what’s 3 times 10 to the 8th power divided by 2.45 times 10 to the 9th power

Answer:

B-400 mL

Explanation:

Volume = Mass divided by density

360 / 0.9 = 400

Answer:

Force

Explanation:

W= F * d

Work is defined in physics as the product of force and an object's displacement. It is expressed mathematically as Work = Force x Distance. The direction of the force and displacement also affect whether the work done is considered positive or negative.

In physics, work is defined as the product of force and an object's displacement. It is represented mathematically as Work = Force x Distance. In this equation, Force is the amount of effort exerted on an object, and Distance or displacement is the amount of space over which the force is applied. If the force and the displacement are in the same direction, the work done is positive.

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Since she is testing where the plant would grow best, the type, height and amount of water does not help the original question. Only moving the plants will help her determine where to plant the basil plants. Option B. the location of the plants

Answer: C. the height of the plants

Explanation:

Answer:

the initial conditions

Explanation:

The rest of the answers are

the duration of seasons on Earth

turn left toward the coast, turn right and head out to sea (in that order)

a warm, dry air mass moving over an area.

The two models assimilate data differently using different equations.

changes in ocean currents

In a model ensemble system, meteorologists change  the initial conditions each time they run a simulation of the same model.

Ensemble modelling is a process in which multiple diverse models are created to predict an outcome, either by employing a variety of modelling algorithms or by employing a variety of training data sets. The ensemble model then aggregates each base model's prediction, yielding a single final prediction for the unseen data.

The goal of using ensemble models is to reduce prediction generalization error. When the ensemble approach is used, the prediction error of the model decreases as long as the base models are diverse and independent. In making a prediction, the approach seeks the wisdom of the crowds.

Hence, in a model ensemble system, meteorologists change  the initial conditions each time they run a simulation of the same model. Option(c) is correct.

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Answer:

Explanation:

The total energy at all times is equal to the sum of kinetic and potential energy.

Eu = Ep + Ek

If an object has reached a finite height point and is stationary, then the potential energy is maximum (100 J) and the kinetic energy is equals to zero.

If the same object started to fall before the impact on the ground itself, the kinetic energy is maximum (100 J) and the potential energy is minimum ie zero.

God is with you!!!

Answer:

B

Explanation:

When a beam of light hits glass straight on it passes right through it. But the whites that make up the light actually get sloped down by the glass. And only go back to their normal speed when they come out the other side. That slowing down is what causes white light to split into a rainbow of color whenever it hits glass on an angle. it happens because glass slows some colors of light more than others and because slowing down on an angle causes them to slightly bend. All colors get bend somewhere in between. The reason that different colors get split is because they all have different wavelengths. The longest being red and violet being the shortest. The longer the wavelengths, the slower it is.  

Different wavelengths of visible light refract at different angles when passing from air to glass.

Refraction is the bending of light (it also happens with sound, water and other waves) as it passes from one transparent substance into another. This bending by refraction makes it possible for us to have lenses, magnifying glasses, prisms and rainbows.

When a beam of light hits glass straight on it passes right through it. But the whites that make up the light actually get sloped down by the glass. And only go back to their normal speed when they come out the other side.

That slowing down is what causes white light to split into a rainbow of color whenever it hits glass on an angle. it happens because glass slows some colors of light more than others and because slowing down on an angle causes them to slightly bend.

All colors get bend somewhere in between. The reason that different colors get split is because they all have different wavelengths. The longest being red and violet being the shortest. The longer the wavelengths, the slower it is.  

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Answer: 2.17 s

Explanation:

The described situation is related to projectile motion (also known as parabolic motion). So, this kind of motion has a vertical component and a horizontal component; however, in this case we will only need the equation related to the horizontal displacement [tex]x[/tex]:

[tex]x=V_{o}cos \theta t[/tex]

Where:

[tex]x=45 m[/tex] is the arrow's horizontal displacement

[tex]V_{o}=800 m/s[/tex] is the arrow's initial velocity

[tex]\theta=75\°[/tex] is the angle

[tex]t[/tex] is the time the arrow is in the air

Isolating [tex]t[/tex]:

[tex]t=\frac{x}{V_{o}cos \theta}[/tex]

Solving with the given data:

[tex]t=\frac{45 m}{800 m/s cos(75\°)}[/tex]

[tex]t=2.17 s[/tex] This is the time the arrow is in the air

Displacement and instantaneous:

Displacement is the distance vector that the object has displaced from its initial position. It is calculated from the starting point to the endpoint in the journey of the object in question. The displacement can be understood as the straight line joining the points mentioned above. Keep in mind that the actual path taken by the object is not related to the displacement. The exact route is the average distance.

Velocity is the speed in a particular direction. If I say the speed of the car was 10mph than it would be speed, but if I say the speed was 10mph in the right direction than it would be velocity. So, the Directional speed is velocity. Velocity is a vector quantity and follows the rules of vector algebra and cannot be added or subtracted. The notation of velocity is a v with an arrow on the top. The arrow just tells that the quantity in question is a vector.

Answer: no, it is an opinion and is not testable (a)

Explanation:

i just got this question on Study Island

Answer:

16. reflected

17. transmitted

18. refracted

Explanation:

The initial speed of train = 24 km/hr = 24 x 1000/3600 = 20/3 m/sec

The final speed of train =  8 km/hr = 8 x 1000/3600 = 20/9 m/sec

The relation of motion

v = u + a x t

final velocity = initial velocity + acceleration x time

20/9 = 20/3 - 2 x t   where t is time

Because the acceleration is negative

2 t =  20/3 - 20/9 = 40/9   or  t = 20/9 sec = 2.2 sec

The time taken to decrease the speed from 24 km/hr to 8 km/hr is 2.2 sec approx

Mechanical advantage of the ramp is 5

Explanation:

The Mechanical Advantage (MA) of a simple machine represents the factor of multiplication of the input force applied in the machine; it represents the mechanical advantage of the machine taking into account the energy losses due to internal frictional forces.

It is given by

[tex]MA=\frac{Load}{Effort}[/tex]

where

Load is the force in output, which is the weight of the object moved

Effort is the input force applied to move the object

For the ramp in this problem, we have:

Load = 100 N

Effort = 20 N

Therefore, the mechanical advantage is

[tex]MA=\frac{100}{20}=5[/tex]

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Explanation:

The gravitational force of attraction on the surface of earth F = G M m/R²

Here G = gravitational constant = 6.67 x 10⁻¹¹

M = mass of the earth and m = mass of the body on the surface of earth .

R = radius of earth

In this question

mass of earth = 6 x 10²⁴ kg  and its radius = 6 x 10⁶ m

The values are substituted in the above equation

F = 6.67 x 10⁻¹¹ x 6 x 10²⁴ x 5 / ( 6 x 10⁶ )² =  49 N

The mass will be attracted by 49 N of force .

Answer:

B

Explanation:

this is because the formula for calculating 1 half of the mass multiplied by the velocity squared

Answer:

b

Explanation:

ANSWER :

(A) AT RIGHT ANGLES TO THE DIRECTION THE WAVE TRAVELS.

EXPLANATION :

TRANSVERSE WAVES IS THAT IN WHICH THE PARTICLES VIBRATE WITH AN UP-AND-DOWN MOTION. THE PARTICLES IN A TRANSVERSE WAVE MOVE ACROSS OR PERPENDICULAR TO THE DIRECTION THAT THE WAVE IS TRAVELING OR AT RIGHT ANGLES TO THE DIRECTION THE WAVE TRAVELS.

Explanation:

Correct.  Air has an index of refraction of approximately 1, and the angle of incidence is 35°.  The substance has an unknown index of refraction n, and the angle of refraction is 25°.

1 sin 35° = n sin 25°

n = 1.36

Answer:

2 seconds

Explanation:

The frequency of a wave is related to its wavelength and  speed by the equation

[tex]f=\frac{v}{\lambda}[/tex]

where

f is the frequency

v is the speed of the wave

[tex]\lambda[/tex] is the wavelength

For the wave in this problem,

v = 2 m/s

[tex]\lambda=8 m[/tex]

So the frequency is

[tex]f=\frac{2}{8}=0.25 Hz[/tex]

The period of a wave is equal to the reciprocal of the frequency, so for this wave:

[tex]T=\frac{1}{f}=\frac{1}{0.25}=4 s[/tex]

This means that the wave takes 4 seconds to complete one full cycle.

Therefore, the time taken for the wave to go from a point with displacement +A to a point with displacement -A is half the period, therefore for this wave:

[tex]t=\frac{T}{2}=\frac{4}{2}=2 s[/tex]

The time taken by the wave to travel the vertical  displacement from the point on the rope to -A is 2 seconds

Given to us:

wavelength λ = 8 m,

Velocity v = 2 m/s,

The frequency of a wave is given by:

[tex]frequency=\dfrac{Velocity}{wavelength}\\f=\dfrac{V}{\lambda}\\\\f=\dfrac{2}{8}\\\\f= 0.25\ \rm Hz[/tex]

Therefore, the frequency of the wave is 0.25 Hz.

The period of a wave is equal to the reciprocal of the frequency,

[tex]{\rm period\ of\ time}(T),\\T=\dfrac{1}{f}\\T=\dfrac{1}{0.25}\\\\T=4\ sec[/tex]

Therefore, It takes 4 seconds to complete one full cycle.

Hence, the time taken by the wave to travel the vertical  displacement from the point on the rope to -A is 2 seconds as its is the half distance which is needed to be traveled by the wave.  

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Answer:

The answer is A

Explanation:

If it goes 80km/h on a flat highway than it is not going any faster or slower.

When a  car moves at 80 kilometers / hour on a flat, straight highway then the car would not accelerate, therefore the correct answer is option A.

The rate of change of the velocity with respect to time is known as the acceleration of the object.

As per the second option when the car slows from 80 km/h to 35 km/h, then it would accelerate with negative acceleration.

When the car turns in the corner car would accelerate because there is a change in the velocity of the motion.

Similarly in the last option when a car speeds up from 35 km/h to

80 km/h, then it would generate acceleration because there is a change in the velocity with respect to the time.

The first option is the tye only case when the car would not accelerate because there is no change in the velocity of the car, thus the correct answer is option A.

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Answer: see the explanation

Explanation:

The total amount of energy contained in an object is called its energy. Energy can exist in different forms, such as kinetic energy (energy of motion), potential energy (stored energy), thermal energy (heat), chemical energy (energy stored in chemical bonds), and many others.

To calculate the total energy of an object, you need to consider the different forms of energy it possesses. For example, if an object is moving, it has kinetic energy, which depends on its mass and velocity. The equation to calculate kinetic energy is KE = 0.5 * mass * velocity^2, where KE represents kinetic energy, mass is the object's mass, and velocity is its speed.

If an object is at a certain height above the ground, it has gravitational potential energy. The equation for gravitational potential energy is PE = mass * gravity * height, where PE represents potential energy, mass is the object's mass, gravity is the acceleration due to gravity (approximately 9.8 m/s^2 on Earth), and height is the object's height above a reference point.

Additionally, an object can have other forms of energy, such as thermal energy due to its temperature, chemical energy stored in its chemical bonds, or electrical energy if it has an electric charge.

It's important to note that the total energy of an object is the sum of all the different forms of energy it possesses. Each form of energy can be converted into another form, but the total energy remains constant, as stated by the law of conservation of energy.

In summary, the total amount of energy contained in an object is the sum of its different forms of energy, such as kinetic energy, potential energy, thermal energy, chemical energy, and others. To calculate the total energy, you need to consider the specific forms of energy present and use the appropriate equations. The law of conservation of energy states that energy cannot be created or destroyed, only converted from one form to another.

can u tell in a very easy where a small child can also understand

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AI-generated answer

The total amount of energy in an object is all the different kinds of energy that it has. Energy is what makes things happen and allows them to do work. It can come in different forms, like when you're running and have energy to move, or when you have a ball that can bounce and roll.

Imagine you have a toy car that you wind up. When you wind it up, you're putting energy into it. That energy gets stored inside the car. When you let go of the car, it starts moving and uses up that stored energy. This is an example of kinetic energy, which is the energy of motion.

Another kind of energy is potential energy. Let's say you have a ball on top of a hill. The ball has potential energy because it can roll down the hill. When you let the ball go, it starts rolling and its potential energy turns into kinetic energy as it moves.

Objects can also have thermal energy, which is heat energy. When you touch something hot, like a stove, you feel the thermal energy transferring to your hand.

Some objects have chemical energy stored inside them. For example, when you eat food, your body breaks it down and turns it into energy that you can use.

These are just a few examples of the different forms of energy. The total energy of an object is the sum of all the different kinds of energy it has. Energy can change from one form to another, but it cannot be created or destroyed.

So, to put it simply, the total energy of an object is all the different types of energy it has, like the energy of motion, heat, stored energy, and more

While pushing a refrigerator up a ramp, there would be less friction to overcome if you used a dolly because of the wheels. So the efficiency of the ramp would be greater with the use of the dolly.

Explanation:

The ramp provides for a wedge setup, so when the refrigerator is being pushed up the ramp, the friction on the ramp would equally distributed to the refrigerator when pushed wholly as the friction applied is a product of the coefficient of friction with the Normal reaction of the weight in contact with the surface.

Therefore, when the dolly is used, the surface in contact becomes divided and thus, the friction applied would become less due to though coefficient of friction remains the same, the normal reaction of the weight becomes small and so does the applied friction. Therefore, efficiency of the ramp increases as the friction is less and work done is more.

Answer:

1.47 km

Explanation:

When the pilot hangs freely in the seat and does not push against the  seat belt, his centripetal acceleration would counter balance gravitational acceleration g = 9.81m/s2 = a

We can calculate the radius of the loop using velocity v = 120m/s and a

[tex]a = \frac{v^2}{r}[/tex]

[tex]r = \frac{v^2}{a} = \frac{120^2}{9.81} = 1467.89 m[/tex] or 1.46 km

The radius of the plane's loop is approximately 1469.4 meters. This is determined by equating the centripetal force and gravitational force at the top of the loop and solving for radius.

The question is about determining the radius of a plane's loop while considering the gravitational force and centripetal acceleration. At the top of the loop, the pilot is not pushed against the belt, which means the gravitational force is providing the necessary centripetal force. We can use the equation of motion for circular motion to solve the problem.

Given that the mass (m) of the pilot is 75 kg and he is travelling with a speed (v) of 120 m/s, and the acceleration due to gravity (g) is approximately 9.8 m/s². Centripetal force (mv²/r) is equal to the gravitational force (mg), hence we can equate mv²/r= mg. The unknown here is r (radius), which we can solve for by rearranging the equation to: r = v²/g. Plugging in the given values gives r = (120 m/s)² / 9.8 m/s² = approximately 1469.4 meters.

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Answer:

                                     1             2               3          4            5

 New force ( N )           1.25      0.4166      48      175         150

Explanation:

We know that ,

Force ( f ) ∝ distance ( d )

1 )

initial distance =40 m

initial force = 5 N

F ∝ d

F = k d     ( k = proportionality constant )

5 = k * 40

k = (1/8)

new distance = 10 m

new force = ( 1/8 ) * 10 = 1.25 N

2)

d = 72 m

F = 2.5 N

k = 2.5/72

new distance = 12 m

new force = ( 2.5/72 ) * 12 = 0.4166 N

3)

d = 12 m

F = 8 N

k = 2/3

new distance = 72 m

new force = ( 2/3 ) *72 =  48 N

4 )

d = 6 m

F = 25 N

k = 25/6

new distance = 42 m

new force = ( 25/6)*42  = 175 N

5)

d = 10 m

F = 50 N

k = 5

new distance = 30 m

new force = 5 * 30 = 150 N

Answer:

according to the method of their formation

Explanation:

Answer:

R2=10ohm

Explanation:

In this combination

R2 and R3 are in series combination where R1 is in parallel combination with them hence

R2+R3=R`

And

1/R`+1/R1=1/Req

1/R`=1/Req-1/R1

1/R`=1/4-1/6

=1/12

R`=12ohm

Also

R2+R3=R`

R2=R`-R3

R2=12-2

R2=10ohm

a) 6.4 m/s

b) 2.1 m

c) [tex]61.6^{\circ}[/tex]

d) 14.0 N

e) 4.6 m/s

f) 37.9 N

Explanation:

a)

Since the system is isolated (no external forces on it), the total momentum of the system is conserved, so we can write:

[tex]p_i = p_f\\m_1 u_1 = m_1 v_1 + m_2 v_2[/tex]

where:

[tex]m_1 = 2 kg[/tex] is the mass of the 1st sphere

[tex]m_2 = 3kg[/tex] is the mass of the 2nd sphere

[tex]u_1 = 8 m/s[/tex] is the initial velocity of the 1st sphere

[tex]v_1[/tex] is the final velocity of the 1st sphere

[tex]v_2[/tex] is the final velocity of the 2nd sphere

Since the collision is elastic, the total kinetic energy is also conserved:

[tex]E_i=E_k\\\frac{1}{2}m_1 u_1^2 = \frac{1}{2}m_1 v_1^2 + \frac{1}{2}m_2 v_2^2[/tex]

Combining the two equations together, we can find the final velocity of the 2nd sphere:

[tex]v_2=\frac{2m_1}{m_1+m_2}u_1=\frac{2(2)}{2+3}(8)=6.4 m/s[/tex]

b)

Now we analyze the 2nd sphere from the moment it starts its motion till the moment it reaches the maximum height.

Since its total mechanical energy is conserved, its initial kinetic energy is entirely converted into gravitational potential energy at the highest point.

So we can write:

[tex]KE_i = PE_f[/tex]

[tex]\frac{1}{2}mv^2 = mgh[/tex]

where

m = 3 kg is the mass of the sphere

v = 6.4 m/s is the initial speed of the sphere

[tex]g=9.8 m/s^2[/tex] is the acceleration due to gravity

h is the maximum height reached

Solving for h, we find

[tex]h=\frac{v^2}{2g}=\frac{(6.4)^2}{2(9.8)}=2.1 m[/tex]

c)

Here the 2nd sphere is tied to a rope of length

L = 4 m

We know that the maximum height reached by the sphere in its motion is

h = 2.1 m

Calling [tex]\theta[/tex] the angle that the rope makes with the vertical, we can write

[tex]h = L-Lcos \theta[/tex]

Which can be rewritten as

[tex]h=L(1-cos \theta)[/tex]

Solving for [tex]\theta[/tex], we can find the angle between the rope and the vertical:

[tex]cos \theta = 1-\frac{h}{L}=1-\frac{2.1}{4}=0.475\\\theta=cos^{-1}(0.475)=61.6^{\circ}[/tex]

d)

The motion of the sphere is part of a circular motion. The forces acting along the centripetal direction are:

- The tension in the rope, T, inward

- The component of the weight along the radial direction, [tex]mg cos \theta[/tex], outward

Their resultant must be equal to the centripetal force, so we can write:

[tex]T-mg cos \theta = m\frac{v^2}{r}[/tex]

where r = L (the radius of the circle is the length of the rope).

However, when the sphere is at the highest point, it is at rest, so

v = 0

Therefore we have

[tex]T-mg cos \theta=0[/tex]

So we can find the tension:

[tex]T=mg cos \theta=(3)(9.8)(cos 61.6^{\circ})=14.0 N[/tex]

e)

We can solve this part by applying again the law of conservation of energy.

In fact, when the sphere is at a height of h = 1 m, it has both kinetic and potential energy. So we can write:

[tex]KE_i = KE_f + PE_f\\\frac{1}{2}mv^2 = \frac{1}{2}mv'^2 + mgh'[/tex]

where:

[tex]KE_i[/tex] is the initial kinetic energy

[tex]KE_f[/tex] is the kinetic energy at 1 m

[tex]PE_f[/tex] is the final potential energy

v = 6.4 m/s is the speed at the bottom

v' is the speed at a height of 1 m

h' = 1 m is the height

m = 3 kg is the mass of the sphere

And solving for v', we find:

[tex]v'=\sqrt{v^2-2gh'}=\sqrt{6.4^2-2(9.8)(1)}=4.6 m/s[/tex]

f)

Again, since the sphere is in circular motion, the equation of the forces along the radial direction is

[tex]T-mg cos \theta = m\frac{v^2}{r}[/tex]

where

T is the tension in the string

[tex]mg cos \theta[/tex] is the component of the weight in the radial direction

[tex]m\frac{v^2}{r}[/tex] is the centripetal force

In this situation we have

v = 4.6 m/s is the speed of the sphere

[tex]cos \theta[/tex] can be rewritten as (see part c)

[tex]cos \theta = 1-\frac{h'}{L}[/tex]

where in this case,

h' = 1 m

L = 4 m

And [tex]r=L=4 m[/tex] is the radius of the circle

Substituting and solving for T, we find:

[tex]T=mg cos \theta + m\frac{v^2}{r}=mg(1-\frac{h'}{L})+m\frac{v^2}{L}=\\=(3)(9.8)(1-\frac{1}{4})+(3)\frac{4.6^2}{4}=37.9 N[/tex]

The speed of light in glass [tex]1.97 \times 10^{8}\ \mathrm{m} / \mathrm{s}[/tex]

The speed of light in Ruby is [tex]1.75 \times 10^{8} \mathrm{m} / \mathrm{s}[/tex]

The refractive index of air with respect to glass​ is 0.666

Explanation:

The refractive index is the degree of diffraction of a light beam passing from one medium to another. It can also be defined as the ratio of the speed of light in an empty space to the speed of light in a material. The equation is given as

          [tex]\text {refractive index, n\ or } \mu=\frac{\text c}{\text {v}}[/tex]

Given data:

[tex]\mu_{\text {glass}}=1.52[/tex]

[tex]\mu_{r u b y}=1.71[/tex]

Velocity of light in vacuum, c = [tex]3 \times 10^{8} \mathrm{m} / \mathrm{s}[/tex]

We need to find velocity of glass, ruby and refractive index ratio of air and glass

To find velocity of glass,

[tex]1.52=\frac{3 \times 10^{8}}{\text {velocity of glass}}[/tex]

[tex]\text {velocity of glass}=\frac{3 \times 10^{8}}{1.52}=1.97 \times 10^{8} \mathrm{m} / \mathrm{s}[/tex]

To find velocity of ruby,

[tex]1.71=\frac{3 \times 10^{8}}{\text {velocity of Ruby}}[/tex]

[tex]\text {velocity of Ruby}=\frac{3 \times 10^{8}}{1.71}=1.75 \times 10^{8}\ \mathrm{m} / \mathrm{s}[/tex]

To calculate the refractive index of air with respect to glass:   =  [tex]\frac{\mathrm{n}_{\text {air}}}{\mathrm{n}_{\text {glass}}}[/tex]

We know, the value of the refractive index of air is 1

The value of the refractive index of glass is 1.5

So, the ratio of them should be [tex]\frac{1}{1.5}=0.666[/tex]

Answer:

Mechanical advantage of the ramp = [tex]\frac{980}{650} = 1.51[/tex]

Efficiency of the ramp = [tex]\frac{Actual\hspace{0.1cm} work\hspace{0.1cm} done}{Work}[/tex] = [tex]\frac{100\times 9.8\times 3}{650\times 5} = \frac{2940}{3250} = 0.9046 = 90.46%[/tex]

Explanation:

i) Mechanical advantage of the ramp = [tex]\frac{980}{650} = 1.51[/tex]

ii) Efficiency of the ramp = [tex]\frac{Actual\hspace{0.1cm} work\hspace{0.1cm} done}{Work}[/tex] = [tex]\frac{100\times 9.8\times 3}{650\times 5} = \frac{2940}{3250} = 0.9046 = 90.46%[/tex]

The mechanical advantage and the efficiency of the ramp are respectively;

330 N and 90%

I have drawn an image of the force diagram on the crate and attached it.

Applying Newton's second law to the force diagram attached, we have;

F_fric + F + N + mg = 0

Projecting forces gives us;

In the x-direction;

F = F_fric + mg*sin α

In the y-direction;

N - mg*cos α = 0

Also;

F_fric = μmg*cos α

Thus;

F = (μmg*cos α) + (mg*sin α)

Mechanical advantage is;

ΔF = mg - F

ΔF = mg - mg((μ cos α) + (sin α))

Since the ramp is 3 m high and 5 m long, then by trigonometric ratios;

(sin α) = 3/5

cos α = 4/5

But we are given that F is 650 N.

Thus;

ΔF = (100 × 9.8) - 650

ΔF = 330 N

Efficiency of the ramp is;

η = (mgh/Fl) × 100%

η = (100 × 9.8 × 3/(650 × 5)) × 100%

η ≈ 90%

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