Force vs acceleration with 3 different massesacceleration (m/s/s) The graph above shows 3 different masses which were pushed with increasing forceover time and their acceleration was recorded.Match the correct mass with the graph line above.

The motion when she is running directly east is Δx = 11.7 and Δy = 15.

To determine the slope of a line select two points on the line and calculate the delta y change in y value to determine the change in elevation. Divide the change in x value by the delta x to determine the change in width. The derivative of y is the square of x with respect to y.

So the derivative of something squared with respect to something is multiplied by the derivative of that thing with respect to x. That's exactly the chain rule. Yes, it means exactly the same. y in Newton notation and dy/dx in Leibniz notation. Newton and Leibniz independently invented calculus at about the same time, so in this case, they used different notations to express the same rate of change.

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Answer: energy loss

Explanation: the rest of the energy passes out of the food chain in a number of ways it is used as heat energy it is used for life processes movement faeces and remains are passed to decomposers

The friction and the velocity of the object are inversely proportional to each other.

The velocity of the object sliding over a rough surface decreases with the increase in friction.

Let us assume that ab object is sliding over a rough surface.

Now, if the object is at rest, the static friction completely keeps the object at rest.

While sliding, the friction opposes the motion of the body.

If an object is sliding on a surface with some velocity and no external force is applied. The velocity will decrease in sometime and will become zero.

If an external force is applied in the direction of motion of object, the friction will be in work but it will work only as a opposing force. So, it will always try to decrease the velocity.

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A tsunami may begin as a broad, gradual swelling at sea but grows closer to land.

Ocean waves called tsunamis are caused by: large earthquakes that take place near or beneath the ocean. lava outbursts. landslides underwater. Onshore landslides that release a lot of debris into the water

Landslides happen when sloped ground becomes unstable. Earth, rocks, mud, and any other debris that may be trapped in its wake can all be found in the unstable terrain that collapses and pours down the side of a hill or mountain. Landslides can cause significant harm if they happen close to populated areas.

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Answer: Only 10% of the energy makes light

Explanation:

The distance travelled by the car on the first hour of the trip is 80 km, the average speed for the first hour of the trip is 80 kmph and for the first four hours of the trip is 92.5 kmph

v = d / t

v = Velocity

d = Distance

t = Time

For the first one hour,

d = 80 km

t = 1 hr

v = 80 / 1

v = 80 kmph

For the first four hours,

d = 370 km

t = 4 hr

v = 370 / 4

v = 92.5 kmph

Therefore,

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Answer:

Explanation:

Given:

α = 90°

V₀ = 2.2 m/s

__________

H - ?

H = V₀² / (2*g)   =  2.2² / (2*10) ≈ 0.24 m

The maximum height  obtained by the ball is 24 cm.

The pace at which an object's position changes in relation to a frame of reference and time is what is meant by velocity. Since it is a vector quantity, the definition of velocity requires both magnitude (speed) and direction. Its SI unit is the meter per second (m/s).

Given parameters:

Initial velocity of the tennis ball, u = 2.2 m/s.

And the ball is thrown at  90 degrees from the horizontal .

So, acceleration due to gravity acts on the ball in opposite direction of motion and value of it is 9.8 m/s².

At maximum height H; final velocity (v) is zero.

Using v² = u² - 2as we get,

0² = 2.2² - 2×9.8×H

⇒ H = 2.2²/(2×9.8)

⇒ H = 0.24 m.= 24 cm.

Hence, the maximum height of the ball is 24 cm.

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Answer:

Approximately [tex]6.67 \times 10^{14}\; {\rm Hz}[/tex], assuming that the wavelength was measured in vacuum.

Explanation:

Let [tex]v[/tex] denote the speed of the wave, [tex]f[/tex] the frequency of the wave, and [tex]\lambda[/tex] the wavelength of this wave. It is given that [tex]v = \lambda\, f[/tex].

It is given that the wavelength of this light is [tex]\lambda = 450\; {\rm nm} = 4.50 \times 10^{-7}\; {\rm m}[/tex]. Assume that this wavelength is measured when the light beam is in vacuum, where the speed of light (wave speed) is [tex]v = c \approx 3.00 \times 10^{8}\; {\rm m\cdot s^{-1}}[/tex].

Rearrange the equation [tex]v = \lambda\, f[/tex] to find the frequency [tex]f[/tex] of this wave:

[tex]\begin{aligned} f &= \frac{v}{\lambda} \\ &\approx \frac{3.00 \times 10^{8}\; {\rm m\cdot s^{-1}}}{4.50 \times 10^{-7}\; {\rm m}} \\ &\approx 6.67 \times 10^{14}\; {\rm s^{-1}}\end{aligned}[/tex].

Note that [tex]1\; {\rm Hz}[/tex] is equivalent to [tex]1\; {\rm s^{-1}}[/tex]. Therefore, the frequency of this wave would be [tex]f \approx 6.67 \times 10^{14}\; {\rm Hz}[/tex].

Given that detector measures total energy of 0.53 J over a period of 34s. Photons per second emitted by the laser is 7.84 x 10¹⁶ photons/s

Device that emits a beam of coherent light through an optical amplification process is called Laser. Types of lasers include gas lasers, fiber lasers, solid state lasers, dye lasers and diode lasers .

Given total energy = 0.53 J

period = 34 s

As we know Wavelength of the Photon = 989 nm

Energy of  single photon is given by formula,

E= hc/λ

Total energy= (6.626* 10^-34*2.998*10^8)/(989*10^-9)

= 2.01 *10^-19 J

Time period = 34s

Energy absorbed per sec = 0.53/34=  0.0155 J/s

Energy of a  photon= 2.01*10^-19 J

Number of photons emitted per second is = 0.0155/2.01*10^-19

= 7.711* 10^16 J/photon

Number of photons = 7.771 x 10¹⁶ photons/s

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Answer:

b) is not true - the movement and travel of a wave packet is governed by the "group" velocity of the packet not the phase velocity

The movement and travel of a wave packet are governed by the "group" velocity of the packet, not the phase velocity, so option B is not a true statement.

A collection of waves with roughly the same momentum is referred to as a wave packet. Localization of particles can be achieved by combining waves into wave packets. The area where the particle is most likely to be discovered is indicated by the wave packet's envelope. This region spreads at the speed of a classical particle.

According to Heisenberg's principle, some uncertainty in the mo­men­tum must be permitted in order to gain some localization of the position of a paragraph. Therefore, you must assume that the initial quantum space wave function is nonzero for at least a brief range of various quantum values. A wave packet is a combination of constituent waves of this kind.

The movement and travel of a wave packet are governed by the "group" velocity of the packet, not the phase velocity.

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When a laser pointer is placed on a platform that rotates at a rate of 1616 revolutions per minute and beam hits a wall 8 m away, producing a dot of light that moves horizontally along the wall, then speed is calculated as, v=  430.88πsec²Ф

A small handheld device with a power source and a laser diode that emits very narrow coherent low-powered laser beam of visible light is a laser pointer.

As angle made with the vertical is given so we can write,

tanФ = x/8

x= 8 tanФ

differentiating both sides with time

v= dx/dt= 8 ω sec^²Ф* d/dt

As we know that;

ω= 2πf

=2π/1616/60

= 53.86π

v= 8*53.86π*sec²Ф

=  430.88πsec²Ф

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The correct statement is - Quantity B, because it changes with gravitational strength.

Quantity B is Weight

Quantity A is the Mass - because it remains constant throughout.

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f(x) means a function of x. In this case, the function of x is 3x - 5

So if you have f(2), apply the function with the value of x equal to 2. In this case, just plug 2 into the equation where x is :

f(x) = 3x - 5

f(2) = (3)2 - 5

f(2) = (3 . 2) - 5

f(2) = 6 - 5

f(2) = 1

The function is shown in the figure below. Since this is a linear function we can see that the graph intersects the x-axis at only one point. This equation is a linear equation with two variables. Since there is a unique value of y for every value of x, we find them accordingly and set x = 0, then y = 5. So (0.5) is the answer you get. F values ​​are used in the analysis of variance (ANOVA). It is calculated by dividing the two mean squares. This calculation determines the ratio of explained to unexplained variance. The F distribution is a theoretical distribution.

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The acceleration of the car when get around the slower vehicle is 0.86m/s².

The initial velocity U of the car is 15m/s.

The final velocity V of the car is 20m/s.

The time taken by the car to overtake the slow vehicle is 5.8 seconds.

To find the acceleration of the car, we can use the equation of motion,

The equation is,

V = U + at

Where,

V is final velocity of object,

U is the initial velocity if the object,

a is the acceleration of the body,

t is the time taken by the body to accelerate,

Putting all the values of find the acceleration a of the car,

V = U + at

20 = 15 + a5.8

5 = a5.8

a = 5/5.8

a = 0.86 m/s².

So, the acceleration of the car is 0.86 m/s

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Two students push on a box in the same direction and a third student pushes in the opposite direction. The net force on the box if each push with a force of 50 N is (F)= 50N.

According to the first law of newton's law of motion when a particle is at rest it always be at rest if any external thing affect on it. That external or internal thing that helps the object move that called Force. It can be measured in Newton, Dyne.

To calculate the force we have to study the question carefully. Two  students push on a box in the same direction and a third student pushes in the opposite direction. So according to the question the net force will be,

F = 2f₁-f₂

Here we know,

f₁= The amount of force that two students apply on the same direction. = 50 N.

f₂= The amount of force that students apply on the opposite direction. = 50 N.

We have to calculate the net force= F N.

Now we put the values in above equation, we get,

F = 2f₁-f₂

Or, F= 100-50

Or, F=50N

From the above calculation we can say that,  The net force on the box if each push with a force of 50 N is (F)= 50N.

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The meaning of E = MC² is a energy. It is important because it helps us to calculate the amount of energy required.

Energy is defined as the capacity to exert a force causing the displacement of an item, which is the ability to do work.

There are mainly two types of energy.

Thus, the meaning of E = MC² is a energy. It is important because it helps us to calculate the amount of energy required.

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Answer: Weight = 140.05 N

Explanation:

The formula for calculating weight of an object on the moon is expressed as

weight = mg

where

m = mass of the object

g = acceleration due to gravity of the moon

From the information given,

m = 190 pounds

We would convert 190 pounds to kg

1 pound = 0.45359237 kg

190 pounds = 190 x 0.45359237 = 86.183 kg

g = 1.625 m/s^2

Thus,

w = 86.183 x 1.625

w = 140.05 N

Answer:

Kepler's third law:

P^2 = K R^3  the period squared is proportional to the cube of the radius

Ps^2 = K Rs^3

Pe^2 = K Re^3

Ps^2 / Pe^2 = Rs^3 / Re^3        dividing equations

Ps = (Rs / Re)^3/2 * Pe

Ps = (1.4E9 / 1.5E8)3/2 * 1 yr

Ps = 28.5 yrs

(Actual = 10759 da / 365.25 da = 29.5)

If both animals are running at full speed, with the gazelle 99 m ahead, cheetah will catch its prey after 331 m

v = d / t

v = Velocity

d = Distance

t = Time

Let the distance covered by the gazelle be x.

For cheetah,

v = 105 km / h

d = ( 99 + x ) m

t = d / v

t = 105 / ( 99 + x ) s

For gazelle,

v = 73.5 km / h

d = x m

t = d / v

t = 73.5 / x

The time taken by both cheetah and gazelle will be the same when the cheetah catches its prey.

105 / ( 99 + x ) = 73.5 / x

105 x = 7276.5 + 73.5 x

31.5 x = 7276.5

x = 231 m

Distance travelled by cheetah = ( 99 + x ) m

Distance travelled by cheetah = ( 99 + 231 ) m

Distance travelled by cheetah = 331 m

Therefore, the cheetah will catch its prey after 331 m

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Young stars that vary erratically in luminosity and have especially strong stellar winds are called T-Tauri stars.

The entire amount of energy generated by various celestial bodies (stars, galaxies) per unit of time is referred to as luminosity, which would be essentially measured in joules per sec or watts in SI units.

The characteristic of something that emits light or glows with reflected light is called luminosity. The brilliance of a huge, sparkling diamond is what is most striking. You might use the word "luminosity" to describe a vivid and colorful oil painting or to praise the brightness of a spectacular sunset.

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Work done on the block by the force of gravity as the block moves a distance L up the incline is  - m*g*l*sinФ.

To move an object, it should be first transferred to energy. Transferring energy may be in the method of force. The quantity of energy transferred by the force to move an object is known as work done.

To express mathematically, work is equal to the force times the distance  W = fd.

If  force is  exerted at an angle θ to the displacement then the work done is given by W = fd cos θ

Given,

applied force=F

angle=Ф

We have to evaluate work done by the force  due to gravity,

We know that g= 9.8 m/s^2

Work done=  m*g* sinФ * l *cos 180° +m*g* l *cos 90°

w = -m*g* sinФ* l + m*g *cosФ* l *0

As we know, cos 180° =  -1

and cos 90° = 0

w = - m*g*l*sinФ

Hence, the work done on the block by the force of gravity as the block moves a distance L up the incline=  - m*g*l*sinФ

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Scientists find out about the internal parts of life science specimen by a method called fixation and the examination of sample under microscope.

Specimen is the whole or a part of an organism, plant or rock collected and preserved as an example of its class and species. It is further used to study the properties of the whole population of the species.

Specimen is collected by withdrawing blood, collecting urine, or swabs from mucosal surfaces. Specimen collection is performed using aseptic techniques to  avoid contamination from bacteria or other bodily fluids.

After the liquid is added to the slide, a coverslip is placed on top and then the specimen becomes ready for examination under the microscope. Another method of preparing specimens for light microscopy is “fixing” that refers to the process of attaching cells to a slide.

There are 5 steps for the preparation of samples:

Fixation is done immediately after the removal of the sample that is to to be observed.

Embedding is done by fixation in a fixative solution.

Sectioning is carried out using microtomy

Staining and  also immunolabeling

Finally mounting.

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Answer: 24

Explanation: because my brain said..

An object has a kinetic energy of 180 J and a mass of 45 kg, The object is moving fast with 2.83 m/sec

Kinetic energy is the energy of motion, which can be observed as an item, particle, or collection of particles moving. Kinetic energy is used by any moving object: a person walking, a baseball being thrown, a crumb falling off a table, and a charged particle in an electric field are all instances of kinetic energy at work.

Given that,

Kinetic energy (K.E) = 180 J

Mass (m) = 45 kg

As we know, K.E = [tex]\frac{1}{2}mv^{2}[/tex]

Now we have to calculate the speed or velocity (v)

v = [tex]\sqrt{(2*K.E.)/m}[/tex]

v = [tex]\sqrt{(2*180)/45}[/tex]

v = 2.83 m/sec

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The vertical component of the box's weight is 221.1 N.

The vertical component of the box's weight is the weight of the box acting along the vertical direction of the inclined plane.

Mathematically, the formula for calculating the vertical component of the box's weight is given as;

Wn = mg cosθ

where;

Wn = W cosθ

where;

Wn = 307.4 N x cos(44)

Wn = 221.1 N

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The complete question is below;

You place a box weighing 307.4 N on an inclined plane that makes a 44◦ angle with the horizontal. Find the vertical component of the box's weight.

Answer:Mercury has a greater coefficient of thermal expansion than alcohol. This means a column of mercury will expand and rise more than a column of alcohol for the same temperature change. As a result, you can get finer readings with mercury

Explanation:

The wave length in picometers for above problem was 32pm

What is wavelength?

Have you ever given any thought to why it is possible for humans to perceive colour? The explanation is that different light wavelengths of electromagnetic radiation are what give colours their distinct appearance. The visible portion of the electromagnetic spectrum is also known as visible light. These colours also come in a variety of wavelengths. Learn more about wavelength and visible light's wavelength in this article. The distance between the two crests or troughs of the light wave is known as the wavelength of light. Using the Greek letter lambda (λ), it is identified. As a result, wavelength refers to the separation between one wave's crest or trough and the following wave.

v=c/λ

v: 9.3 × 10^18 Hz c: 3.00*10^8 λ:

9.3 × 10^18 Hz

λ = 3.0010^8 m/s /9.3× 10^18

The calculated wavelength is in unit of meter. use the relationship between meter and nanometer to convert to the correct units.

= 32 nm

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The most severe diffuse brain injury caused by rotational acceleration is most likely to be located in the option (d) entire brainstem is correct.

Angular acceleration is the term used to describe the temporal pace at which angular velocity varies.

The SI of measurement is radians per second per second.

v = ω × r . The equation of angular velocity can be obtained by rewriting this expression as follows: = r v / |r|2, where all of these variables are vectors and |r| stands for the absolute value of the radius.

Rotational acceleration is a type of brain damage brought on by a traumatic event in which the body's pace is disrupted and the head moves freely, out of step with the body's neck, chest, and/or lower limbs.

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