Sunlight reflects from a concave piece of broken glass, converging to a point 18 cm from the glass. What is the radius of curvature of the glass

\(\\ \sf\Rrightarrow K.E=\dfrac{1}{2}mv^2\)

\(\\ \sf\Rrightarrow 3.5=\dfrac{1}{2}m(17)^2\)

\(\\ \sf\Rrightarrow 7=289m\)

\(\\ \sf\Rrightarrow m=\dfrac{7}{289}\)

\(\\ \sf\Rrightarrow m=0.024kg\)

Answer:

Explanation:

The centripetal force is always directed perpendicular to the direction of the object's displacement.

Using Newton's second law of motion, it is found that the centripetal force of an object moving in a circular path always acts towards the center of the circle.

Answer:

Explanation:

We know the frequency and the velocity, both of which have good units. All we have to do is rearrange the equation and solve for

λ

:

λ

=

v

f

Let's plug in our given values and see what we get!

λ

=

340

m

s

440

s

−

1

λ

=

0.773

m

(a) The ball cleared the crossbar by 10.23 m.

(b) The ball approaches the crossbar while falling.

The maximum height reached by the ball is calculated by applying the following kinematic equation as shown below;

H = u² sin²θ / 2g

where;

H = (20.2² x (sin 53)²) / (2 x 9.8)

H = 13.28 m

ΔH = 13.28 m - 3.05 m = 10.23 m

The horizontal distance travelled by the ball is calculated as follows;

R = u² sin(2θ) / g

R = (20.2² sin(2 x 53) ) / (9.8)

R = 40 m

Thus, the ball cleared the crossbar and since the maximum height travelled by the ball is far greater than the height of the crossbar, the ball will approach the crossbar while falling.

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Change in the momentum of the object with mass 4.9 kg on which force of 6.36 N acts for 20.4 s is 31.164kgm/s and change in velocity is 6.36m/s

As we know Force acting on any object is

F = m.a...........(1)

where m ⇒ mass

and a ⇒ acceleration

Also \(a=\frac{v}{t}\)..........(2)

where v ⇒ velocity

t ⇒ time

so equation (1) can be written as:

\(F=\frac{m.v}{t}\)..........(3)

Change in Momentum is equal to

p=m.v.......(4)

where m ⇒ mass

v ⇒ velocity

Now as per the question:

Force, F = 6.36 N

Mass, m = 4.9 kg

Time, t = 20.4s

putting the values in equation (3),

we get \(6.36=\frac{4.9*v}{20.4}\)

by solving this we get a value of v=6.36m/s

putting the values in equation (4)

we get, Change in momentum

\(p=4.9*6.36\\p=31.164kg m/s\)

so the change in velocity is 6.36m/s and change in momentum is 31.164kgm/s

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Relative to the movement of the building,  a mass damper on the roof of an earthquake resistant building move in the opposite direction.  The correct option is C.

Mass dampers absorbs the kinetic energy of the waves, converting them into the heat energy. This heat energy is dissipated to the hydraulic fluid.

The mass dampers used on roof of the buildings are called as the tuned mass dampers. They are also known as seismic dampers. When seismic wave strikes the building, it vibrates and sways. The kinetic energy of theses waves are absorbed by movement of the mass damper. The kinetic energy is converted to the heat energy which in turn is transmitted to the fluid.

Relative to the movement of the building, a mass damper on the roof of an earthquake resistant building move in the opposite direction.

Thus, the correct option is C.

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Considering the coordinates of the radars as well as the direction of the object in order to determine the object's position in terms of distance and angle. Sincе thе radars arе situatеd at (0,0) and thе sеcond radar is on thе еast sidе of thе first onе, wе can assumе that thе first radar is locatеd on thе x-pivot and thе sеcond radar is locatеd on thе positivе y-hub.

Lеt's say thе objеct is dеtеctеd at coordinatеs (x, y). The objесt's y-coordinativity will be negative and its x-coordinativity positive as it approaches the southern direction in the first quadrant.

We can use the distancе formula to determine the object's diameter from its origin (0, 0):

Distancée = (x + y) 2 The angle can be calculated with trigonometry. The angle can be summarized as:

= arctan(y/x) ii) We must consider the circles of overlap for each radar in order to calculate the overlap from the radar signal intersection in the first quadrant.

Due to the fact that both radars have distinctive overlap and divide the covered area into circles, the overlapped area will be the intersection of these circles.

Thе ovеrlapping arеa can bе calculatеd by finding thе arеa of thе intеrsеction of two circlеs. The formula for the area of the intersection of two circles can be complex and depends on the specific radii and dimensions that exist between the circles' centers.

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Answer:

7.43 m/s

Explanation:

Time taken for car to stop = 7.0 s

distance traveled before coming to rest = 26 m

Final speed of the car = 0 m/s (since it stops)

initial speed of the car = ?

To get the final speed, we use the equation

s = \(\frac{1}{2}t(u + v)\)

where

s is the distance traveled before stopping

u is the initial speed = ?

v is the final speed = 0 m/s

t is the time = 7 s

substituting values, we have

26 = \(\frac{1}{2}*7*(u + 0)\)

26 = 3.5u

u = 26/3.5 = 7.43 m/s

Answer:

A

Explanation:

The kinetic energy decreases to half its original value.

Answer:

117,30m

Explanation:

I think the situation here is a horizontal projection to the ground. So in order to find the distance the formula = Ut, where U is the initial speed and t is the Time of flight. To get the time of flight in this case =√2h/g where h is the height and g is gravity. so to get the time = √2×300÷9.81 =7.821 .so range =ut which is equal to the time multiplied by 15m/s =117.30m

Hi there!

To find the total distance traveled, we must find the time taken to fall down.

Ignore the horizontal velocity when dealing with the vertical direction. We can use the simplified equation:

\(t = \sqrt{\frac{2h}{g}{}}\)

Plug in the given values:

\(t = \sqrt{\frac{2(300)}{9.81}} = 7.821 sec\)

Use the equation:

Δd = vt

Plug in the time and horizontal velocity:

Δd = (15)(7.821) = 117.30m

In Chapter 2 section 2.21, it is stated that in a cathode ray tube, electrons pass from the cathode to the anode. This is because the cathode is negatively charged, while the anode is positively charged.

The flow of electrons is controlled by an electric field between the cathode and anode, which causes the electrons to move towards the anode. Therefore, the correct answer to the question is option B) electrons pass from the cathode to the anode.

In Chapter 2, Section 2.21, regarding a cathode ray tube, the correct answer is B) electrons pass from the cathode to the anode. The cathode emits electrons, which are attracted to the positively charged anode, resulting in the flow of electrons in the tube.

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Answer:

After the dielectric is inserted the capacitance is increased hence the stored energy is also increased . It may be noted here that since voltage between the capacitor V0 is constant the electric field between the plates also remains constant .

Answer:

geocentric- The geocentric model is an Earth-centered model that was first summarized by Ptolemy. In the model the Earth is motionless at the center of Universe.

The equivalent resistance between points A and B in the diagram is 22 Ω

We shall begin by obtaining the equivalent resistance in parallel (i,e the three 6 Ω resistor). Details below:

1/Rₜ = 1/R₁ + 1/R₂ + 1/R₃

1/Rₜ = 1/6 + 1/6 + 1/6

1/Rₜ = 3/6

1/Rₜ = 1/2

Rₜ = 2 Ω

Finally, we shall determine the equivalent resistance between A and B (i.e series arrangement). Details below:

R = R₁ + R₂ + R₃ + R₄ + R₅ + R₆ + R₇ + R₈ + R₉ + R₁₀ + R₁₁

R = 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2

R = 22Ω

Thus, we can conclude that the equivalent resistance is 22 Ω

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The amount of energy used to heat a home can be measured in kilowatt hours. It is the energy used per one hour. The rate of energy consumption is expressed here.

Power is a physical quantity expressing the work done or energy per unit time. Hence, power is the rate of energy or work done by an object. The unit of power is Watt. The unit of energy and work is joules.

For higher consumption of energy, power is expressed in kilowatts. Work or energy is the product of power input and time.

Hence,

W in J = power in Watt/ time in hours.

The unit of energy consumption in home is measure in kilowatt energy. Its says the energy consumption per one hour of time. Hence, option b is correct.

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Answer: Negative

Explanation: If electric field lines point radially toward a charge, that charge must be Negative

Answer:

A thesis should be a statement that can be argued.

Explanation:

The attractive Coulombic force between the proton and electron is approximately 2.3 x 10^-8 N.

To calculate this force, we can use Coulomb's law: F = (kq1q2)/r^2, where F is the force, k is Coulomb's constant, q1 and q2 are the charges of the two particles, and r is the distance between them. Plugging in the values, we get F = (9x10^9 Nm^2/C^2)(1.6x10^-19 C)*(-1.6x10^-19 C)/(4x10^-18 m^2) = -2.3x10^-8 N. The negative sign indicates that the force is attractive.

In summary, the attractive Coulombic force between the proton and electron is -2.3 x 10^-8 N, which is found using Coulomb's law and the charges and distances given in the problem.

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Answer:

air above a wild fire

Explanation:

the type of current formed in the pot is referred to as a convectional current which forms when the heated fluid rises making the cool fluid descend the same happens with the air above a wildfire a convectional current will form when the warm air rises and the cool air descends.the main reason for tge descending and ascending is that the air or liquid closest to the source of heat will get heated making it lighter but the air or liquid tgat was further from the source of heat will not be as light so as the warm fluid rises, the cool fluid descends.

Answer:

air above a wildfire

Explanation

Answer:

a) 6498.84 kW

b) 0.51

c) 0.379

Explanation:

See the attached picture below for the solution

Given-

Temperature at state 1 \(T_{1}\) is 40 degree cel. This is equal to the 313 K.

Temperature at state 1 \(T_{2}\) is 650 degree cel. This is equal to the 923 K.

To know the mass flow rate use the idol gas equation. Idol gas equation for a substance can be given as,

\(PV=nRT\)

Rewrite this equation for \(n\),

\(n=\dfrac{PV}{RT}\)

Put the value of known variable from the question,

\(n=\dfrac{100\times\dfrac{850}{60} }{0.287\times 313}\)

\(n=15.77\)

Thus the value of n is 15.77 kg/sec.

Temperature at state 2 is,

In Bryon cycle we know that the processes 1-2 and 3-4 are isotropic. Hence,

\(T_{2} =T_{1}\left (1+ \dfrac{r_{p}^{\dfrac{\gamma-1}{\gamma}-1} }{c_{v} } \right )\)

\(T_{2} =313\left (1+ \dfrac{16^{\dfrac{1.35-1}{1.35}-1} }{0.821 } \right )\)

\(T_{2} =700\)

Temperature at state 3 is,

\(T_{3} =\dfrac{T_4}{1+c_p(r_p^{\dfrac{\gamma-1}{\gamma}-1}-1)}\)

Put the value in above equation we get,

\(T_3=1682\)

\(W=mc_p(T_i{n}-T_{out})\)

\(W=mc_p(T_3-T_2-T_4+T_{1})\)

\(W=15.77\times1.109(1682-700-923+313)\)

\(W=65\)

Thus the net power output is 70 watt.

\(r_b=\dfrac{T_2-T_1}{T_3-T_4}\)

\(r_b=\dfrac{700-313}{1682-923}\)

\(r_b=0.51\)

Hence the back work ratio is 0.51.

\(\eta=\dfrac{W}{Q_{in}}\)

\(\eta=\dfrac{65}{mc_p(T_3-T_2)}\)

\(\eta=0.379\)

Hence, for the given problem the net power output is 70 watt,the back work ration is 0.51, and the thermal efficiency is 0.379.

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Situations in which mass of an object is the main factor of momentum are :

The factors that have a direct effect on an object's momentum are ;

The momentum of an object is determined by the multiplication of the mass of object by its velocity/speed. therefore some examples of situation in which mass is a main factor determining momentum are as listed above.

p ( momentum ) = M* V

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The wavelength of a wave is given by the velocity of the wave divided by the frequency:

λ = v / f

where v is the velocity of the wave (3.00 × 108 m/s) and f is the frequency (9.23 × 107 Hz). Plugging in the given values:

\(λ = 3.00 × 10^8 m/s / 9.23 × 10^7 Hz = 3.25 m\)

So the answer is C. 3.25 m

Wavelength is a measure of the distance between two consecutive peaks or troughs of a wave. It is a characteristic property of a wave and determines its type (e.g. light wave, sound wave, etc.).

Wavelength can be calculated using the following formula:

λ = v / f

where λ is the wavelength, v is the velocity of the wave and f is its frequency. The velocity of the wave depends on the medium through which it is propagating (e.g. air, water, vacuum, etc.), while the frequency is a measure of the number of complete cycles of the wave that occur in one second.

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Answer:

\( \gamma \: dynamo \: converts \: the \: mechanical \: energy \: into \: electrical \: energy \: .\)

Explanation:

Hope it helps you :)))

Answer:

.

Explanation:

Answer:

Explanation:

The puppy starts and ground level and goes up a flight of stairs 10 m weighs 30N. The weight doesn't change so the only thing that can is the height.

Energy change = F * d

Energy change = 30 * 10

Energy change = 300 J

Answer:

The new pressure will be 12 atm

Answer: A-B-C-E-G-K-H-I

Explanation:

Ok, we start at A.

16 pints = x gallons.

We know that:

1 pint = 0.125 al

then:

16pint = 16*(0.125gal) = 2 gal.

The second letter is B.

Now we have:

12,320 yd = X mi

And we know that:

1 mi = 1760 yd.

Then 12,320yd = (12,320/1760) mi = 7mi

the letter is C.

Now we have:

432 cups = X gals

and:

1 cup = 0.0625 gal

then 432 cups = 432*(0.0625 gal) = 27 gal.

The next letter is E.

Now we have:

1/4 ton = X pounds.

And 1 ton = 2000 pounds

then 1/4 ton = (1/4)*2000 pounds = 500 pounds

The next letter is G.

Now we have:

3.5 gal = X ounces.

and we know that:

1 gal = 128 oz

Then:

3.5 gal = 3.5*(128oz) = 448oz

The next letter is K.

Now we have:

1/2 day = x minutes.

and we know that:

1 day = 24*60 min = 1440 min

then 1/2 day = (1/2)*1440 min = 720 min.

The next letter is H.

Now we have:

360 in = x yd

And we know that:

1yd = 36 inches.

then 360 in = (360/36) = 10 yd.

The next letter is I

Now we have:

56 cups = x quarts.

and we know that;

1cup = 0.25 quart

then: 56 cups = 56*0.25 quart = 14

So here this ends.

Then the code is:

A-B-C-E-G-K-H-I

Answer:

You need to divide 200 by 23 seconds in order to get your answer.

The planet Ralph is falling into is Jupiter.

Ralph can use the period of the pendulum he created to determine the gravitational field strength of the planet he is falling into. The formula for the period of a pendulum is T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the gravitational field strength. Rearranging this formula to solve for g, we get g = 4π²(L/T²).

Plugging in the values given, we get:

For Jupiter, g = 4π²(0.05 m)/(0.282 s)² = 24.59 m/s²

For Saturn, g = 4π²(0.05 m)/(0.282 s)² = 10.34 m/s²

For Neptune, g = 4π²(0.05 m)/(0.282 s)² = 11.03 m/s²

For Uranus, g = 4π²(0.05 m)/(0.282 s)² = 8.76 m/s²

Comparing the calculated values to the table given, we can see that the closest match is Jupiter with a gravitational field strength of 24.79 m/s². Therefore, Ralph is falling into Jupiter.

What is jupiter?

Jupiter is the fifth planet from the sun and the largest planet in our solar system. It is a gas giant, which means it is mostly composed of hydrogen and helium, and it has no solid surface. Instead, the gas gradually becomes denser and hotter as you move closer to the center of the planet.

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Initial temperature (I.T.) is described in 21 CFR 113.3(l) as the average temperature of the contents of the coldest container to be processed at the start of the thermal processing cycle, as determined following thorough stirring or shaking of the filled and sealed container.

To calculate the final heat of your substance, add the temperature change to the starting point. If your water started off at 24 degrees Celsius, for instance, the end temperature would be 24 + 6, or 30 degrees Celsius. Where the velocity is unknown, one uses the equation: KE=12mv2 K E = 1 2 m v 2 to calculate the initial kinetic energy. The final Potential Energy is calculated using the formula: PE=mgh P E = m g h, where h is the height of 50 meters.

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