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The answer is:Area=1/2×b×h

Answer:

A= b×h ÷ 2

Explanation:

The Area of a triangle formula is the Base multiplied by the Height, then divided by 2

The tension force would be 7.62N. Its angle of equilibrium would be 70.23°

For equilibrium,

for direction X,

Tcos([tex]\theta[/tex]-36.87°) = 8cos (36.87°) → 1

For direction Y,

9 = 8sin36.87° + Tsin([tex]\theta\\[/tex]-36.87°)

Tsin([tex]\theta\\[/tex]-36.87°) = 9- 8sin(36.87°) → 2

Now dividing equation 2 by 1,

tan([tex]\theta\\[/tex]-36.87°) = [tex]\frac{9-8*3/5}{8*4/5}[/tex]

tan([tex]\theta\\[/tex]-36.87°) = 0.66

[tex]\theta\\[/tex] - 36.87°= [tex]tan^{-1}[/tex](0.66)

[tex]\theta\\[/tex] - 36.87° = 33.42°

⇒ [tex]\theta[/tex] = 40.29°

Now from equation 1,

Tcos(33.42°) = 8cos(36.87°)

T = [tex]\frac{8*4/5}{0.84}[/tex]

T = 7.62N

Thus, we get the tension force as 7.62N

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Rate of acceleration for a 5 kg grocery cart that’s being pushed with 50 N is 10 m/sec^2. The value of acceleration can be calculated with the help of following formula Fnet = m . a

Fnet is the  net force acting on the shopping cart

m is the mass of the grocery cart

a is the acceleration of the shopping cart

So on using the formula we get

Fnet = m . a

So on putting the values we get

Fnet = 50 N

m = 5kg

a = ?

50 = 5.a

On calculating we get the value of acceleration

a = 10 m/sec^2

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The boat had sailed 1130km.

Initial Boat travel time = 7 hours.

The boat's initial speed is 80 km/h

The boat's current speed is 95 km/h.

Boat travel time at present = 6 hours.

Total nautical miles traveled =?

Solution:

Speed = distance / time.

The distance = Speed * Time

1. Distance = 80 km/h x 7 hours

  Distance = 560 km

2. Distance = 95km/h x 6hours

   Distance = 570 km

Hence, total distance = 560km + 570km

                                    = 1130km

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The direction of the resultant of the three forces can be seen as resultant is 78.25 lb and its direction can be calculated as [tex]\theta[/tex] =65.19°.

To find component in x-direction,

Fx = p3 cos(30) + p2 cos (30+45) - p1 cos (40)

Fx = 46 cos(30) + 45 cos (75) - 20 cos (40)

Fx = 46x 0.866 + 45x 0.2588 - 20x 0.766

Fx = 39.836+11.646-15.32

Fx = 36.165 lb

To find component in y direction,

Fy = -p3 sin(30) - p2 sin (30+45) - p1 sin(40)

= -[ 46x 0.5 + 45x 0.96 + 20x0.16]

= -[23 + 43.2 + 3.2]

= - 69.4 lb

Fr = [tex]\sqrt{fy^{2} +fx^{2} }[/tex]

=[tex]\sqrt{(-69.4)^{2} + (36.165)^{2} }[/tex]

=[tex]\sqrt{4816.36+1307.9}[/tex]

=[tex]\sqrt{6124.26}[/tex]

= 78.25 lb

Then to find [tex]\theta[/tex]

[tex]\theta\\[/tex] = [tex]tan^{-1} \frac{fy}{fx}[/tex]

=[tex]tan^{-1}[/tex] (78.25/36.165)

= [tex]tan^{-1}[/tex] (2.163)

= 65.19°

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The model that best represents this phenomenon is called Osmosis

In osmosis, a semi-permeable membrane allows the solvent to pass from a higher solvent concentration to a lower solvent concentration (or, to put it another way, from a lower solute concentration to a higher solute concentration).

As a result, the dialysis bag with the highest concentrated starch solution will absorb the most water from the outside (present in the beaker).

Line A thus displays the information gathered from the bag containing the highest concentrated starch solution.

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Water depth Bathyscaphes can submerge at a depth of h=5 km=5000 m.

the seawater's particular weight,

γ=10.1kN/m3

Through the equation, the density of the seawater and its specific weight are connected.

γ=ρg→(I)

where rho is the seawater's density and g is the acceleration brought on by gravity.

Given is the pressure at a depth of h meters. ,

P=ρgh→(II)

When equation I is substituted, equation (ii),

P=γh

About substituting

P=10.1×103×5000=50.5×106Pa=50.5MPa

1 Pascal =1.45×10−4psI

50.5 MPa corresponds to

50.5MPa=50.5×106×1.45×10−4psI=7322.5psI

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The gravitational energy of the brick before it was dropped was 507.15 J.

Let us assume that the brick is dropped from the rest at a height of h meters above the ground and reaches the ground at a speed of 26.0 m/s.

Given in question

Initial Velocity = u = 0 m/s ( dropped from rest )

Final Velocity = v = 26.0 m/s

Acceleration = a = g = 9.8 m/s

Using the third equation of motion,

v² - u² = 2ah

Put in the values, we get

(26)² - (0)² = 2×9.8×h

19.6h = 676

h = 676/19.6

h = 34.5 meters

So the brick was at the height of 34.5 meters before it was dropped. The gravitational potential energy of the body is given by

U = mgh, where

m = mass = 1.5 kg

g = acceleration due to gravity = 9.8 m/s²

h = height above the ground = 34.5 m

Put in the values, we get

U = 1.5×9.8×34.5 J

U = 507.15 J

Therefore, the gravitational energy of the brick before it was dropped was 507.15 J.

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Answer: well

Explanation:

Assuming the bullet fired is a 32-gram .458 Winchester Magnum then it will take from 3.386 seconds to cover 1500 meters at  20∘C  to 3.404 seconds to cover 1474.6 meters at  0∘C. You cannot assume there is no air resistance without the result being incorrect by about 500 meters.

According to doctors and health experts, resting heart rate should be taken before doing any physical activity. It is ideal to take your resting heart rate first thing in the morning.

The resting heart rate of an individual is of great importance in a medical examination as it is indicative of various infections or heart-related problems, if any, present in the individual.

The resting heart rate of any healthy individual falls between the range of 60 to 100 beats per minute. A resting heart rate below 60 and above 100 beats per minute, without any direct reason such as heavy exercise and physical exertion might be indicative of a serious developing heart condition; and the particular individual should consult a doctor.

The ideal time to take a resting heart rate is during resting time. It should be taken first thing in the morning before even coming out of bed. Resting heart rate should not be taken immediately after exercising or a workout.

Therefore, the ideal time to take resting heart rate is early in the morning before leaving the bed and doing any sort of physical activity.

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The speed as the stone hits the ground is 29.4 m/s

The distance at which the stone fell is 44.1 m.

Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, velocity is a vector, whereas speed is a scalar value.

An example of an amphetamine is speed. It is a central nervous system stimulant that releases significant amounts of dopamine. Dopamine is a neurotransmitter in the brain linked to reward and pleasure.

Although it is occasionally used to refer to other amphetamines, speed is the street name for amphetamine sulphate. It typically appears as an off-white or pinkish powder and occasionally as crystals. It can also be found in the form of a paste, which is often white, grey, or brown in color and can be grippy and wet.

Speed can be defined as the ratio of distance to time.

(a) To calculate the speed at which the stone hit the ground, we use the formula below.

Formula:

v = u+gt............ Equation 1

Where:

v = Final speed of the stone

u = Initial speed of the stone = 0 m/s

t = time = 3 seconds

g = acceleration due to gravity = 9.8 m/s²

Substitute the values above into equation 1

v = 0+3×9.8

v = 29.4 m/s

(b) To calculate the distance the stone fell, we use the formula below.

S = ut+gt²/2........... Equation 2

Where:

S = Distance

Solving for S by substituting into equation 2

S = (0×3)+(9.8×3²)/2

S = 44.1 m

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They found out that their vectors did not point in the same direction because the two students observed the vector's motion from opposite direction.

Vector addition is the operation of adding two or more vectors together into a vector sum. For two vectors, the vector sum is obtained by placing them head to tail and drawing the vector from the free tail to the free head.

When the two students added a vector for a moving object’s position at t=2s to a motion diagram. They found out that their vectors did not point in the same direction because the two students observed the vector's motion from opposite direction.

Thus, they found out that their vectors did not point in the same direction because the two students observed the vector's motion from opposite direction.

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Answer: The atomic theory is important because it describes the composition of the atom and the properties of the subatomic particles as well as their behavior.

Explanation:

Even if our grasp of atomic theory may continue to develop throughout time, learning about it is still important for a number of reasons.

Thus, Atomic theory gives the fundamental ideas for comprehending matter behaviour and interactions between atoms and molecules, which forms the basis of modern chemistry.

It serves as the cornerstone of contemporary chemistry and provides insight into a number of chemical processes.

The development of atomic theory throughout millennia has been shaped by the efforts of numerous scientists. It has roots in antiquity.

Thus, Even if our grasp of atomic theory may continue to develop throughout time, learning about it is still important for a number of reasons.

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Answer: 1325t miles

Explanation: you have to divide all of them

The graph shown in the first option shows a reasonable representation of the velocities of the lion and the gazelle as functions of time, therefore the correct answer is option A.

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 if a lion is running at constant speed toward a gazelle that is standing still, as shown in the top figure above.

Thus, the correct answer is option A.

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Answer:Is it possible to have positive acceleration with a negative velocity?

Explanation:An object which moves in the positive direction has a positive velocity. If the object is slowing down then its acceleration vector is directed in the opposite direction as its motion (in this case, a negative acceleration).

A substance's density is defined as its mass per unit of volume. Density is most frequently represented by the symbol ρ, however Latin letter D may also be used.

If the density of an object is 9.331 x 10−2 lbs/cubic inch, what is its density in g/cm3?

9.331 x 10−2 lbs/cubic inch = 258 281 190,85 g/m³

To calculate the density:

The following is the density formula:

D = m/v, where D =  Density, m = mass, v = volume.

Write down the data and the density equation, solve for the mass, add the density to the volume, then multiply the result to get the density in grams.

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The deceleration of the car from a velocity of 100ms-1 to a final velocity of 20ms-1 in 10 seconds is 8ms-2.

We are aware that acceleration refers to an object's rate of increase in speed, and deceleration refers to an object's rate of decrease in speed.

Because it must be reported as a magnitude and a direction, acceleration is a vector. Negative and positive signs are used to denote the direction in circumstances of one-dimensional motion. Negative indicators indicate that the object is slowing down.

The unit of measurement is the meter per second square, or ms-2.

We know that

v= u + at,

where,

v= final velocity

u= initial velocity

t= time

a= acceleration

According to the question,

u= 100ms-1

v= 20ms-1

t= 10s

a=?

so, v = u + at

substituting the values in the equation, we get:

20 = 100 + 10a

a= -8 ms-2

Here, the negative sign shows that the car is decelerating,

Thus, deceleration is 8ms-2.

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When the wavelength of light is decreased the ejected electrons would have greater kinetic energy.

A kind of energy that an item or particle possesses as a result of its mobility is known as kinetic energy.

When an item undergoes work—the transfer of energy—by being subjected to a net force, it accelerates and consequently obtains kinetic energy.

An object's kinetic energy is the energy it has as a result of motion.

Kinetic energy is the force that drives an object's motion.

Kinetic energy can be found in moving objects such as a bullet traveling at high speed or a person walking.

The energy brought on by the random, continuous bouncing of atoms or molecules is another illustration of kinetic energy.

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Gases move slower at temperatures not pressures.

All gases exhibit ideal behavior in low-pressure situations because when the pressure is very low, the gas particles are:

Far apart and rarely interacting

- gases move slower at temperatures, not pressures.

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If the measurement is taken for four different times for same weight and is always different then the balance is precise but not accurate.

There are numerous instruments available for measuring mass in various settings. The use of gravitational interaction between objects is one of them, along with balances and scales, measurement transducers, vibrating tube sensors, Newtonian mass measurement devices, and balances and scales.

The kilogram, which is defined as equal to 6.6260 x 10³⁴joule second in terms of Planck's constant, is the unit of mass in the International System of Units (SI). A joule is equal to one kilogram multiplied by one square meter per second.

A beam balance is always used to determine mass. Because a spring balance measures weight rather than mass, it will read differently depending on where you are on the planet.

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Juggler will catch the second ball 1 second after catching the first ball as the first ball comes down 1 second earlier than the second.

Two balls are thrown into the air. The first ball goes up with a velocity of 9.8m/s and the second ball goes with a velocity of 14.7m/s. We have to find out the Time difference between the balls when both of them land in the hand. We have Newton's first equation :  v = u + at =>  t = (v-u)/a

where, v = Final velocity, u = Initial velocity, a=g = Acceleration of gravity, and t = Time

For First ball, v1 = 9.8m/s, u1 = 0, g = 9.8 (acceleration for gravity),             t1 = time and multiplying the equation by 2 for marking journey of balls for both going up and down

              => t1 = 2(v1-u1)/g    =>  t1 = (9.8-0)/9.8

              => t1 = 2 seconds

For second ball, v2 = 14.7m/s, u2 = 0, g = 9.8 (acceleration for gravity),

t2 = time & multiplying the equation by 2 for marking journey of ball for both going up and down  => t2 = 2(v2-u2)/g  

              => t2 = (14.7-0)/9.8  => t2 = 3 seconds

Difference between the time taken by both balls t = t2-t1

                    => t = 1 second

So the second ball lands after 1 second.

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Larger diameter, capabilities of the better gathering of light, and better resolving power are those advantages that a large diameter astronomical telescope has over a telescope of a smaller diameter.

The larger the lens or mirror which is having the diameter or aperture, the telescope will then gather more light and will be at higher resolution as the viewer has the chance to see fine in detail it can. Larger scopes also have focal lengths of longer size, which means the magnifications will be greater and the sizes of images are possible with accessibility by both the eye as well as the camera.

A larger telescope mirror is a type that allows us to view the fainter objects farther into the region of space, therefore the larger one in round nature is better. The shape does not matter just as long as it can bring light to the focus point.

Large telescopes will be having several merits over their smaller counterparts, and the concerned resolution will be as how much in detail we are able to see a celestial object is the first priority. Generally, the resolution depends mainly on two things the stability of the atmosphere as well as the aperture present in your telescope. The user can only control any one of these factors.

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Answer:

250 m/s      (VERY fast !)

Explanation:

30 km = 30 000 m

30 000 m / 120 s = 250 m/s

The average speed of the tennis ball is 3 m/s.

Average speed can be defined as the ratio of the total distance to the total time covered by the body. The S.I unit of average speed is m/s.

To calculate the formula below.

Formula:

Where:

From  the question,

Given:

Substitute these values into equation 1

Hence, The average speed of the tennis ball is 3 m/s.

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Answer:

9.8 m/s2

Explanation:

the Acceleration is due and represented by g and the answer to that is 9.8 m/s2

The correct answer is Every living thing is formed of cells. When an old cell dies, a new cell is created.

All living things are primarily composed of cells, which serve as both the basic structural and organisational unit of all living things. According to the biological notion known as "cell theory," all cells are descended from previously existing cells. In the middle of the nineteenth century, it was initially put forward. All living things are composed mostly of cells, which also serve as the fundamental unit of reproduction. The cell theory is based on the following three basic postulates:

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Newton's second law of motion states that "the acceleration of an object is equal to the force on an object divided by the mass of the object.​"

Newton's second law of motion is also called the law of acceleration as it tells us about the acceleration of a moving object under the influence of an unbalanced force or net force not equal to zero.

According to the law, the acceleration of an object is directly proportional to the force on the object and inversely proportional to the mass of the object.

Acceleration a ∝ Force F                                                                       ....1

Acceleration a ∝ 1/Mass m                                                                    ....2

From 1 and 2  Acceleration a = [tex]\frac{Force}{Mass}[/tex]

Therefore, Newton's second law of motion states that "the acceleration of an object is equal to the force on an object divided by the mass of the object.​"

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Answer:

your question explains that an accelerometer is a device that uses the extension spring to measure acceleration in terms of Earth's Gravitational accelerations. So if this device is extended just 0.43 centimeters the possible accelerations is letter B. 0.80 g

Answer:

See below

Explanation:

With N   at 0 degrees    

   35 degrees south of west becomes  90 + 35 = 125 °

x component      50 km  cos 125  = - 28.7 km

y component       50 km sin 125 =   41 km