator is at rest. rank the of magnitude the forces F1 on floor and F floor on 1 is largest, F1 on 3 is smallest.

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The current should the solenoid carry is 0.22A.

We need to know about the magnetic field of solenoids to solve this problem. The magnetic field appears when there is any current flowing through the solenoid. The magnitude of the magnetic field can be determined by

B = μ₀ . I . N / L

where B is the magnetic field, μ₀ is the vacuum permeability (4π x 10¯⁷ H/m), I is current, N is coil turns and L is the length of the solenoid.

From the question above, the parameters given are

L = 52.0 cm = 0.52 m

d = 1.35 cm

R = 0.0135/2 m

B = 0.375 mT = 0.000375 T

N = 705

By substituting the given parameters, we can calculate current

B = μ₀ . I . N / L

0.000375 = 4π x 10¯⁷ . I . 705 / 0.52

I = 0.22 A

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Answer:

Orbiting observatories have been launched to observe gamma rays (Compton Gamma Ray Observatory and Fermi Gamma-ray Space Telescope), X-rays (Chandra X-ray Observatory and XMM-Newton), ultraviolet radiation (International Ultraviolet Explorer and Far Ultraviolet Spectroscopic Explore

Answer:

A simple machine having a velocity ratio of 3 simply means that the ratio of the distance moved by effort to the distance moved by load is equal to 3.

Explanation:

A simple machine can be defined as a type of machine with no moving parts but can be used to perform work.

Basically, a simple machine allows for the transformation of energy into work. The six simple machines are;

I. Inclined plane.

II. Screw.

III. Wheel and axle.

IV. Lever.

V. Wedge.

VI. Pulley.

Mathematically, the velocity ratio of a simple machine is given by the formula;

\( Velocity \; ratio = \frac {Distance \; moved \; by \; effort}{Distance \; moved \; by \; load} \)

Hence, a simple machine having a velocity ratio of 3 simply means that the ratio of the distance moved by effort to the distance moved by load is equal to 3.

Answer:

Assuming that the sound wave reflected only once off the surface of the water and traveled straight back up to the person, we can calculate the distance between the person and the surface of the water in the well as follows:

Distance = (Speed of sound in air x Time)/2

Where the speed of sound in air is approximately 343 meters per second at standard temperature and pressure, and the time is 0.3 seconds.

Distance = (343 m/s x 0.3 s)/2

Where the speed of sound in air is approximately 343 meters per second at standard temperature and pressure, and the time is 0.3 seconds.

Distance = (343 m/s x 0.3 s)/2

Distance = 51.45 meters

Therefore, the distance between the person and the surface of the water in the well is approximately 51.45 meters.

In order to form a hypothesis that would illustrate the relationship between mass and kinetic energy, we first need to understand what kinetic energy and mass are and how they are related. Kinetic energy is the energy that an object possesses due to its motion, and is given by the formula KE = 0.5mv², where m is the mass of the object and v is its velocity. Mass, on the other hand, is a measure of the amount of matter in an object.

The relationship between mass and kinetic energy is direct, meaning that as mass increases, so does kinetic energy, provided that velocity remains constant. Similarly, if velocity increases, then kinetic energy will increase as well, provided that mass remains constant.

The hypothesis that illustrates this relationship can be stated as follows:If the mass of an object is increased, then the kinetic energy of the object will also increase, because kinetic energy is directly proportional to mass, assuming velocity remains constant.In other words, if the mass of an object is doubled, then its kinetic energy will also double, assuming that its velocity remains constant. This hypothesis can be tested through experiments that involve measuring the kinetic energy of objects with different masses, but with the same velocity.

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If the mass of an object increases, then its kinetic energy will increase proportionally because mass and kinetic energy have a linear relationship when graphed.

a) Gravitational potential energy possessed by the apple is E = 1.47 J.

b) Kinetic energy at the moment of collision of the apple is E = 1.47 J.

   The initial speed of the apple is 3.92 m/s.

c) The speed with which the apple hits the ground is 5.42 m/s.

a) Gravitational potential energy possessed by the apple:

Given that the apple weighs 100 g, located at a height of 1.5 m, the gravitational potential energy can be calculated as follows:

E = mgh = 0.1 kg × 9.8 m/s² × 1.5 m = 1.47 J

b) Kinetic energy at the moment of collision of the apple:

Kinetic energy can be calculated using the formula:

K.E. = 1/2 mv² where m is the mass of the apple and v is the velocity of the apple.

Initially, the apple is at rest. The potential energy of the apple transforms into kinetic energy as the apple falls.The potential energy calculated above is transformed into kinetic energy when the apple reaches the ground.

Therefore,

1.47 J = 1/2 × 0.1 kg × v²v² = 2 × 1.47 J/0.1 kgv² = 29.4v = √29.4v = 5.42 m/s

c) Speed with which the apple hits the ground:

The velocity of the apple can be calculated as follows:

v² = u² + 2gh

where u is the initial velocity of the apple and h is the height from which the apple falls.

u² = v² - 2gh = 5.42² - 2 × 9.8 × 1.5 = 15.37u = √15.37u = 3.92 m/s

Therefore, the initial speed of the apple is 3.92 m/s and the speed with which the apple hits the ground is 5.42 m/s.

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