What is the direction

The physical means of the slope between the static friction and the normal pressure is the coefficient of static friction of the surface on which the object is located.

Mathematically fstatic≤usΝ in which μs is the coefficient of friction and slope among fs and N will provide this μs mentioning that static friction increases with an increase in everyday pressure and vice versa. but we will see this linearity between fs and N most effective for the most static frictional pressure and till fs< usN we can't observe this linearity and when fs=uSN we will look at this linearity.

The slope of this graph represents the coefficient of friction, The more the force the more the friction because the pressure is higher the downward pressure is extra consequently the object. So the friction on the shoe does rely on the load. So the slope of the graph represents the coefficient of friction. Kinetic friction importance is directly proportional to the regular pressure magnitude and the roughness between the sliding surfaces. Static friction magnitude is immediately proportional to the normal pressure importance and the roughness among the sliding surfaces.

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If a bird begins flying straight from the runner to the finish line at v= 17.5 km/hr, the bird would reach the finish line in 10 minutes and 37.71 seconds.

The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object.

As given in the problem A runner is jogging in a straight line at a steady v, 3.5 km/hr. When the runner is L= 3.1 km from the finish line, a bird begins flying straight from the runner to the finish line at v= 17.5 km/hr (5 times as fast as the runner).

The time is taken by the bird to reach the finish line = 3.1 km /17.5 km/hour

                                                                                     =0.177 hours

                                                                                     = 10 minutes 37.71 seconds

Thus, the bird would reach the finish line in 10 minutes and 37.71 seconds.

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A car traveling 500km in 4 hours and another car traveling 500km in 5 hours, both the cars have the same displacement. Thus, the correct option is D.

The displacement is a vector quantity because is has both the magnitude and direction. Displacement is the quantity whose length is the shortest distance from the initial position to the final position of a point which is undergoing motion. Displacement quantifies both the distance and direction of the net or the total motion of an object along the direction of a straight line from the initial position to the final position of the point trajectory of the object. A displacement may be identified with the translation which maps the initial position to the final position of an object.

A displacement may be also described as a relative position, that is, as the final position of an object relative to its initial position. The corresponding displacement vector can be defined as the difference between these two that is the final position and initial position of the object.

Therefore, the correct option is D.

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Answer:

Final speed of car = 9.834 m/s

Displacement = 0.035 km

Explanation:

Part 1

Final velocity, v of an object moving with an acceleration a m/s² for t seconds and an initial velocity u m/s is given by the formula
v = u + at m/s

[tex]\textrm{Initial velocity } u = 22.1 km/h\\\\\textrm{Convert this to m/s:}\\\\\textrm{1 km/h = 1000m/3600 s}\\\\ 22.1 km/h = 22.1 x 1000/3600 = 6.139 m/s\\\\\boxed{\textrm{Final velocity } v = u + at = 6.138 + 0.84 x 4.4 = 9.834 m/s}[/tex]

Displacement s in m for a constant acceleration of a m/s² for a time t seconds is given by the formula:
[tex]x = ut+\dfrac{1}{2}at^2[/tex]
where u is initial velocity

Plugging in the values we get
[tex]s = 6.139\cdot 4.4 + \dfrac{1}{2}\cdot0.84\cdot (4.4)^2 = 35.143 \;\mathrm {meters}[/tex]
35.143 meters = 35.143/1000 =  0.035 km

Answer:

1)  9.83 m/s (2 d.p.)

2)  0.04 km (2 d.p.)

Explanation:

Constant Acceleration Equations (SUVAT)

[tex]\boxed{\begin{array}{c}\begin{aligned}v&=u+at\\\\s&=ut+\dfrac{1}{2}at^2\\\\ s&=\left(\dfrac{u+v}{2}\right)t\\\\v^2&=u^2+2as\\\\s&=vt-\dfrac{1}{2}at^2\end{aligned}\end{array}} \quad \boxed{\begin{minipage}{4.6 cm}$s$ = displacement in m\\\\$u$ = initial velocity in ms$^{-1}$\\\\$v$ = final velocity in ms$^{-1}$\\\\$a$ = acceleration in ms$^{-2}$\\\\$t$ = time in s (seconds)\end{minipage}}[/tex]  

When using SUVAT, assume the object is modeled as a particle and that acceleration is constant.

Given:

Convert km/h into m/s by dividing by 3.6:

[tex]\implies \sf 22.1\;km/h=\dfrac{22.1}{3.6}\;m/s[/tex]

Substitute the given values into the formula and solve for v:

[tex]\begin{aligned}v&=u+at\\\implies v & = \dfrac{22.1}{3.6}+0.84(4.4)\\v & = 6.1388...+3.696\\v & = 9.834888...\\v & = 9.83 \sf \;m/s\;(2\:d.p.)\end{aligned}[/tex]

Therefore, the final speed of the car was 9.83 m/s (2 d.p.).

Substitute the given values into the formula and solve for s, remembering to use the initial velocity in m/s:

[tex]\begin{aligned}s & = ut+\dfrac{1}{2}at^2\\\implies s &=\dfrac{22.1}{3.6}(4.4)+\dfrac{1}{2}(0.84)(4.4)^2\\s &=27.0111...+8.1312\\s &=35.1423111...\sf m\end{aligned}[/tex]

Convert meters into kilometers by dividing by 1000:

[tex]\implies \dfrac{35.1423111...}{1000}=0.0351423111...=0.04 \sf \; km\;(2\:d.p.)[/tex]

Therefore, the displacement of the car after 4.4 s was 0.04 km (2 d.p.).

Graph B represents the velocity of the sphere changes over time when falling with constant acceleration.

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According to research, development is always towards complexity.

The term research has to do with the process that we have to go through to obtain new knowledge or to confirm a piece of information. Let us say that we have some disconnected pieces of evidence that tend to point towards a particular fact, we would need to use the process of research to establish the truth in the research.

Now we can see that there is a movement towards the complexity of organisms at each particular level in the developmental process. We can then conclude that according to research, development is always towards complexity.

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Answer:

The low of conservation of energy states that "energy can neither be created nor be destroyed but it can be changed from one form to another".

Answer:

A. Parallel connection

Answer:

Parallel circuit to be exact

The average speed of the plane is 875.999 m/s.

Average speed can be defined as the ratio of total distanced travelled by the object to that of total time taken to cover the distance.

Mathematically, Average speed = Av = [tex]\frac{Total Distance}{Total Time}[/tex]

According to the question,

Speed of the plane away from its base V₁ = 730 m/s

Speed of the plane when it flies back V₂ = 1095 m/s

Plane flies the distance D = 404 km

Total Distance covered by the plane S = 404 * 2 km

(because the distance travelled by the plane when going away from the base and then flying back to the base is same)

Therefore S = 808 km = 808 ˣ 10³ m

Time taken by the plane while flying away from the base T₁ = [tex]\frac{D}{V1}[/tex]

T₁ =  [tex]\frac{404000}{730}[/tex] = 553.425 s

Time taken by the plane while flying back to the base T₂ = [tex]\frac{D}{V2}[/tex]

T₂ =  [tex]\frac{404000}{1095}[/tex] = 368.949s

Total Time T = T₁ + T₂ = 922.375 s

Therefore  Av = [tex]\frac{Total Distance}{Total Time}[/tex]

= [tex]\frac{D}{T}[/tex] m/s

=  [tex]\frac{808000}{922.375}[/tex]  m/s

= 875.999 m/s

The average speed of the plane will be 875.999 m/s.

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1. The weight of a 12.5 kg mass is 122.625 N

2. The mass of a 2.5 N weight is 0.255 kg

3. The mass of a 200 N weight is 20.4 kg

4. The scale read for a 4 kg mass is 39.2 N

The mass of a substance is the quantity of matter present in that substance.

The quantity of matter or mass of a substance is constant and is measured using a weighing balance.

The weight of a substance is the product of the mass of a substance and the acceleration due to gravity.

The weight of a substance varies and is measured using a spring balance and the unit is N.

Weight = m * g

where;

m is mass in kg

g = 9.81 m/s²

Considering the given substances:

1. The weight of a 12.5 kg mass = 12.5 * 9.81

The weight of a 12.5 kg mass = 122.625 N

2. The mass of a 2.5 N weight = 2.5/9.81

The mass of a 2.5 N weight = 0.255 kg

3. The mass of a 200 N weight = 200/9.81

The mass of a 200 N weight = 20.4 kg

4. The scale read for a 4 kg mass = 4 * 9.81

The scale read for a 4 kg mass = 39.2 N

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Answer:

Bannister = 3:59.4 sec = 239.4 sec

Guerruoj = 3:43.13 = 223.13 sec

1 mi = 5280 ft

G = 5280 / 223.13 = 23.66 ft/sec

B = 5280 / 239.4 = 22.06 ft/sec

In 223.13 sec B runs 223.13 * 22.06 = 4922 ft

G Wins by 358 ft = 119.3 yds = 109.1 meters

To determine the wavelength of a transverse wave, we use the graph of  y-position vs. x-position.

A transverse wave is a wave in which the direction of propagation of the wave is perpendicular to the direction of the disturbance causing the wave.

Plotting a transverse wave,

Now, we can have two graphs namely,

If we plot a cycle of each graph above, we see that position is plotted against time and y-position is plotted against x-position.

We note that the x - position is the direction of travel of the wave in which we measure its wavength. Since the wavelength is the x - position after one cycle, so, we use the graph of y-position vs. x-position to find its wavelength.

So, to determine the wavelength of a transverse wave, we use the graph of  y-position vs. x-position.

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Density calculations are 1.2L = 1200mL m = 2.9 x 10^4 g

Density is the mass of a material substance per unit volume. d = M/V, where d is density, M is mass, and V is volume, is the formula for density. Grams per cubic centimetre are a typical unit of measurement for density. Another way to state density is in kilogrammes per cubic metre (in metre-kilogram-second or SI units).

For instance, air weighs 1.2 pounds per cubic metre. In textbooks and manuals, the densities of typical solids, liquids, and gases are stated. The relationship between mass and volume can be easily determined using density; for example, the mass of a body is equal to its volume multiplied by the density (M = Vd), whereas the volume is equal to the mass divided by the density (V = M/d).

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The car's (centripetal) acceleration would be 6.97 meters / second², its value in terms of acceleration due to gravity would be 0.71 g and the centripetal force acting on the car would be 4774.5 Newtons.

Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.

As given in the problem a race car rounds a curve at 55 m/s. The radius of the curve is 434 m, and the car's mass is 685 kg. (Assume the car's speed remains constant. Take the radially inward direction to be positive.

The centripetal acceleration of the car = v² / r

                                                                =55² / 434

                                                                = 6.97 meters / second²

The centripetal force acting on the car = m×v² / r

                                                                 =685× 6.97

                                                                 =4774.50 Newtons

Thus, the centripetal force acting on the car would be 4774.5 Newtons.

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The student can determine the average horizontal velocity of the object using a meter stick and a calculator by measuring the horizontal distance traveled, determine the flight time from the vertical drop, and then calculate the average horizontal velocity.

So option 3 is correct.

The horizontal velocity can be described as the velocity of any projectile along a horizontal path.

From the options given, the student can measure the horizontal distance traveled, determine the flight time from the vertical drop, and then calculate the average horizontal velocity.

Gravity  acts only in the vertical direction and doesn't affect horizontal motion directly.

Horizontal velocity comes from forces that act in the x-axis, that is directions from side to side and not up or down.

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(a) The force the spring exert on glider A  is 1.88 N.

(b) The force the spring exert on glider B is 2.82 N.

The acceleration of the spring is calculated as follows;

F = ma

a = F/m

a = 5.4 N / (0.15 kg + 0.4 kg + 0.6 kg0

a = 4.7 m/s²

F(A) = ma

F(A) = 0.4 kg x 4.7 m/s²

F(A) = 1.88 N

F(B) = 0.6 kg x 4.7 m/s²

F(B) = 1.88 N

F(B) = 2.82 N

Thus, the force the spring exert on glider A  is 1.88 N.

The force the spring exert on glider B is 2.82 N.

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Although the bigger football player will move, his speed will be substantially slower than the smaller players due to his greater mass.

According to the law of conservation of momentum, The overall momentum of two or more bodies acting on one another in an isolated system stays constant unless an external force is introduced. As a result, momentum cannot be gained or lost.

When a collision occurs, the point of impact is generated by two equal and opposing forces. The heavier mass will be forced to accelerate by the force applied to it, whereas the smaller mass will be forced to slow down by the force applied to it.

Because of their greater mass, larger masses will accelerate more slowly, reducing their velocity.

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Memoir is a type of narrative nonfiction: Monique went through many trials and tribulations and decided to write a book about this particular period in her life.

Because it combines elements of creative writing with the relation of facts required to produce a work of nonfiction, narrative nonfiction is a type of writing that is occasionally referred to as creative nonfiction. This genre comprises of writing that is factually accurate yet written with a creative flair that contributes to improving the work's flow and appeal. The genre of narrative nonfiction can include journalism and some genres of biography, essay, memoir, and personal essay. When compared to plain nonfiction, this genre is very new, and as the genre has developed, so too has the scrutiny that is applied to this kind of writing.

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Answer: C

Explanation:

The bigger the satellite, the longer it will take to get around the satellite. Hence, the velocity would get smaller.

r*v=4r*?

r*v/4r=?

r/4r * v=?

1/4 * v=?

?=v/4 ==> C

Answer:

Development of acne in boyw

The acceleration is obtained from the net force and the mass of a body.

According to the Newton second law, we know that force is the product of the mass and the acceleration of a body. Given the fact that the force applied on the body is in opposite direction to the friction, we can be able to obtain the friction from the images shown in the problem.

In the first case;

Force = mass * acceleration

acceleration= force/mass

acceleration= 175 N/50 = 3.5 m/s^2

In the seconds case;

Net force = 330 N - 196 N = 134 N

acceleration= force/mass

acceleration= 134 N/200 Kg = 0.67 m/s^2

In the third case;

Net force = 373 N - 147 N = 226 N

acceleration= force/mass

acceleration= 226 N/50 Kg

= 4.52 m/s^2

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The apple takes 2.05 seconds to fall due to gravity.

Newton's Second Law of Motion and Newton's Law of Universal Gravitation serve as the foundation for the formula for the acceleration caused by gravity. The most practical formula for estimating the acceleration caused by gravity is given by these two laws: g = G*M/R2, where g is the acceleration caused by gravity, G is the universal gravitational constant, M is mass, and R is distance.

Everything has a gravitational pull on every other object, according to Newton's Law of Universal Gravitation. The force is inversely proportional to the square of the distance between the centers of both objects and directly proportional to the masses of both objects. This is determined mathematically by the formula F = G*(m1*m2/d2), where F is the force and G is the gravitational constant of the universe.

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The package strike the ground relative to the point directly below it was released at 213.3m.

Given values,

Velocity of plane 45 m/s

Acceleration due to gravity 9.8 m/s²

horizontal component of plane velocity is

ux = 45 m/s

Vertical component is zero

In the same way

ay = - 9.8  m/s²

ax = .0 m/s^2

Motion in y direction = -110 m

From equation of motion time of flight is

d = u x t + 1/2 at²

where,

d is distance

u is velocity initial

a is acceleration

t is time

So, putting values

-110 = 0 + 1/2 (-9.8)t²

-110 = -4.9t²

t² = 110 / -4.9

t² = 22.45

t = √22.45

t = 4.74

Motion in x direction,

d = u x t + 1/2 at²

d = ( 45 x 4.74) + 1/2 (0) 4.74²

d = 213.3 + 0

d = 213.3m

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Answer:

VPA

Explanation:

To find the component of car's average velocity along X-axis, the angle between the the direction of the velocity and the X-axis must be known.

The value of x component of the car's average velocity is Vcosx.

Let the angle be = x

The X-component of the car's average velocity = Vcosx.

V is the magnitude of the velocity.

To calculate the y component of the car's average velocity

The Y-component of the velocity = Vsinx

The difference between the change in position or displacement (x) and the time periods (t) during which the displacement happens is known as average velocity. Depending on the direction of the displacement, the average velocity could be either positive or negative. Meters per second (m/s or ms-1) is the SI unit of measure for average velocity.

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The frequency of the simple harmonic motion is 2 Hertz , the maximum acceleration is 3 u and the maximum velocity is equal to 2.48 m/s.

Oscillation is the repetitive or periodic variation, typically in time, of some measure about a central value or between two or more different states.

Time period in periodic oscillation refers to the time taken by the system to complete one oscillation.

Given:

Time period of the oscillation = 0.5 seconds

Amplitude of the oscillation = 2 cm

For determining frequency we use the formula of frequency.

f = 2π/T

Where,

f is the frequency of the oscillation

T is the time period of the oscillation

On substituting values we get,

Frequency (f) = 1/0.5

Frequency (f) = 2 Hertz

For determining maximum acceleration we use,

a = A × w × w

Where,

a is the acceleration

A is amplitude of the SHM

w is the angular frequency

Now,

a = A × w × w

a = 0.02 × 12.4× 12.4

a = 3 u

For maximum velocity we use,

v = A × w

Where v is maximum velocity

v = 0.02 × 12.4

v = 2.48 m/s

Therefore, the frequency of the simple harmonic motion is 2 Hertz , the maximum acceleration is 3 u and the maximum velocity is equal to 2.48 m/s.

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If you throw the picket fence down instead of dropping it, the graphs and values ​​will change due to forces other than gravity acting on it. When you throw it, gravity works against it, so they change too, and eventually return tends to decrease. acceleration due to gravity by quadratic curve fitting for the given data is 9.726 m/s2.

The purpose of this exercise was to measure the acceleration of a free-falling object using the slope of a velocity versus time plot. If you drop the picket fence from the same height each time, the photogate will read a slope of 9.8 each time.

The photogate has a beam of infrared light that moves left and right. You can detect whenever that beam is blocked. They drop clear plastic strips with evenly spaced black bars called picket fences. As the mass of an object increases, the object's acceleration decreases.

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They drop picket fences, which are clear plastic strips with neatly spaced black bars. The acceleration of an item decreases as its mass increases.

The photogate emits an infrared light beam that travels left and right. When the beam is obstructed, you can detect it. The graphs and numbers will vary if you fling the picket fence down instead of dropping it owing to factors other than gravity acting on it. Gravity works against it as you toss it, thus they vary as well, and ultimately return tends to diminish. For the given data, the acceleration due to gravity calculated using quadratic curve fitting is 9.726 m/s2.

The goal of this exercise was to use the slope of a velocity vs time plot to calculate the acceleration of a free-falling object. If you drop the picket fence from the same height each time, the photogate will always report a slope of 9.8.

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