If an object is placed 10cm in front of a converging lens that has a focal length of 15cm. What are the properties of the image?

Answer:

F = 51.3°

Explanation:

The component of weight parallel to the inclined plane must be responsible for the rolling back motion of the car. Hence, the force required to be applied by the child must also be equal to that component of weight:

[tex]F = Parallel\ Component\ of\ Weight\ of\ Wagon= WSin\theta\\[/tex]

where,

W = Weight of Wagon = 150 N

θ = Angle of Inclinition = 20°

Therefore,

[tex]F = (150\ N)Sin\ 20^o[/tex]

F = 51.3°

Answer: A. Ar

Explanation: not anything else besides Ar

Answer: 2120 N is correct

Explanation: correct answer for acellus

Answer:

The Formula is

Change in Momentum = Force * Time

or /\P= F/\t

Plug the numbers into that formula,

P=(2,000N)(3S)

Now Multiply

Your Change in Momentum (Or P) would be 6,000N*s

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The magnitude of the change in the car's momentum = 6000 N.s

The rate of change of momentum is equal to impulse . It is the change in the product of mass and velocity of the body or it can be calculated as force times time period for which force is been applied

Change in momentum = impulse(if change occur for few seconds ) = Force * time period

given

Force = 2000 N

mass = 2000 kg

time = 3 seconds

Change in momentum  = 2000 * 3 = 6000 N.s

The magnitude of the change in the car's momentum = 6000 N.s

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Answer:

the charge generated in the circuit​ is 240 C.

Explanation:

Given;

current flowing in the circuit, I = 2A

time of current flow, t = 2 minutes = 2 x 60s = 120 s

The current flowing through a given circuit is defined as the quantity of charge flowing through the circuit in a given time.

[tex]I = \frac{Q}{t} \\\\Q = I t[/tex]

where;

Q is the charge flowing in the circuit

Q = 2 x 120

Q = 240 C

Therefore, the charge generated in the circuit​ is 240 C.

Answer:

a = 0.1962 m/s^2

Explanation:

The magnitude of kinetic friction exerted is given by

[tex]F_k=\mu_kN[/tex]

Where, μ_k= coefficient of kinetic friction= 0.02 and N = reaction force = mg

Where m= mass = 30 Kg and, g is acceleration due to gravity =9.81 m/s^2

F_k=0.02×30×9.81 =5.886 N

Now, since, there is no applied force this kinetic friction force will cause acceleration of the child

⇒ ma = F_k

here, a is the acceleration

⇒30a = 5.886

⇒ a = 0.1962 m/s^2

Answer: [tex]0.00680\ m^3[/tex]

Explanation:

Given

The weight of the object, when submerged in the water is [tex]980\ N[/tex]

When it is submerged in the bromine liquid, it weighs [tex]840\ N[/tex]

Suppose,

[tex]\rho=\text{Density of object}\\\rho_w=\text{Density of water}\\\rho_b=\text{Density of bromine}\\V=\text{Volume of the object}[/tex]

for water,

[tex]\Rightarrow V(\rho -\rho_w)g=980\quad \ldots(i)[/tex]

For bromine

[tex]\Rightarrow V(\rho-\rho_b)g=840\quad \ldots(ii)[/tex]

Divide (i) and (ii)

[tex]\Rightarrow \dfrac{\rho-1000}{\rho-3100}=\dfrac{980}{840}\\\\\Rightarrow 840\rho -840\times 1000=980\rho-980\times 3100\\\\\Rightarrow 140\rho=(3038-840)\cdot 1000\\\\\Rightarrow \rho=15,700\ kg/m^3[/tex]

Put the density value in equation (i)

[tex]\Rightarrow V(15,700-1000)\cdot 9.8=980\\\\\Rightarrow V=\dfrac{100}{14,700}\\\\\Rightarrow V=0.00680\ m^3[/tex]

Answer:

f = 4.67 cm

Explanation:

Here, we can use the thin lens formula, as follows:

[tex]\frac{1}{f}= \frac{1}{p}+ \frac{1}{q}\\\\[/tex]

where,

f = focal length of lens = ?

p = distance of object from lens = 12.4 cm

q = distance of image from lens = 7.5 cm

Therefore,

[tex]\frac{1}{f} =\frac{1}{12.4\ cm} +\frac{1}{7.5\ cm}\\\\\frac{1}{f} = \frac{1}{4.67\ cm}[/tex]

f = 4.67 cm

Answer:

False.

Explanation:

The voltage of a disconnected charged capacitor decreases when the plates are brought closer together because the capacitance is inversely proportional to the area. If the area between plates decreases, its capacitance increases and vice versa. There is direct relationship between voltage of a disconnected charged capacitor and plates. If the distance between plates decreases, the voltage of a disconnected charged capacitor is also decreases while on the other hand, if the distance between plates increases, the voltage of a disconnected charged capacitor is also increases.

Answer: 3.13 m

Explanation:

Given

mas of the ball is m=10 kg

The ball rolls down a vertical distance of 5 m

Spring constant of spring is [tex]k=100\ N/m[/tex]

Here, the potential energy of the ball converted into kinetic energy which in turn converts into elastic potential energy

[tex]\Rightarrow mgh=\frac{1}{2}kx^2\quad [\text{x=compression in the spring}]\\\\\Rightarrow 10\times 9.8\times 5=\frac{1}{2}\cdot 100\cdot x^2\\\Rightarrow x=\sqrt{9.8}\\\Rightarrow x=3.13\ m[/tex]

Thus, the spring compresses by 3.13 m.

Given :

A gerbil wheel has a radius of 3.2 inches. The gerbil can spin the wheel at a rate of 35 rotations per minute.

To Find :

The angular speed of the wheel in degrees per minute and the linear speed of wheel in inches per minute.

Solution :

Angular speed is given by :

[tex]\omega = 25\ rpm \\\\\omega = 25\times 360^o \ per \ minute\\\\\omega = 9000^o \ per \ minute[/tex]

Now, velocity is given by :

[tex]v = Radius\times \dfrac{RPM}{60\ sec/min}\times 2\pi\ rad/rev\\\\v = 3.2 \times \dfrac{35}{60}\times 2\pi\\\\v = 11.73\ m/s[/tex]

Hence, this is the required solution.

Answer:

49 kg is the mass of the couch.

Explanation:

GPE = mgh

9800 = m * 10 * 20

9800 = 200m

m = (9800/20) = 49 m

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Answer:

D

Explanation:

yes. The shortest object is traveling the fastest.

No,their lengths be used to rank the objects according to their speeds. Because the length of the object is depended on the frame of reference of the observer. Option A is correct.

A frame of reference is a mathematical and physical coordinate system whose origin, direction, and scale are given by a collection of reference points.

Because the length of each item is determined by the observer's frame of reference, If an observer is stationary yet traveling at near light speed, he will feel length contraction.

Otherwise, the length of the items should not alter for everyday pace.A spectator sees four identical objects flying at almost the speed of light.

No,their lengths be used to rank the objects according to their speeds. Because the length of the object is depended on the frame of reference of the observer.

Hence,option A is correct.

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Answer:

0.34 m/s^2

Explanation:

force=mass × acceleration

400 =1200 × acceleration

acceleration=400/1200

=0.34 m/s^2

Answer:

  I = 12 A

Explanation:

For this exercise we use the relationship that voltage is proportional to the product of current and resistance

           V = I R

            I = V / R

let's calculate

            I = 120/10

            I = 12 A

Answer:

E = 1.45 x 10⁹ J = 1.45 GJ

Explanation:

According to the law of conservation of energy:

Potential Energy Lost by Satellite = Kinetic Energy + Internal Energy

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

where,

E = Internal Energy = ?

m = mass = 400 kg

g = acceleration due to gravity = 9.81 m/s²

h = height = 500 km = 500000 m

v = speed on ground = 1.6 km/s = 1600 m/s

Therefore,

[tex]E = (400\ kg)(9.81\ m/s^2)(500000\ m)-\frac{1}{2} (400\ kg)(1600\ m/s)^2\\E = 1.962\ x\ 10^9\ J - 0.512\ x\ 10^9\ J[/tex]

E = 1.45 x 10⁹ J = 1.45 GJ

f = 1.32×10^4 N

Explanation:

We can use the work-energy theorem to find the work done by the braking force f:

W = ∆KE + ∆PE

= (KEf - KEi) + (PEf - PEi)

= [(1/2)mvf^2 - (1/2)mvi^2] + (mhf - mghi)

At the bottom of the slope, vf = 0 and hf = 0 and hi = dsin10° (d = braking distance) so work W becomes

W = -[(1/2)mvi^2 + mgdsin10°]

= -m[(1/2)vi^2 + gdsin10°]

= -(2320kg)[(1/2)(13.4m/s)^2 + (9.8 m/s^2)(22.5m)sin10]

= -2.97×10^5 J

Since W = fd, where f is the braking force, we can now solve for f:

f = W/d = (-2.97×10^5 J)/(22.5 m)

= -1.32×10^4 N

Note: the negative sign means that it is a dissipative force.

Average braking force is 1.32×10^4 N.

A force in physics is an effect that has the power to alter an object's motion. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

We can use the work-energy theorem to find the work done by the braking force f:

W = ∆KE + ∆PE

   = (KEf - KEi) + (PEf - PEi)

   = [(1/2)mvf^2 - (1/2)mvi^2] + (mhf - mghi)

At the bottom of the slope, vf = 0 and hf = 0 and hi = dsin10° (d = braking distance) so work W becomes

W = -[(1/2)mvi^2 + mgdsin10°]

= -m[(1/2)vi^2 + gdsin10°]

= -(2320kg)[(1/2)(13.4m/s)^2 + (9.8 m/s^2)(22.5m)sin10]

= -2.97×10^5 J

Since W = fd, where f is the braking force, we can now solve for f:

f = W/d = (-2.97×10^5 J)/(22.5 m)

= -1.32×10^4 N,  the negative sign means that it is a dissipative force.

Average braking force is 1.32×10^4 N.

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Answer:

it means a cell has 4.5Volt of electromtive force.

Answer: c.2

Explanation:

Answer:

The Answer is c. 2

Explanation:

I literally just got done with the quiz

Answer:

Explanation:

it would be 3 because ju divide 12 by 4

Answer:

a. True

Explanation:

The law of conservation of Energy states that energy cannot be destroyed but can only be converted or transformed from one form to another. Therefore, the sum of the initial kinetic energy and potential energy is equal to the sum of the final kinetic energy and potential energy.

Mathematically, it is given by the formula;

Ki + Ui = Kf + Uf .......equation 1

Where;

Ki and Kf are the initial and final kinetic energy respectively.

Ui and Uf are the initial and final potential energy respectively.

The First Law of Thermodynamics is another way to describe the Law of Conservation of Energy. Typically, the First Law of Thermodynamics states that the change of internal energy of a system is equal to the sum of external work and heat spent on the system.

Mathematically, the First Law of Thermodynamics is given by the formula;

ΔU = Q − W

Where;

ΔU represents the change in internal energy of a system.

Q represents the net heat transfer in and out of the system.

W represents the sum of work (net work) done on or by the system.

Hence, the direction in which any thermodynamic process in nature can spontaneously occur isn't stated by the First Law of Thermodynamics.

Answer:

η = 0.2 = 20%

Explanation:

The relationship between the thermal efficiency of a heat engine and the Coefficient of Performance (COP) of the corresponding Heat Pump is given as follows:

[tex]\eta = \frac{1}{COP_{HP}}[/tex]

where,

η = thermal efficiency = ?

[tex]COP_{HP}[/tex] = Coefficient of Performance of Heat Pump = 5

Therefore,

[tex]\eta = \frac{1}{5} \\\\[/tex]

η = 0.2 = 20%

Answer:

The diameter of the hole is 5.6164 μm

Explanation:

Given the data in the question;

wavelength λ = 633 nm = 633 × 10⁻⁹ m

L = 4.0 M

width of the central maximum D = 1.1 cm.

Now,

Y = D / 2

Y = 1.1 / 2 = 0.55 cm

So diameter of the aperture will be;

α = 1.22λ / ( Y / L )

we substitute in our values;

α = ( 1.22 × (633 × 10⁻⁹ m)) / ( 0.55 / 4.0 )

α = 0.00000077226 / 0.1375

α = 5.6164 × 10⁻⁶ m

α = ( 5.6164 × 10⁻⁶ × 10⁶ ) μm

α = 5.6164 μm

Therefore, the diameter of the hole is 5.6164 μm

Answer:

B,C,D

Explanation:

Ap3X

Answer: 0.390625 grams

Explanation:

A half-life of an element is the amount of time that it takes for half the mass of the element to decay.

Gold-198 having a half-life of 2.5 days therefore means that every 2.5 days, the mass is cut in half.

If there are 20 days, find out how many half-life periods there are:

= 20 / 2.5

= 8 periods

The half life is:

= Original mass * 0.5^number of half-life periods

= 100 * 0.5⁸

= 0.390625 grams

Answer:

De un modo más claro, los sistemas energéticos son los modos que tiene el organismo para suministrar ATP a los músculos. Como decimos, en todos los esfuerzos físicos es necesario contar con la cantidad suficiente de energía y esto viene determinado por la producción de ATP, el adenosin trifosfato.

Answer:

Explanation:

Given that:

To Calculate:

We know that:

We have:

Finding its density:

⟶ Density = 270/360

⟶ Density = 0.75

Hence,

Answer: Higher.

Explanation: The doppler effect essentially. "The Doppler effect can be described as the effect produced by a moving source of waves in which there is an apparent upward shift in frequency for observers towards whom the source is approaching and an apparent downward shift in frequency for observers from whom the source is receding."