Two objects have equal kinetic energies. how do the magnitudes of their momentum compare. a) p1 < p2 b) p1 = p2 c) p1 > p2 d) not enough to tell

According to the question the distance between the object A and the image 1₂ is 6 cm.

Distance is the measure of how far apart two objects, points, or locations are from one another. Distance can be measured in linear units such as feet, meters, or kilometers, or angular units such as degrees. The concept of distance is a fundamental concept in mathematics, physics, and other sciences. Distance is used to calculate the speed and velocity of objects, as well as the force of gravity between two objects.

The distance between the object A and the image 1₂ can be calculated using the mirror equation.

Mirror equation: 1/d₁ + 1/d₂ = 1/f

Where d₁ is the object distance, d₂ is the image distance, and f is the focal length of the mirror.

In this case, d₁ = 12 cm, d₂ = ? and f = 8 cm.

Substituting these values into the equation gives us:

1/12 + 1/d₂ = 1/8

Rearranging the equation gives us:

1/d₂ = 1/8 – 1/12

Plugging in the values gives us:

1/d₂ = 1/8 – 1/12 = 1/6

Solving for d₂ gives us:

d₂ = 6 cm

Therefore, the distance between the object A and the image 1₂ is 6 cm.

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Explanation:

a boy walks at 2m/s for 30sec and run at 5m/s for 20sec. what is his average speed

Answer:

The answer is 13.5g/cm³

Explanation:

m1=20g

m3=70g

m2=695g

v=20cm³

m2-m1/m3-m1

R.d=695-20/70-20

R.d=675/50

R.d=13.5

R.d=density of liquid/density of water

density of liquid =R.d×density of water

D=13.5×1

D=13.5g/cm³

The image would be 53 cm from the lens of your eye.

What is Lens?
A lens is a transmissive optical tool that uses refraction to focus or disperse a light beam. A compound lens is made up of multiple simple lenses (elements), typically arranged along a common axis, as opposed to a simple lens, which is one solid piece of transparent material. Glass or plastic are used to make lenses, which are then polished or moulded into the desired shape. In contrast to a prism, which simply refracts light without focusing it, a lens can focus light to create an image. Lenses are also devices that focus or disperse waves as well as radiation other than visible light, such as explosive lenses, microwave lenses, particle lenses, and acoustic lenses.

Lenses are a common component of telescopes, binoculars, and cameras, among other imaging devices.

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Based on the study conducted by Rebecca, the statement that would not be an appropriate hypothesis for Rebecca's experiment is:

A hypothesis is an explanation that is given in the form of a statement to explain an observation based on limited evidence and which serves as a starting point for further investigation.

A hypothesis may or may not be true and must be investigated to prove or disprove it.

Experiments are conducted to prove or disprove a given hypothesis.

A hypothesis is divided into a null and an alternate hypothesis.

A null hypothesis is a hypothesis that state that the treatment given to the subjects of the experiment does not produce any significant effect.

An alternate hypothesis states that the treatment given to the subjects of the experiment produces significant effects on the subjects.

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Answer:D

Explanation:

R =  

V

I

=  

120 volt

0.8 ampere

=  150 ohm (Ω)

P =  V × I

=  120 volt × 0.8 ampere

=  96 watt (W)

An electric light installation  can draw Power of 96 Watt  at 120 V if it creates a current of 0.8 amps

Electric power  is the rate of electric energy transfer by an electric circuit per unit time . It is denoted by P and measured using the SI unit of power that is Watt (W)

since, Electric Power   = voltage * current

Power    = 120 V * 0.8 A

Power    = 96 Watts

An electric light installation  can draw Power of 96 Watt  at 120 V if it creates a current of 0.8 amps

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Answer:

λ1 = 0.0129m = 1.29cm

λ2 = 0.00923m = 0.92 cm

Explanation:

To find the distance between the first order bright fringe and the central peak, can be calculated by using the following formula:

\(y_m=\frac{m\lambda D}{d}\)    (1)

m: order of the bright fringe = 1

λ: wavelength of the light = 660 nm, 470 nm

D: distance from the screen = 5.50 m

d: distance between slits = 0.280mm = 0.280 *10^⁻3 m

ym: height of the m-th fringe

You replace the values of the variables in the equation (1) for each wavelength:

For λ = 660 nm = 660*10^-9 m

\(y_1=\frac{(1)(660*10^{-9}m)(5.50m)}{0.280*10^{-3}m}=0.0129m=1.29cm\)

For λ = 470 nm = 470*10^-9 m

\(y_1=\frac{(1)(470*10^{-9}m)(5.50m)}{0.280*10^{-3}m}=0.00923m=0.92cm\)

The net force on particle q₂, located between particles q₁ and q₃, is approximately 189000 N. The force exerted by particle q₁ on q₂ is positive and equals 252000 N, while the force exerted by particle q₃ on q₂ is negative and equals -63000 N.

To find the net force on particle q₂, we need to calculate the individual forces exerted on q₂ by particles q₁ and q₃ and then determine their sum.

The force between two charged particles can be calculated using Coulomb's law:

F = k * |q₁ * q₂| / r²

Where F is the force between the particles, k is the electrostatic constant (k ≈ 9.0 x \(10^9\) Nm²/C²), q₁ and q₂ are the charges of the particles, and r is the distance between them.

First, let's calculate the force exerted on q₂ by q₁:

F₁₂ = k * |q₁ * q₂| / r₁₂²

F₁₂ = (9.0 x \(10^9\) Nm²/C²) * |(8.0 μC) * (3.5 μC)| / (0.10 m)²

F₁₂ ≈ 252000 N

The force is positive because q₁ and q₂ have opposite charges.

Next, let's calculate the force exerted on q₂ by q₃:

F₂₃ = k * |q₂ * q₃| / r₂₃²

F₂₃ = (9.0 x \(10^9\)Nm²/C²) * |(3.5 μC) * (-2.5 μC)| / (0.15 m)²

F₂₃ ≈ -63000 N

The force is negative because q₂ and q₃ have the same charge.

Finally, we can find the net force on q₂ by summing the individual forces:

Net force = F₁₂ + F₂₃

Net force = 252000 N + (-63000 N)

Net force ≈ 189000 N

The net force on particle q₂ is approximately 189000 N.

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Answer:

Mass doubles

Explanation:

Since F = ma, and given that the acceleration stayed constant, the mass must have changed. (Assuming thatt when the problem states the force doubles, they mean the net force doubles). Note, that the mass does not have to change if the acceleration is zero.

Answer:

pls find the attached image for solution

Answer:

0.5

Explanation:

The coefficient of static friction (μs) can be calculated using the formula:Friction Force = μs x Normal ForceWhere Normal force is the weight of the object = 86 NThe force required to move the box is 44 N, which is the Friction forceSo,44 N = μs x 86 NTherefore, the coefficient of static friction (μs) = 44 N / 86 N = 0.5The coefficient of static friction between the box and the surface is 0.5.

Answer:

However, scientific findings in biomedical research are not always reproducible. ... that are promoting best practices and helping researchers perform the highest-quality science. ... in life science research and actions that can be taken to improve it. ... when designing experiments, take responsibility for depicting their results ...

Explanation:

Information technology has greatly impacted the economy, leading to increased productivity, efficiency, and innovation across industries.

The widespread adoption of information technology in the business world has led to a significant transformation in the way companies operate. Through the use of computers, software, and other digital tools, businesses are now able to streamline their operations, automate processes, and access vast amounts of data that can inform decision-making.

This has resulted in increased productivity, efficiency, and cost savings for companies. Additionally, information technology has facilitated the rise of new industries, such as e-commerce and digital marketing, while also enabling existing industries to adapt and innovate in response to changing market conditions.

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--The complete question is, How has information technology impacted the economy?--

The absolute pressure at an ocean depth of 1.0 x 10^3 m is 1.002 x 10^8 Pa.

Hydrostatic pressure is the pressure that a fluid exerts on a surface due to the weight of the fluid above it. It is the result of the force of gravity acting on a column of fluid, and it is directly proportional to the height of the column of fluid and the density of the fluid.

The absolute pressure at an ocean depth of 1.0 x 10^3 m can be calculated using the hydrostatic pressure equation:

P = ρgh + Po

where:

P is the absolute pressure at the given depth

ρ is the density of the water

g is the acceleration due to gravity (assumed to be 9.81 m/s²)

h is the depth of the ocean

Po is the atmospheric pressure at the surface (assumed to be 1.01 x 10^5 Pa)

Substituting the given values, we get:

P = (1.025 x 10^3 kg/m³) x (9.81 m/s²) x (1.0 x 10^3 m) + 1.01 x 10^5 Pa

P = 1.025 x 9.81 x 10^6 Pa + 1.01 x 10^5 Pa

P = 1.002 x 10^8 Pa.

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To determine the height from which a person was shot based on the distance traveled by a blood drop, we can use projectile motion calculations considering the vertical component and apply the equations for the time of flight and vertical distance traveled.

To determine how high up the person was shot, we can use the properties of a projectile motion and the dimensions of the blood drop.

First, convert the distance from feet to meters, as it is a more commonly used unit in physics calculations. 5.1 feet is approximately 1.55 meters.

The blood drop is assumed to follow a parabolic trajectory, where its horizontal and vertical motion are independent. We can focus on the vertical component to determine the height.

The horizontal distance traveled by the blood drop is not relevant to calculating the height.

The vertical distance traveled by the blood drop can be calculated using the equation:

d = ut + (1/2)gt^2

Where:

d is the vertical distance traveled (height),

u is the initial vertical velocity (0 since the drop starts at rest),

t is the time of flight,

g is the acceleration due to gravity (approximately 9.8 m/s^2).

Rearranging the equation, we have:

t = sqrt((2d)/g)

The time of flight can be found using the measured distance, as the horizontal and vertical motion take place simultaneously:

t = distance / horizontal velocity

The horizontal velocity is the horizontal distance divided by the time of flight, which is 1.55 meters divided by the time of flight.

Substitute the time of flight from step 5 into the equation from step 6 and solve for the horizontal velocity.

Now, we know the horizontal velocity, and we can calculate the time it takes for the blood drop to travel from the person to the landing point, which is the horizontal distance divided by the horizontal velocity.

Finally, we can use the time of flight obtained in step 8 and substitute it back into the equation from step 5 to calculate the height.

Please note that this calculation assumes ideal projectile motion without considering factors like air resistance or other variables that may affect the trajectory. Additionally, the size of a single blood drop may not accurately reflect the height from which a person was shot. It is important to consult medical professionals and forensic experts for accurate analysis and interpretation of crime scene evidence.

Therefore, We can use projectile motion calculations with the vertical component and apply the equations for time of flight and vertical distance travelled to determine the height from which a person was shot based on the distance travelled by a blood drop.

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Voltage = 5 volts

\(\sf \dfrac{number \ of \ turns \ in \ primary \ coil}{voltage\ in \ primary \ coil} = \dfrac{number \ of \ turns \ in \ secondary\ coil}{voltage\ in \ secondary\ coil}\)

\(\hookrightarrow \sf \dfrac{400}{100} = \dfrac{20}{V_2}\)

\(\hookrightarrow \sf 400V_2}{} = 20*100\)

\(\hookrightarrow \sf V_2 = 5 V\)

Answer:

you need water, sodium iodide, and soap

Answer:

hydrogen peroxide (H202) sodium iodide (nal)and soap

(a) The average acceleration of this sprinter is 3.31 m/s².

(b) The time taken for the sprinter to reach the speed is 3.5 s.

The average acceleration of this sprinter is calculated as follows;

v² = u² + 2as

where;

v² = 0 + 2as

a = v² / 2s

a = ( 11.5² ) / ( 2 x 20 )

a = 3.31 m/s²

The time of motion of the sprinter is calculated as follows;

v = u + at

v = 0 + at

t = v / a

t = ( 11.5 ) / ( 3.31 )

t = 3.5 s

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Answer:

 Fₓ = 123.8 N and     F_{y} = 0

Explanation:

This is a static balance exercise, to see the forces, see the attachment. In this W is the weight of the ladder and W1 the weight of the man.

locate a reference system at the bottom of the ladder with the horizontal x axis, it will assume that the counterclockwise turns are positive

         Σ τ = 0

          x  + Fₓ y - W₁ d₁ -W d₂ + N 0 + fr 0 = 0

   use trigonometry to find the distances

       cos θ = x / L

       θ = cos⁻¹ (x / L)

       θ = cos⁻¹ (2 / 6.82)

       θ = 72.9º

        in 72.9 = y / L

        y = L sin 72.9

        y = 6.82 sin 72.9

        y = 6.519 m

Center of mass ladder

        cos 72.9 = d₂ / 2

        d₂ = 2 cos 72.9 = 0.588 m

x coordinate of man

       cos 72.9 = d₁ / 3

       d₁ = 3 cos 72.9 = 0.882 m

we substitute

      2 + Fₓ 6.519 - W₁ 0.882 -W 0.588 = 0

as they indicate that the plastic basket has no friction

       F_{y} = 0

       Fₓ 6.519 - W₁ 0.882 -W 0.588 = 0

       Fₓ 6.519 = M₁ g 0.882 + m g 0.588

we calculate

         Fₓ = 85 9.8 0.882 + 12.6 9.8 0.588) / 6.519

         Fₓ = 123.8 N

There are 5 carbon atoms present in the Chemical formula, \(CHCl_\\{3}\) .

A chemical formula is used to show the number and type of atoms present in a molecule, using the atomic symbols of the elements and numerical subscripts.

From the chemical formula;

We can deduce that we have the following elements and their corresponding number of atoms in one molecule of the compound;

Carbon = 1 atom

Hydrogen = 1 atom

Chlorine = 3 atoms

So, in 5 molecules of the compound;

Carbon = 1 x 5 = 5 atoms

Hydrogen = 1 x 5 = atoms

Chlorine = 3 x 5 atoms = 15 atoms

In conclusion, from the solution above, we can say that we have 5 atoms of carbon present in 5 molecules of \(CHCl_3\).

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Answer:

9m/s

Explanation:

45m÷5s=9m/s

Hope it helps!!!

The energy efficiency of the car is approximately 16.7%.

The energy efficiency of a car is the ratio of the useful work output (in this case, the kinetic energy of the car) to the total energy input (in this case, the energy released by burning the gasoline). The equation for energy efficiency is:

The useful work output can be calculated as the kinetic energy of the car using the equation:

where m is the mass of the car and v is its velocity.

Substituting the given values:

The total energy input is the energy released by burning 0.1 L of gasoline, which is:

Substituting these values into the equation for efficiency:

Therefore, the energy efficiency of the car is approximately 16.7%.

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Why do metals conduct electricity?

A. The electrons in metals are inside the nuclei of the atoms.

B. All covalent bonds conduct electricity.

C. A lattice of ions allows valence electrons to move easily. ✓

D. Metals never give up electrons.

Answer:

7.84 m/s

Explanation:

Height, h = 2 m

Initial velocity, u = 10 m/s

Angle, A = 80°

(a) Let the time taken to go to the net is t.

Use second equation of motion

\(h = u t + 0.5 at^2\\\\- 2 = - 10 sin 80 t - 4.9 t^2\\\\4.9 t^2 + 9.8 t - 2 = 0 \\\\t= \frac{- 9.8\pm\sqrt{9.8^2 + 4\times 4.9\times 2}}{9.8}\\\\t = \frac{- 9.8 \pm 11.6}{9.8}\\\\t = - 2.2 s , 0.2 s\)

Time cannot be negative.

So, t = 0.2 s

The vertical velocity at t = 0.2 s is

v = u + at

v = 10 sin 80 - 9.8 x0.2

v = 9.8 - 1.96 = 7.84 m/s

Honesty and hard work are needed in all aspects of the treatment of data because it makes the data near to accuracy.

Honesty plays a vital role in the search for knowledge and in creating cooperation and trust among different researchers and scientists. Few scientists or scholars dispute the importance of honesty. Hard work is also very important for getting best results in the experiment.

So we can conclude that Honesty and hard work are needed in all aspects of the treatment of data because it makes the data near to accuracy.

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Answer:

Explanation:

20.1 + 2.00100 +48.28 + 0.015 = 70.396 ≈ 70.4

3 s.f.      6 s.f.       4 s.f.      3 s.f                     3 s.f

1. The force between the two charges is 1.78 × 10⁻⁵ pounds, with opposite signs indicating attraction between the charges.

2. The resistance of 10 gauge aluminum wire over a 40 ft distance would be 0.506 ohms.

3. The cost of electricity from the automobile battery is 38.6 cents per kWh.

4. The current that would be carried through the body is 0.8 mA if dry.

1. The force between two point charges can be calculated using Coulomb's law, which states that the force is proportional to the product of the charges and inversely proportional to the square of the distance between them.

Using the values given, the force can be calculated as F = (k * q1 * q2) / r², where k is Coulomb's constant, q1 and q2 are the charges, and r is the distance between them. Plugging in the values, the force can be calculated as 1.78 × 10⁻⁵ pounds, with opposite signs indicating attraction between the charges.

2. The resistance of a wire is determined by its length, cross-sectional area, and resistivity. The resistivity of aluminum is higher than that of copper, so a larger cross-sectional area is required to achieve the same resistance. Using the gauge size conversion chart, 10 gauge aluminum wire has a cross-sectional area of 5.26 mm², which is approximately 83% of the cross-sectional area of 12 gauge copper wire.

Thus, the resistance of 10 gauge aluminum wire over a 40 ft distance can be calculated as R = (rho * L) / A, where rho is the resistivity of aluminum, L is the length, and A is the cross-sectional area. Plugging in the values, the resistance can be calculated as 0.506 ohms.

3. To calculate the cost of electricity per kWh, the total cost and the total amount of energy supplied must be known. Since the battery supplies 12 V and 51 A for one hour, the total energy supplied can be calculated as E = V * I * t, where V is the voltage, I is the current, and t is the time.

Plugging in the values, the total energy supplied can be calculated as 612 watt-hours (Wh). Since one kWh is equal to 1000 Wh, the total energy supplied can be converted to 0.612 kWh. Dividing the total cost by the total energy supplied gives the cost per kWh, which is 38.6 cents.

4. The current through the body can be calculated using Ohm's law, which states that current is equal to voltage divided by resistance. Using the values given, the resistance can be either 100,000 ohms or 300 ohms depending on whether the skin is dry or wet.

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Answer:

v = 1.0 m/s

Explanation: