A girl pulls her school box with force of 78N inclined at 27 degrees to the ground. Calculate the part of the force moving the box along the ground

A researcher observes the speeds of cars as they drive through an intersection. an observational unit would be the as follow:

The term that describes what is being measured in a statistical study is called a variable. Observational units and variables are the building blocks of data in statistical analysis. Therefore, the observational unit for the researcher observing the speeds of cars as they drive through an intersection would be the car.

What are speeds?

Speed is a measure of the rate at which an object moves. The unit of measurement for speed is meters per second (m/s) or any other length unit divided by time units (s, minutes, hours, etc.).

What are observational units?

Observational units are the people, animals, plants, objects, or other subjects in a study, and are the entities that researchers observe. They are the subjects from whom data is collected in a statistical study.

Therefore, in this case, the car would be the observational unit that the researcher observed during the study.

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The final kinetic energy of the rifle is about 3.48 times greater when firing the heavier bullet.

We can use the conservation of momentum to find the velocity of the rifle after the bullet is fired. Since the rifle is initially at rest, the total momentum before the bullet is fired is zero. After the bullet is fired, the total momentum is:

\(p = mvbullet + MVrifle\)

where m is the mass of the bullet, vbullet is its velocity, M is the mass of the rifle, and Vrifle is the velocity of the rifle after the bullet is fired. Since there are no horizontal external forces acting on the rifle-bullet system, the total momentum is conserved, so we have:

0 = mvbullet + MVrifle

Solving for Vrifle, we get:

\(Vrifle = -mvbullet/M\)

Note that the negative sign indicates that the rifle moves in the opposite direction of the bullet.

The kinetic energy of an object is given by:

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

where m is the mass of the object and v is its velocity. The ratio of the final kinetic energies of the bullet and rifle is:

\(Kbullet/Krifle = (1/2)mvbullet^2 / (1/2)MVrifle^2\)

Substituting the expression for Vrifle that we found above, we get:

\(Kbullet/Krifle = (m/M)(vbullet/Vrifle)^2\)

For the first bullet, we have m = 5.00 g = 0.005 kg and vbullet = 300 m/s. Substituting these values, we get:

Kbullet/Krifle = (0.005 kg / 3.00 kg) (300 m/s / (-0.005 kg / 3.00 kg))^2

Simplifying, we get:

Kbullet/Krifle = 0.0025

For the second bullet, we have m = 10.5 g = 0.0105 kg and vbullet = 300 m/s. Substituting these values, we get:

Kbullet/Krifle = (0.0105 kg / 3.00 kg) (300 m/s / (-0.0105 kg / 3.00 kg))^2

Simplifying, we get:

Kbullet/Krifle = 0.0087

Therefore, the ratio of the final kinetic energies of the bullet and rifle for the two cases is:

0.0087 / 0.0025 = 3.48

So the final kinetic energy of the rifle is about 3.48 times greater when firing the heavier bullet.

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Answer: F=kq1q2/r2

"F" is the resulting force between the two charges. The distance between the two charges is "r." The "r" actually stands for "radius of separation" but you just need to know it is a distance. The "q1" and "q2" are values for the amount of charge in each of the particles.

Explanation:

The mathematical equation for the electric force between two charges will be ,\(\rm F = \frac{K q_1q_2}{r^2}\). It is a type of attractive force.

The electric force between the two charges is directly proportional to the product of the charge and inversely proportional to the square of the distance between them.

The electric force is found as;

\(\rm F = \frac{K q_1q_2}{r^2}\)

q₁ is the magnitude of charge 1

q₂ is the magnitude of charge 2

k is the proportionality constant

r is the separated distance

F is the electric force

Hence, the mathematical equation for the electric force between two charges will be ,\(\rm F = \frac{K q_1q_2}{r^2}\)

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The total kinetic energy gained by the mass as it falls is equal to the gravitational potential energy at the beginning of the fall. Therefore, the total kinetic energy gained by the mass is approximately 588 Joules.

To calculate the total kinetic energy gained by the mass as it falls, we can use the formula for gravitational potential energy and the principle of conservation of energy.

The gravitational potential energy (PE) of an object near the Earth's surface is given by:

PE = m * g * h

where m is the mass of the object, g is the acceleration due to gravity, and h is the height or distance through which the object falls.

Given:

Mass of the object (m) = 10 kg

Height or distance of the fall (h) = 6.0 m

The acceleration due to gravity near the Earth's surface is approximately \(9.8 m/s^{2}\).

Now we can calculate the gravitational potential energy:

PE = m * g * h

= 1\(0 kg * 9.8 m/s^{2} * 6.0 m\)

= 588 Joules

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It would need to go 685.2 km/h quicker to equal the sound speed in air.

speed of sound at 0°= 331.5 m/s

Sound travels through cold air = 1,190 kilometers per hour

world's fastest train can travel= 574.8 kilometers per hour

match the speed of sound in air= 1,190*331.5/574.8.

                                                    =  685.2 km/h

Sound does not move in space at all. In the void of space, there is rarely any air. There is no sound in space because there is no air there, and sound is nothing more than air vibrating. If you were inside one, you wouldn't hear an explosion from another spacecraft.

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Answer:

I do not think that it is the most reliable way to gain information since it is very hard to do and can be easily messed up. No, I don't think you can charge someone on only evidence from blood spatter, but if there was additional evidence I think that this would definitely help with the case but not on its own, since it doesn’t give you physical evidence about the suspect.

Explanation:

Answer:

They will separate and either burn out or fall into the sea.

Explanation:

The rocket will become too hot for the satellite to handle. So when they separate the satellite will be destroyed, and just be floating junk in space or fall in the ocean and cause more problems for us.

the height of the image of the insect will be the same as the height of the insect, but with a negative sign.

To determine the height of the image of the insect formed by a lens with a focal length of f = -125 mm, we need to apply the sign conventions used in lens imaging.

In the sign convention:

Distances measured from the lens towards the object are positive.

Distances measured from the lens towards the image are negative.

Focal length (f) is positive for a converging lens (convex) and negative for a diverging lens (concave).

Since the given focal length is f = -125 mm (negative value), we know that we are dealing with a diverging lens.

When an object is placed in front of a diverging lens, the resulting image is virtual, upright, and located on the same side as the object. The image formed by a diverging lens is always reduced in size compared to the object.

Since the image is virtual and upright, the height of the image will have the same magnitude as the height of the object, but it will be negative to indicate that it is located on the same side as the object.

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To calculate the resistance of a toaster oven, we need to use Ohm's Law, which states that the current (I) flowing through a conductor is directly proportional to the voltage (V) applied to it and inversely proportional to the resistance (R) of the conductor, or I = V/R. We also know that power (P) is equal to the product of voltage and current, or P = V*I.

In this case, we are given that the toaster oven has a power of 800 W when connected to a 110 V outlet. Using the formula for power, we can find the current flowing through the toaster oven as follows:
P = V*I
800 W = 110 V * I
I = 800 W / 110 V
I = 7.27 A
Now that we know the current, we can use Ohm's Law to calculate the resistance of the toaster oven:
I = V/R
7.27 A = 110 V / R
R = 110 V / 7.27 A
R = 15.12 Ω

Therefore, the resistance of the toaster oven is 15.12 Ω when it is connected to a 110 V outlet and has a power of 800 W.

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Its average luminance is around 100 times that of the sun.

As Henrietta Swan Levitt discovered, a Cepheid's variability period relates directly to its luminosity. The longer the variability period, the more luminous the Cepheid.

A star that is inherently variable and has a long period would have somewhat regular brightness changes that take months or years to complete one cycle. Without exception, they are all red giant and supergiant stars.

Luminous intensity is the quantity of visible light emitted per solid angle in a unit of time. Lumens are a unit of measurement for the quantity of light emitted by a source in a specific time interval (also known as luminous power or luminous flux). In connection to visual perception, the luminance is evaluated.

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Answer:

a: True centrifuge works on centripetal force.

b: False separating funnel can't be used to separate blood cells from samples.

e: False separating funnel cannot separate milk and water.

f: Condenser receives high pressure gas from the compressor and convert this gas to a liquid.

Explanation of how to solve a problem using the method of substitution. Please provide the problem that you need help with so that I can provide a detailed explanation.

Here is the general process for solving a problem using the method of substitution.

Step 1: Identify the function that can be expressed in terms of the other function.

Step 2: Express one of the variables in terms of the other by rearranging the equation.

Step 3: Substitute the expression for the variable in terms of the other variable into the other equation.

Step 4: Simplify the equation by combining like terms and solve for the remaining variable.

Step 5: Use the value of one of the variables to find the value of the other variable.

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Answer:

1.0 x 10^-3 m

Explanation:

1mm = (1/1000) m = 0.001m = 1.0 x 10^-3m (because to get 1.0, you have to  movi the decimal point in the "0.001" three spots over to the right)

Answer:

Below

Explanation:

Measure distance to pistol .....

  speed of light is nearly instantaneous in this situation (short distance)

     measure time from flash to hearing the sound

        speed of sound =  distance to pistol / time to hear

Answer:

Option A

Explanation:

A. A ball is dropped from a height and hits the ground with a high speed. As this is a ball, it has elastic energy, so upon impact on the ground the kinetic energy can 1. go into making sound upon impact, or 2. go into making the ball bounce upward again. There may by more possible energy transfers, but this is what should occur in like conditions. Now it didn't mention that the ball transfers energy as such, only that the ball hits the ground at high speed. Thus, this statement does not explicitly describe a transfer of energy.

_______________________________________________________

Just to confirm that this is the correct answer, take a look at the other options. Option B states that the energy from the collision is transferred to heat, not in those exact words but still is given. Option C states that the plane increases speed, most likely transferring energy to the atmosphere, in the form sound. In option d the electricity causes the fan to turn, an explicit statement of the transfer of energy.

Hope that helps!

If you row a boat across a narrow river to the shore on the other side. The resultant displacement of the boat is 61.03 meters.

A displacement is a vector in geometry and mechanics that has a length equal to the shortest distance between a moving point P's initial and final positions. It measures the length and direction of the net or total motion in a straight line from the starting location to the ending position of the point trajectory. The translation that links the starting location to the ending position can be used to spot a displacement.

According to the question,

Starting from one bank, you can row a boat to the other shore across a narrow river. The river is 35.0 m wide, and as you row, the river current pulls your boat 50.0 m downstream.

It means,

The horizontal element (X) = 50.0m and the vertical element (Y) = 35.0m

So, The magnitude of the resultant displacement (Z) = √(X²+Y²)

[By Pythagoras theorem]

∴ Z = √(50²+35²)

⇒ Z = √(3425) = 61.03m

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The force F1 is equal and opposite to the downward force thus, F1 is equal to 60 N. The force F2 is inclined to 30 ° from leftward force and it is equal to 38.97 N in magnitude.

Force is an external agent acting on a body to deform it or to change its state of motion or rest. Force is a vector quantity and it is characterised by its magnitude and direction.

If two forces acting on a body from the same directions, then the net force will be the sum of these two forces. If they are acting from opposite directions, they will cancel each other in magnitude.

The force F1 is equal and opposite to the force acting downward. Thus its magnitude is 60 N. The force F2 is inclined to 30 ° from horizontal direction.

F2 = 45 cos 30 = 38.9 N.

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The distance traveled by the electron in 4.0 s would be 1.44 x 10^5 meters.

Using the formula: d = (1/2) * a * t^2

The acceleration of the electron can be calculated using the relativistic formula:

a = (e/m) * E

Assuming the electron starts at rest, its initial kinetic energy is zero. Therefore, its final kinetic energy is equal to the work done by the electric field, which is given by:

W = (1/2) * m * v^2

where m is the mass of the electron and v is its final velocity. We can solve this equation for v:

v = sqrt(2 * W / m)

where W is the work done by the electric field.

The work done by the electric field can be calculated using the formula:

W = q * E * d

where q is the charge of the electron, E is the electric field, and d is the distance traveled.

Equating the expressions for W and v, we get:

q * E * d = (1/2) * m * v^2

q = -1.6 x 10^(-19) C (since the electron has a negative charge)

m = 9.11 x 10^(-31) kg

v = 0.9 c = 0.9 * 3.0 x 10^8 m/s

t = 4.0 s

We can solve for E using the relativistic acceleration formula:

a = (e/m) * E

a = (q/m) * E = (v/t)

E = (m * v/t) / q

Thus:

E = (9.11 x 10^(-31) kg * 0.9 * 3.0 x 10^8 m/s / 4.0 s) / (1.6 x 10^(-19) C)

E = 1.026 x 10^5 N/C

Now we can solve for d:

d = (1/2) * a * t^2

where a = (e/m) * E, as given above.

d = (1/2) * (q/m) * E * t^2

d = (1/2) * (-1.6 x 10^(-19) C / 9.11 x 10^(-31) kg) * (1.026 x 10^5 N/C) * (4.0 s)^2

d = 1.44 x 10^5 m

Therefore, the electron travels approximately 1.44 x 10^5 meters in 4.0 seconds.

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Answer:

because of the gravity of the earth

The speed of the wind is 17 mph and the speed of the plane in still air is 119 mph.

Let the speed of the plane be x and the speed of the wind be y. Then, the speed of the plane with the wind becomes x + y, while the speed of the plane against the wind is x - y.

The distance traveled with the wind in 3 hours is 408 miles.

Therefore, we can write the equation as:

3(x + y) = 408

Divide both sides by 3:

x + y = 136  .... (1)

The distance traveled against the wind in 4 hours is also 408 miles.

Therefore, the equation can be written as:

4(x - y) = 408

Divide both sides by 4:

x - y = 102  .... (2)

Now we can solve these two equations using the elimination method.

Add equations (1) and (2):

x + y + x - y = 136 + 1022x = 238x = 119 mph

Therefore, the speed of the plane in still air is 119 mph.

Now, substitute this value of x in equation (1):

119 + y = 136y = 17 mph

Therefore, the speed of the wind is 17 mph.

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The correct question is:

A plane flies 408 mi with the wind in 3 hr. The return trip takes 4 hr. What is the speed of the wind and the speed of the plane in still air?

Answer:There are two main types of friction, static friction and kinetic friction. Static friction operates between two surfaces that aren't moving relative to each other, while kinetic friction acts between objects in motion.

Answer:

k

Explanation:

k

The forward primer for PCR amplification of the given gene sequence is 5'-ACTTTCCAAACGCCC-3', and the reverse primer is 5'-TACACTCATCCTTCAGACAGCGTTTCCCTTATTAGGACTAGTAACCGAGG-3'.

To design the PCR primers for amplifying the given gene sequence, we need to identify regions that flank the target segment. The primers should be complementary to the template DNA and positioned in such a way that DNA synthesis occurs in the desired direction.

Based on the provided gene sequence, the forward primer is designed to bind to the coding (sense) strand of DNA. It starts at position 1 (5'-end) and extends for 15 nucleotides. The forward primer sequence is 5'-ACTTTCCAAACGCCC-3'.

The reverse primer, on the other hand, is designed to bind to the non-coding (antisense) strand of DNA. It starts at a position near the end of the gene sequence (position 241) and extends for 15 nucleotides in the opposite direction. The reverse primer sequence is 5'-TACACTCATCCTTCAGACAGCGTTTCCCTTATTAGGACTAGTAACCGAGG-3'.

These primers will anneal to their complementary sequences on the template DNA during the PCR amplification process. The resulting amplicon will span the target gene segment and can be subsequently isolated and studied further.

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Explanation:

a.)

Reactants : CO2 (carbondioxide) + H2O (water)

Products : O2 (oxygen) + C6H12O6 (glucose)

b.)

Reactants: Na ( Solid Hydrogen) + H2O (water)

Products: H2 (hydrogen gas) + NaOH (sodium hydroxide)

Rachel is correct because she said that is body receive equal magnitude of impulse which completely satisfy the law of conservation of linear momentum.

According to law Conservation of Linear Momentum, if there is no external force working on the system, then the linear momentum remains conserved before and after the collision.

We know that,

Momentum is nothing but the product of force and the time taken for the contact period of the colliding bodies.

We assume that during the head on collision of the body, the body is remain in contact for such a short period of time that there is no external force all the impulse created due to the external force is neglected.

So, because the impulse imparted on both the bodies are equal to each other.

We know that impulse is nothing but the change in momentum.

So, from here we conclude that bodies received equal magnitude of impulse.

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Answer:

27.1 m/s

Explanation:

Given that at a race car driving event, a staff member notices that the skid marks left by the race car are 9.06 m long. The very experienced staff member knows that the deceleration of a car when skidding is -40.52 m/s2.

Using third equation of motion,

V^2 = U^2 + 2aS

Since the car is decelerating, the final velocity V = 0

Substitute all the parameter into the equation above,

0 = U^2 - 2 * 40.52 * 9.06

U^2 = 734.22

U = \(\sqrt{734.22}\)

U = 27.096

U = 27.1 m/s  approximately

Therefore, the staff member can estimate for the original speed of the race car to be 27.1 m/s if it came to a stop during the skid

Choice-D is the only velocity on the list.

(It has a speed and a direction.)

The jet's velocity might be represented by  700 km/h west. Hence, option (D) is correct.

The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.

In this question, 700 h/km, 700 km have different unit that of velocity. So, option (A) and option (B) is not correct. . 700 km/hr has same unit that of velocity.  But it does not has direction. So, option (C) is also incorrect.  700 km/h west has the same unit of velocity with define direction. So, option (D) is correct.

Hence option (D) is correct answer.

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