A boy on rollerskates is travelling along at 8 m/s. He has a mass of 60 kg and is carrying his
school bag of mass 10 kg. He throws the bag directly forward at 20 m/s relative to the
ground. Calculate the boy's speed after throwing the bag forward?

"Nina and Ryan each ran at a constant speed for a 100-meter race. Each runner’s distance for the same section of the race is displayed on the left." In the event of things, Ryan had a headstart of 10min. This is further explained below.

Generally, headstart is simply defined as a head start is a benefit received or awarded from the outset.

In conclusion,  "When racing 100 meters, both Nina and Ryan maintained a steady pace. On the left is a chart showing the distance covered by each runner during the same segment of the race." Whatever the case may be, Ryan was given a 10-minute head start.

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Answer: Ryan had a head start of 10 meters.

Explanation: Trust me

An equation relating the length that you measure l to the ship's proper length l0  is  

l =l0/y. This is further explained below.

Generally, Any object's length in a moving frame will look shortened or contracted when seen in that direction. The Lorentz transformation may be used to determine the amount of contraction.

In conclusion, To use the Lorentz Lorentz transformation, the length Lo-x2 - may be determined if it is measured in the moving reference frame. Hence the Resultant l = l0/y.

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The total electric field of the rod at a distance, x to the right hand end of the rod is determined as [tex]E = \frac{\lambda}{4\pi \varepsilon _0} [\frac{1}{x} - \frac{1}{x+ l} ][/tex].

An expression for the electric field due to an arbitrary source location at observation location on the x-axis is determined as follows;

E = kq/r²

where;

[tex]\int\limits {dE} \,=\int\limits {\frac{kdQ}{r^2} }\\\\E = \lambda k \int\limits^{x + l}_x {\frac{dr}{r^2}} \,= \lambda k [-\frac{1}{r} ] \\\\E = \lambda k [\frac{1}{x} - \frac{1}{x+ l} ]\\\\E = \frac{\lambda}{4\pi \varepsilon _0} [\frac{1}{x} - \frac{1}{x+ l} ][/tex]

Thus, the total electric field of the rod at a distance, x to the right hand end of the rod is determined as [tex]E = \frac{\lambda}{4\pi \varepsilon _0} [\frac{1}{x} - \frac{1}{x+ l} ][/tex].

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The two objects perform the same task of measuring time and they are hourglass and sundial.

An hourglass is a device used to measure the passage of time.

The hourglass contains two glass bulbs connected vertically by a narrow neck that allows a regulated flow of a substance from the upper bulb to the lower one.

A sundial is a horological device that is used to measure time of the day when there is sunlight by the apparent position of the Sun in the sky. Unlike hourglass, its doesn't move.

Thus, the two objects perform the same task of measuring time and they are hourglass and sundial.

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parabolic motion

[tex]\tt t_{max}=\dfrac{2u~sin~\alpha }{g}[/tex]

[tex]\tt h_{max}=\dfrac{u^2sin^2\alpha }{2g}[/tex]

vertically upwards ⇒ α = 90°⇒sin 90° = 1

[tex]\tt 4=\dfrac{2u}{10}\rightarrow u=20~m/s[/tex]

[tex]\tt h_{max}=\dfrac{20^2}{2.10}=\boxed{\bold{20~m}}[/tex]

The average force applied by the ground on the Aeroplane is  16.664 kN.

It states that the force F is directly proportional to the acceleration a of the body and its mass.

F =ma

Given is the mass of aeroplane, m =400 kg and the velocity v = 5000 m/s,

It takes t = 2 min to come to rest, then the acceleration will be

a = velocity /time

a = 5000/(2x60)

a = 41.66 m/s²

According to the Newton's second law of motion.

F = 400 kg x  41.66 m/s²

F = 16.664 kN

Thus, the average force applied by ground on aeroplane is 16.664 kN

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Compass and metal detector are the practical applications of magnetism.

Using a compass to find your way to a campsite and a metal detector to find buried iron objects are the practical applications of magnetism because in these tools magnet is used. Without magnet, they can't perform their function.

So we can conclude that compass and metal detector are the practical applications of magnetism.

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According to the information in the fragment, it can be inferred that it is an example of how scientific development has consequences on pre-established theories and new areas are created in science (option C)

A scientific theory is a term to refer to a set of concepts and observations that are proposed as principles to explain a class of phenomena.

According to the above, the discovery of germs and their relationship with human diseases was an event that changed scientific theories about human diseases because it demonstrated a different explanation than what was believed up to that time.

So, the correct answer is option C because this event changed scientific theory and opened new fields for scientific study and research.

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Answer:

Explanation:

According to the information in the fragment, it can be inferred that it is an example of how scientific development has consequences on pre-established theories and new areas are created in science (option C)

What is a scientific theory?

A scientific theory is a term to refer to a set of concepts and observations that are proposed as principles to explain a class of phenomena.

According to the above, the discovery of germs and their relationship with human diseases was an event that changed scientific theories about human diseases because it demonstrated a different explanation than what was believed up to that time.

So, the correct answer is option C because this event changed scientific theory and opened new fields for scientific study and research.

Answer:

The Crusades, the many periods of persecution of Jews, religious conflicts between Catholics and Protestants in sixteenth- and seventeenth-century Europe, the execution of hundreds of Christians in seventeenth-century Japan, the Mormon expulsion from Missouri and Illinois in the 1840s, the Branch Davidian conflagration

The angle that the water surface make with the horizontal is 0.527°.

The water vapor moves at speed. Therefore,

v = 2πr/T = (2 × π × 0.120)/7.25

= 0.104m/s

Also, the top layer of water deals a downward force if gravity which will be:

= mv²/r = 0.104/0.12 = 0.0901

There, the angle will be:

= tan(0.0901/9.8)

= 0.527°

In this case, the angle that the water surface make with the horizontal is 0.527°.

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Answer:

It carries and stores sperm cells that are created in the testes.

The weight of the baseball is 1.47 N.

Weight is the gravitational pool of a body or an object.

To calculate the weight of the body, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the weight of the baseball is 1.47 N.

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The mass media present mental disorders by the daily soap programs and movies.

Mass media is the means of communication that reach large numbers of people in a few seconds through optical fiber transmission cables connection, such as television, newspapers, magazines, and radio.

Studies show that both entertainment and news media provide dramatic and distorted images of mental disorders. It can lead to more dangerous personality to develop in people including fear, rejection, derision and ridicule. The criminal activity has received heavy coverage in the mass media.

Thus, the mass media present mental disorders by the daily soap programs and movies.

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Answer:

1800 j or 1.8 kj

Explanation:

Energy used = power (measured in watts) multiplied by time (measured by seconds)

1 minute is 60 seconds

30 multiplied by 60 is 1800

Answer:

1800 joule

Explanation:

Power (P) = 30W

Time (T) = 1 min =60 sec

P =(W/T)

30 = W / 60

W = 1800 joule

We know that Energy Is equivalent to Work done. So Energy used is 1800 joule.

Explanation:

accurate quantitative expression, precise predictions and/or rigorous methods of testing hypotheses involving quantifiable predictions and measurements.

Answer:

because it is capable of accurate quantitative expression, meaning they show an absolute precision in their results.

1 Kilojoule [kJ] = 737.562 149 277 27 Foot pound force [ftlbf]

Answer:

divide by 1000

Explanation:

eg 1kJ is equal to 1000J

Answer:

Resistance at 25 V

Explanation:

(10)

(A)

10

20

100

200

Determining Current in a Parallel Circuit

Observed

Resistor Set

(0)

Total

Resistance

Calculated

Current

(A)

Current

(A)

(10)

20, 20, 20

20, 20, 200

Calculated

Observed:

Calculating Power of Circuit Components

Current through Each Bulb

(A)

Table B

Table C

Table D

Observed Total Current

(A)

Current Experimental

(A)

Observed Current

through Each Resistor

(A)

Power Usage per Bulb

(

Considering the definition of speed, the speed of Sam is 3.6 [tex]\frac{km}{h}[/tex].

Speed ​​is a quantity that expresses the relationship between the space traveled by an object. That is, the speed is associated with the change of position of an object in space within a certain amount of time.

The speed can be calculated using the expression:

[tex]speed= \frac{displacement}{time}[/tex]

In this case, you know:

Replacing in the definition of speed:

[tex]speed= \frac{9 km}{2.5 h}[/tex]

Solving:

speed= 3.6 [tex]\frac{km}{h}[/tex]

Finally, the speed of Sam is 3.6 [tex]\frac{km}{h}[/tex].

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Answer:

F = 246.4 N

Explanation:

First Law: (Law of Inertia)

Second Law:

Third Law: (Action - Reaction)

Weight:

Friction:

Now onto the steps:
----------------------------------

F = mΔV ÷ t

F = 0.093 x 75 ÷ 0.028

F = 246.4 N

Therefore, the average net force acted on the object during this time interval is 246.6 Newtons.

Answer:

40 V

Explanation:

 I will assume that  the resistors are

           100 and 3900 and 1000 OHMS    <=====(NOT W)

In series , the resistances add together 100 + 3900 + 1000 = 5000 ohms total

V = IR

I = V / R      so the total current will be   200 v / 5000 ohms = .04 amps

                   this is the current through all of the resistors

      so for the   1000 ohm resistor     V = IR     .04 (1000) = 40 V

According to Newton's second Law of motion, if the mass of an object is 10 kg and the force is 10 newtons, then the acceleration is 1m/s².

The acceleration of a moving body can be calculated by dividing the force of the body by its mass.

According to this question, the mass of an object is 10 kg and the force is 10 newtons, then the acceleration can be calculated as follows:

acceleration = 10N ÷ 10kg

acceleration = 1m/s²

Therefore, according to Newton's second Law of motion, if the mass of an object is 10 kg and the force is 10 newtons, then the acceleration is 1m/s².

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From a spring's equilibrium point, a mass is stretched by 4 cm. The restoring force will also double if the displacement doubles. Option B is correct.

The force required to extend or compress a spring by some distance scales linearly with respect to that distance is known as the spring force. Its formula is;

F = kx

The given data in the problem is;

F is the spring force =?

K is the spring constant= 8.5 N/m

x is the length by which spring got stretched = 1.2m

Given condition:

Displacement is doubled(x'=2x)

The spring force is directly propotional to the displacement of the spring;

F ∝ x

F' ∝ x'

If the displacement is doubled, the spring force will also double.

Hence option B is correct.

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Answer: From a spring's equilibrium point, a mass is stretched by 4 cm. The restoring force will also double if the displacement doubles. Option B is correct.

What is spring force?

The force required to extend or compress a spring by some distance scales linearly with respect to that distance is known as the spring force. Its formula is;

F = kx

The given data in the problem is;

F is the spring force =?

K is the spring constant= 8.5 N/m

x is the length by which spring got stretched = 1.2m

Given condition:

Displacement is doubled(x'=2x)

The spring force is directly propotional to the displacement of the spring;

F ∝ x

F' ∝ x'

If the displacement is doubled, the spring force will also double.

Hence option B is correct.

Explanation:

Hello!

Distance of R/2:

Since a conducting sphere is referenced in this situation, all of its charge will be distributed along its SURFACE. Therefore, there is NO enclosed at a distance of R/2 from the center.

Using Gauss's Law:
[tex]\oint E \cdot dA = E\cdot A = \frac{Q_{encl}}{\epsilon_0}[/tex]

E = Electric field strength (N/C)
A = Area of Gaussian surface (m²)

Q = Enclosed charge (C)
ε₀ = Permittivity of free space C²/Nm²)

If the enclosed charge is 0, then:
[tex]E \cdot A = \frac{0}{\epsilon_0}\\\\\boxed{E = 0 \frac{N}{C}}[/tex]

Distance of '2R':

We can once again use Gauss's Law to solve. This time, however, a surface of radius '2R' encloses ALL of the charge of the sphere.

[tex]E \cdot A = \frac{Q_{encl}}{\epsilon_0}[/tex]

'A' is equivalent to the surface area of a sphere of radius '2R', or:
[tex]A = 4\pi (2R)^2\\\\A = 4\pi (4R^2)\\\\A = 16\pi R^2[/tex]

Substituting this expression back into Gauss's Law:
[tex]E \cdot 16\pi R^2 = \frac{Q}{\epsilon_0}\\\\E = \frac{Q}{16\pi R^2\epsilon_0}[/tex]

To simplify:
[tex]E = \frac{1}{4\pi \epsilon_0 } * \frac{Q}{4R^2}\\[/tex]

OR using k = 1/4πε₀:
[tex]\boxed{E = \frac{kQ}{4R^2}}[/tex]

Taking into account the definition of wavelength, frecuency and propagation speed, the wavelength for radio waves with a frequency of 100 MHz is 3 m.

First of all, wavelength is the minimum distance between two successive points on the wave that are in the same state of vibration. It is expressed in units of length (m).

On the other side, frequency is the number of vibrations that occur in a unit of time. Its unit is s⁻¹ or hertz (Hz).

Finally, the propagation speed is the speed with which the wave propagates in the medium, that is, it is the magnitude that measures the speed at which the wave disturbance propagates along its displacement.

The propagation speed relate the wavelength (λ) and the frequency (f) inversely proportional using the following equation:

v = f×λ

All electromagnetic waves propagate in a vacuum at a constant speed of 3×10⁸ m/s, the speed of light.

In this case, you know:

Replacing in the definition of propagation speed:

3×10⁸ m/s = 100,000,000 Hz× λ

Solving:

λ= 3×10⁸ m/s ÷ 100,000,000 Hz

λ= 3 m

In summary, the wavelength for radio waves with a frequency of 100 MHz is 3 m.

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The force of the person is 90 newtons away from the wall.

Force can be defined as the product of mass and acceleration.

To calculate the force of the person when pushing off the wall, use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the force of the person is 90 newtons away from the wall.

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Explanation:

Because resolution of the light microscope cannot be small than the half of the wavelength of the visible light

Answer:

A circuit which has a battery in it will not allow electricity to flow through it. A device called a switch can be used to complete a circuit so that other devices can be switched on or off.

Explanation:

^^^

Answer: A

Explanation:

Based on the calculations, the tension in the string connecting the yo-yo to the boy's finger is equal to: A. 35 Newton.

Given the following data:

Based on the information provided, we can logically deduce that the tension in the string connecting the yo-yo to the boy's finger is equal to the centripetal force acting on it.

Mathematically, centripetal force can be calculated by using this formula:

Fc = mv²/r

Fc = (0.5 × 7²)/0.7

Fc = 24.5/0.7

Fc = 35 Newton.

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Answer:

final volume - original volume

Answer:

See below

Explanation:

Place the solid in a graduated cylinder filled with water ( or other non-reactant liquid) and measure the change in volume in the graduated cylinder