Why do specific heat capacity of objects differ ?​

a) The velocity function v(t) is given by v(t) = -100 + 10t, b) The acceleration function a(t) is given by a(t) = 10, c) The velocity is v(3) = -70 fps, and the acceleration is a(3) = 10 feet per second squared.

a) To find the velocity function, we take the derivative of the distance function s(t) with respect to time t. The derivative of s(t) = 80 - 100t + 5t^2 is v(t) = s'(t) = -100 + 10t. The units of velocity are feet per second.

b) The acceleration function is obtained by taking the derivative of the velocity function v(t). Since v(t) = -100 + 10t, the derivative of v(t) is a(t) = s"(t) = 10. The units of acceleration are feet per second squared.

c) To find the velocity and acceleration when t = 3 seconds, we substitute t = 3 into the respective functions. For velocity, v(3) = -100 + 10(3) = -70 feet per second. For acceleration, a(3) = 10 feet per second squared.

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Answer:

Explanation:

Formula

KE = 1/2 m v^3

Givens

m  = 54 kg

v = 30 m/s

Solution

KE = 1/2 54 * 30^2

KE = 1/2 54 * 900

KE = 27 * 900

KE = 24300 Joules

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To show that the electric field anywhere inside the plane of the charged circular ring would be zero if the electric field was inversely proportional to r (not r^2), we can examine the symmetry of the system.

Consider a point P located inside the plane of the ring, at a distance r from the center of the ring. To simplify the analysis, let's focus on a specific point on the ring, labeled as point A. At point A, the electric field due to the charge q on the ring will have a magnitude inversely proportional to the distance between point A and point P, which is r.
Now, let's consider another point B on the ring that is diametrically opposite to point A. Since the ring is symmetrical, the charge distribution is also symmetrical. The electric field at point B, which is also at a distance r from point P, will have the same magnitude as at point A but will be directed in the opposite direction. If we continue this analysis for all points on the ring, we find that for every point with a certain magnitude of electric field directed towards point P, there is an opposite point with the same magnitude of electric field directed away from point P. These pairs of opposite points cancel each other's electric field contributions, resulting in a net electric field of zero at point P.
This can be visually represented by a graphical analysis, where vectors representing the electric field at different points on the ring are shown and their cancellation is observed.Therefore, for a charged circular ring with an electric field that is inversely proportional to r, the electric field anywhere inside the plane of the ring would be zero due to the symmetry of the system.

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This technique is often used in forensic science to identify inks used in forged documents or other types of evidence.

One method to separate a mixture of colored inks is chromatography. Chromatography is a physical separation technique used to separate mixtures based on their molecular properties. In the case of colored inks, paper chromatography is a commonly used technique.

In paper chromatography, a small amount of the ink mixture is spotted onto a piece of chromatography paper, and the paper is placed in a container with a small amount of solvent (e.g. water, alcohol, or acetone). The solvent moves up the paper by capillary action, carrying the ink mixture with it. As the solvent moves up the paper, different components of the ink mixture are separated and are visible as colored bands.

The separation occurs because different components of the mixture have different affinities for the paper and the solvent. Components that are more soluble in the solvent will move up the paper more quickly, while those that are more attracted to the paper will move up more slowly. This results in a separation of the components based on their physical and chemical properties.

By comparing the separated bands of the ink mixture to those of known pure inks, the identity of each component in the mixture can be determined. This technique is often used in forensic science to identify inks used in forged documents or other types of evidence.

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A likely method to separate a mixture of colored inks is through chromatography, a technique used to separate components of a mixture. It separates the ink into its constituent colors by allowing a solvent to travel up a stationary phase like paper, carrying the ink mixture with it.

A method that would likely be used to separate a mixture of colored inks is chromatography. Chromatography is a method used in chemistry to separate components of a mixture. It works by using a stationary phase and a mobile phase. In the case of ink separation, the ink mixture would be placed on a stationary phase (like paper), and a solvent (the mobile phase) would be allowed to travel up the paper. As the solvent travels, it moves the mixture along its path. Each component of the ink by their size, chemical properties, and interaction with the solvent and paper will move at different rates, thereby separating the ink into its constituent colors. This method is particularly useful in analyzing the chemical composition of inks and other similar mixtures.

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Answer: physical or mechanical weathering

Explanation:

Mechanical weathering which is also referred to as the physical weathering occurs when a rock is broken down into smaller pieces. In this case, there will be a physical change of the rock but its composition will not change.

Some examples include ice freezing and expansion of the cracks in the rock, Smstrong winds that carrycpieces of sand which then sandblast surfaces, moving water which causes abrasion etc.

Answer:

0.012

Explanation:

The unbalanced net force acting on the rope is 200 N to the left. This means that the rope will move in the direction of the net force, which is to the left.

The unbalanced net force is the overall force acting on the object after considering all the forces acting on it.

In this case, one person is pulling on a rope with a force of 400 N to the right and the other person is pulling on the opposite end with a force of 600 N to the left.

To determine the net force, we need to subtract the force acting in the opposite direction from the force acting in the forward direction.

Since the forces are in opposite directions, we need to subtract the smaller force from the larger force:

Net force = 600 N - 400 N = 200 N to the left

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The velocity with which the feather strikes the ground of the planet is 7.63 m/s and the acceleration due to gravity on the surface of the planet is 5.125 \(m/s^{2}\).

As from the surface of the planet, under acceleration due to it's gravity, the feather takes 1.49 seconds to reach the bottom-end when dropped into a 69m deep crater.

As the motion of the feather dropped would follow the freefall conditions, we should first know the basic equations of motion:

(Assuming u as the initial velocity, \(v\) as the final velocity, \(t\) as time, s as displacement and \(a\) as the acceleration due to gravity in the equations)

s = u\(t\) + 1/2 \(a\)\(t\)²       .......(i)

\(v\)² = u² + 2\(a\)s          .......(ii)

\(v\) = u + \(a\)\(t\)                .......(iii)

The sign convention should be followed according to the given data.

For the question, u = 0 since the feather is dropped

s = 5.69 m;

\(t\) = 1.49 s

Putting the values in equation (i)

5.69 = 1/2 a × 1.49 × 1.49

11.38 = a × 2.2201

a = 5.125 \(m/s^{2}\)

Hence, the acceleration due to gravity for the planet is 5.125 \(m/s^{2}\)

Now, putting the values of a and t in equation (iii), we get

\(v\) = 5.125 × 1.49

  = 7.63 m/s

Hence, the feather hits the bottom of the crater at the speed of 7.63 m/s.

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The correct question is:

An astronaut on planet with no atmosphere drops feather into a 5.69m deep crater and records that the feather falls freely for 1.49s. What is magnitude of free-fall acceleration on the planet? With what speed does the feather strike the bottom of the crater?

Answer:

Weather such as raining has water molecules/droplets thats been evaporated from the ocean and other areas that's wet, the water will connect and soon the mass of the water will become heavy causing rainfall. Snow in another case has been caused to freeze from low climates creating a snow flake to fall from the sky. Hail is another case however the water that becomes ice is far more larger.

The variety of activities that take place daily in our atmosphere makes up for the weather.

The weather varies across the globe and changes over a few minutes, hours, days, and weeks. The troposphere, the region of Earth's atmosphere closest to the surface, is where most weather occurs.

Changes in air pressure determine the weather that occurs in a given place. The weight of the enormous quantities of air molecules that make up the atmosphere is what causes air pressure.

Usually, clear, blue skies are seen when air pressure is high. The high pressure prevents clouds from developing by causing air to flow down and fan out as it gets close to the ground.

Low air pressure causes air to move together before converging upward, where it rises, cools, and forms clouds.

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Explanation:

Force = 150N

Area = 25cm = 25/10000m²

Pressure = F/A = 150/(25/10000) = 1500000/25 = 60000Pa.

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Answer:

Explanation:

The power of the crane can be found by using the formula

\(p = \frac{f \times d}{t} \\ \)

f is the Force

d is the distance

t is the time taken

From the question we have

\(p = \frac{2400 \times 10}{15} = \frac{24000}{15} \\ \)

We have

power = 1600 W

But 1 W = 0.0013 hp

So 1600 = 2.08 hp

We have the final answer as

Hope this helps you

Acceleration = (force) / (mass)

Acceleration = (6.81 x 10⁻³ N) / (252 kg)

Acceleration = 2.70 x 10⁻⁵ m/s²

Time = (change in v) / (acceleration)

Time = (262 m/s) / (2.70 x 10⁻⁵ m/s²)

Time = 9,703,704 seconds

That's  2,695.5 hours , or  112.3 mean solar Earth days .

The situation B describes the highest rate of power. The value of power in the situation A IS 1600 Watt.

Average power is a ratio of total work done by the body to the total time. Its unit is the watt. It is also defined as the rate of total work done by the body.

Power is defined as the rate of work done. Mathematically found as;

\(\rm P = \frac{W}{t} \\\\ P=\frac{800}{0.5} \\\\ p= 1600 \ Watt\)

Hence, the situation B describes the highest rate of power. The value of power in the situation A is 1600 Watt.

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Answer:

The correct option is;

The atoms and molecules of the liquid water are moving, while the atoms and molecules of the glass are not moving

Explanation:

Matter that exist in the liquid or gaseous state consist of molecules that move freely about in the entire containing medium for gas, while the molecules move freely  in the portion of the container occupied by the fluid in the case of liquid fluids

However, the molecules of a solid are fixed within the current shape of the solid and are only free to vibrate within a fixed location and the allow the passage of subatomic particles such as electrons

As such, the glass cup being a solid, consists of molecules fixed in space, while the liquid water consists of molecules which can translate within the portion of the volume of the glass filled with the water.

A solar cell is charging a battery, here electrical energy is converted into chemical energy.

Solar cells are semiconductor devices that utilize sunlight to generate energy. They go through the same manufacturing and processing steps as computer memory chips. The main component of solar cells is silicon, which absorbs the photons that the sun's beams emit. The method was first identified in 1839.

A photoelectric cell is a type of device whose electrical properties, such as current, voltage, or resistance, change in response to light. The foundation of photovoltaic modules, sometimes referred to as solar panels, are solar cells.

The photovoltaic effect, which underpins solar cell operation, states that when light of a specific wavelength is shone on semiconductors, free electrons are generated.

Here in the case of solar cell for charging the battery electrical energy is converted into chemical energy.

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The inductance of the solenoid is approximately 0.000115 H.

To calculate the energy stored in the magnetic field of an air-core solenoid, we can use the formula:

U = (1/2) * L * \(I^{2}\)

Where U is the energy stored, L is the inductance of the solenoid, and I is the current flowing through the solenoid.

Given:

Number of turns (N) = 64

Length of the solenoid (l) = 8.00 cm = 0.08 m

Diameter of the solenoid (d) = 1.20 cm = 0.012 m

Current (I) = 0.800 A

First, let's calculate the inductance (L) of the solenoid. The formula for the inductance of an air-core solenoid is:

L = (μ₀ * \(N^{2}\) * A) / l

where μ₀ is the permeability of free space, N is the number of turns, A is the cross-sectional area of the solenoid, and l is the length of the solenoid.

The cross-sectional area of the solenoid can be calculated using the formula:

A = π * \((d/2)^2\)

Substituting the values:

A = π * \((0.012/2)^2\)

A = 0.0001131 m²

Now, let's calculate the inductance (L) using the given values:

L = (4π \(* 10^-7 * 64^2 * 0.0001131\)) / 0.08

L = 0.000115 H (rounded to 6 decimal places)

Next, we can calculate the energy (U) stored in the magnetic field using the formula:

U = (1/2) *  L * \(I^{2}\)

Substituting the values:

U = (1/2) * 0.000115 * \((0.800)^2\)

U = 0.0000368 J (rounded to 4 decimal places)

Therefore, the energy stored in the magnetic field of the solenoid is approximately 0.0000368 J.

The inductance of the solenoid is approximately 0.000115 H.

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Answer:

Scientific Definition of Mass. Mass is the quantity of inertia (resistance to acceleration) possessed by an object or the proportion between force and acceleration referred to in Newton's Second Law of Motion (force equals mass times acceleration). In other words, the more mass an object has, the more force it takes to get it moving.

Explanation:

Answer:

37.5 seconds

Explanation:

The given parameters are;

The mass of the block on the spring, m = 2.50 kg

The force with which the loaded spring launches the block, F = 450 N

The change in momentum of the block, Δp = 12.0 kg·m/s

We have;

Let the force with which the block was launched = The net force, \(F_{NET}\)

By Newton's second law of motion, we have;

F = \(F_{NET}\) = Δp × Δt

Where;

Δt = The time the block is in contact with the spring

Therefore;

\(\Delta t = \dfrac{F_{NET}}{\Delta p}\)

By plugging in the values for \(F_{NET}\) and Δp, we have;

\(\Delta t = \dfrac{450 \ N}{12.0 \ kg \cdot m/s} = 37.5 \ s\)

The time duration the block is in contact with the spring, Δt = 37.5 seconds.

As you stretch the band a distance x, the force you need to exert has a magnitude of (250 N/m) x.

So if 100 N is required to stretch it to maximum length, then this length is x such that

100 N = (250 N/m) x   ==>   x = (100 N)/(250 N/m) = 0.4 m

Answer:

0.6

Explanation:

I got it right

The intensity of the electromagnetic wave is approximately 1.10 x \(10^{-3}\)W/\(m^2\).

The intensity of an electromagnetic wave is proportional to the square of the amplitude of the electric field. Therefore, to calculate the intensity, we need to square the peak electric field strength and divide by the impedance of free space, which is approximately 377 ohms.

The intensity of an electromagnetic wave can be calculated using the formula:

I = (1/2) * ε * c *\(E^2\)

where:

ε = the permittivity of free space (8.85 x \(10^{-12}\) F/m)

c = the speed of light in a vacuum (3 x \(10^8\)m/s)

E = the peak electric field strength

Plugging in the given values, we get:

I = (1/2) * 8.85 x \(10^{-12}\) * 3 x \(10^8\) * \((125)^2\)

I ≈ 1.10 x \(10^{-3}\)W/\(m^2\)

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Answer:

2121 newtons

Explanation:

Different masses are hung on a spring, then the different values obtained after solving are 49 N, 10 kg, and 686 N.

The fundamental force of attraction operating on all matter is recognized as gravity, also spelled gravity, in mechanics. It has no impact on identifying the interior properties of common matter because it is the weakest force known to exist in nature.

The formation and growth of planets, galaxies, and the universe are all under the influence of this long-range, cosmic force, which further determines the trajectories of objects throughout the universe and the entire universe.

As per the given information in the question,

1 kg = 9.8 N

(b)

5 kg = 5 × 9.8

5 kg = 49 N

(c)

x kg = 98 N

x = 98/9.8

x = 10 kg

(d)

70 kg = 70 × 9.8

70 kg = 686 N.

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Answer:200,000

Explanation:

p=w/t

200=1000/t

t=200*1000

time=200,000

The oil spots left by the suspect's car can potentially be used to investigate the motion of the car and determine whether the suspect's claim of driving slowly with a constant speed is true or not.

The oil spots left by a moving vehicle can provide valuable information about its motion. By examining the size, shape, and distribution of the oil spots, it is possible to gain insights into the car's speed, acceleration, and direction of travel. If the suspect's car was indeed moving slowly with a constant speed, the oil spots would be expected to exhibit a pattern consistent with that type of motion.

To investigate the motion of the car, the investigator can analyze the spacing between the oil spots, their shape and size, and any patterns they form on the road. If the spots are closely spaced, it may indicate that the car was moving slowly. Conversely, widely spaced frequency spots could suggest a higher speed. The shape and size of the spots can also provide information about the car's acceleration and braking.

By comparing the characteristics of the oil spots on the road near the accident site with the recorded footage from the CCTV camera, the investigator can determine if the car's motion aligns with the suspect's claim of driving slowly with a constant speed. This analysis can help in assessing the credibility of the suspect's statement and provide valuable evidence in the hit-and-run investigation.

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Answer:

1323

Explanation:

we know ,

weight = m*g

= 135 * 9.8 ( acceleration due to gravity in earth is 9.8 m/S2)

= 1323 N

Answer:C

Explanation:

The sun heats land quickly and as the warm air rises, cool air comes in to take it place.

Answer:

C

Explanation:

Answer:radiation is the transfer energy thru heat waves, conduction is direct contact, and convection is through liquid

Explanation:ik this