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When a light beam enters a transparent material at an angle of incidence, the refraction takes place. This transparent material is diamond.

The material through which a person can be able to see clearly, when light falls on it.

The Snell's law is the ratio of sine of angle of incidence to the sine of angle of refraction is equal to the ratio of refractive index of the two mediums.

sin i /sin r = n₂ / n₁

The angle of incidence of light is 38⁰ and angle of refraction is 14.76⁰. The air has refractive index is 1, then the refractive index of the transparent material is

n₂ = sin 38 x 1 /sin 14.76

n₂ = 2.4165

The refractive index of the transparent material is approximately 2.417.

Thus, the transparent material is diamond.

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Answer:

1m/s²

Explanation:

a = (v2 - v1) / t

= (3 - 1) / 2

= 1m/s²

Answer:

See below ~

Explanation:

ice wedging : mechanical weathering

oxidation : chemical weathering

abrasion : mechanical weathering

plant roots : biological weathering

hydrolysis : chemical weathering

Answer:

Rechargeable batteries can still go flat after repeated use because the materials involved in the reaction lose their ability to charge and regenerate

Explanation:

they go flat because they a rechargeable and sometimes don't always work

thank you hope u have a good day

The number of electrons running in a stream comprises the charge. The excess electrons on this balloon with the given charge are 2.9 × 10¹³.

The charge is the number of electrons flowing in the stream of current times the charge on that electrons.

Q= n×e

The charge on the electrons e =1.6×10⁻¹⁹ C and the given charge on the balloon is 3.5μC = 3.5×10⁻⁶ C

the number of the excess electrons will be

[tex]n=\dfrac{3.5\times10^{-6} C}{1.6\times10^{-19} C}=2.19\times10^{13}[/tex]

The excess electrons on this balloon with the given charge are 2.9 × 10¹³.

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Answer:

The correct answer is the Convex lens. An image is formed when a ray of light coming from a point intersects at another point. The image is formed by the real intersection of light. The image is formed by the virtual intersection of Light.

here is the site : textbook.com

The downward force on the 2. 67-cm piston that is required to lift a mass of 2000 kg supported by the 20-cm piston is 350 N.

Pressure applied to a closed system of fluid will be transfer at each point of the fluid and the boundaries of the system.

Let suppose at the two point of such system the input force apllied is F₁ and output force we get is F₂. The area of this points is A₁ and A₂ respectively. As the pressure at both point is same. Then by the pascal law,

[tex]\dfrac{F_1}{A_1}=\dfrac{F_2}{A_2}\\[/tex]

In case of radius,

[tex]\dfrac{F_1}{\pi r_1^2}=\dfrac{F_2}{\pi r_2^2}\\\\\dfrac{F_1}{r_1^2}=\dfrac{F_2}{ r_2^2}[/tex]

Two pistons of a hydraulic lift have radii of 2. 67 cm and 20. 0 cm, respectively. Thus,

[tex]r_1=2.67\rm\; cm[/tex]

[tex]r_2=20.0\rm\; cm[/tex]

The downward force on the 2. 67-cm piston that is required to lift a mass of 2000 kg supported by the 20-cm piston is The force applied on second piston is,

[tex]F_2=mg\\F_2=2000\times9.81\\F_2=19620 \rm\; N[/tex]

Put the values in the above formula,

[tex]\dfrac{F_1}{2.67^2}=\dfrac{19620}{20^2}\\F_1=\dfrac{19620\times2.67^2}{20^2}\\F_1\approx 350\rm\; N[/tex]

Thus, the downward force on the 2. 67-cm piston that is required to lift a mass of 2000 kg supported by the 20-cm piston is 350 N.

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Answer:

Explanation:

It is given that five cells of 2V are connected in series, so total voltage of the battery:

[tex]\dashrightarrow \: \: \sf V = 2 \times 5 = 10 V [/tex]

Three resistor of 5[tex]\Omega[/tex], 10[tex]\Omega[/tex], 15[tex]\Omega[/tex] are connected in Series, so the net resistance:

[tex]\dashrightarrow \: \: \sf R_{n} = R_{1} + R_{2} + R_{3}[/tex]

[tex]\dashrightarrow \: \: \sf R = 5 + 10 + 15 [/tex]

[tex]{ \pink{\dashrightarrow \sf \: \: { \underbrace{R = 30 \: \Omega}}}}[/tex]

According to ohm's law:

[tex]\dashrightarrow \sf\: \: V = IR [/tex]

[tex]\dashrightarrow \sf \: \: I = \dfrac{V}{R}[/tex]

On substituting resultant voltage (V) as 10 V and resultant resistant, as 30 [tex]{\pmb{\sf{\Omega}}}[/tex] we get:

[tex]\dashrightarrow \sf \: \: I = \dfrac{10V}{30\Omega}[/tex]

[tex]{ \pink{\dashrightarrow \sf \: \: { \underbrace{I = 0.33 A}}}}[/tex]

[tex]\therefore[/tex]The electric current passing through the above circuit when the key is closed will be 0.33 A

Answer:

Resistance = 5 + 10 + 15 = 30

Explanation:

Current= 0.33 Amperes

Answer:

Speedometer

Explanation:

Have a good day! :3

The distance the package above the ground when it was released, s ≈ 530 meters

The kinematic equation of motion gives the interrelationships of the variables of motion.The correct option for the distance the package above the ground when it was released, is the third option;

It is given that:

The velocity of the helicopter from which the package was dropped = 15 m/s

The time it takes the package to strike the ground = 12 seconds

The required parameter:

The height of the package from the ground when it was dropped

The kinematic equation of motion relating distance, s, time, t, acceleration due to gravity, g, initial velocity, u, and final velocity, v, is applied as follows;

The package continues the upward motion for some time, t₁, given as follows;

Upward motion of the package

v = u - g·t₁

v = 0 at highest point reached by the package;

Therefore;

0 = 15 m/s - 9.81 m/s²  × t₁

t₁ = 15 m/s/(9.81 m/s²) ≈ 1.5295022 seconds

The time the package takes to return to the initial starting point, t₂ = t₁

The time the package falls after returning to the point it was dropped, t₃, is given as follows;

t₃ = t - (t₂ + t₁) = t - 2 × t₁

∴ t₃ = 12 s - 2 × 1.5295022 s ≈ 8.940996 s

From the symmetry of the motion of a projectile, the velocity of the package when returns to its staring point where it was dropped = u (Downwards) = 15 m/s

The distance the package falls, s, which is the distance the package above the ground when it was released, is given as follows;

s = u·t + (1/2)·g·t²

s = 15× 8.940996  + (1/2) × 9.81 × 8.940996² = 526.22755346 ≈ 530

The distance the package falls, s ≈ 530 m = The height of the

The distance the package above the ground when it was released, s ≈ 530 meters

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Answer:

it would have to be 1 or maybe 2

Motion is a change in position measured by distance and time.

The universe is the collection of galaxies, The Andromeda Galaxy has spectral lines with blue shift. The conclusion is that the Universe has stopped expanding.

The Andromeda Galaxy is the nearest spiral neighbor that has spectral lines showing a blue shift.

Therefore, this concludes that, the Universe has stopped expanding. This galaxy is slowly shifting towards us.

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The number of electrons strike the screen each minute when thee current in the electron beam of a typical video display terminal is 200 µa is 7.5×10¹⁶.

Electric charge is equal to the product of electricity current flowing and the total time. It can be given as,

[tex]q=It[/tex]

Here, I is current and t is time.

The current in the electron beam of a typical video display terminal is 200 µa for one minute. Thus, the total charge is,

[tex]q=200\times10^{-6}\text{ A}\times(60\text{ s})\\q=0.012\rm \;C[/tex]

The number of electron flow is the ratio of total charge to the charge of one electron. The charge on one electron is 1.6×10⁻¹⁹ C. Thus, the number of electron is,

[tex]n=\dfrac{0.012}{1.6\times10^{-19}}\\n=7.5\times10^{16}[/tex]

Thus, the number of electrons strike the screen each minute when the current in the electron beam of a typical video display terminal is 200 µa is 7.5×10¹⁶.

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When white light shines on a thin film of soap, light is reflected from back surface of the film only.

Doppler Shift is the change in frequency of sound based on the observer’s point of view.

When white light falls on a thin film of soap, light gets reflected and refracted inside the soap. This results in refraction of the reflected light rays.

When white light shines on a thin film of soap, light is reflected from the back surface of the film only.

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The acceleration of the center of mass of the blocks-string-pulley system has magnitude equal to the ratio of difference to the sum of masses of block multiplied with gravitational acceleration.

The center of mass of a object or for a system of object is the point, where the center of distribution of mass in space. The center of mass for the two bodies can be given as,

It can be given as,

[tex]x_{cm}=\dfrac{m_1x_1+m_2x_2}{m_1+m_2}[/tex]

Here, (m) represents the mass and (x) represents the distance.

The acceleration of the center of mass of the blocks-string-pulley system has magnitude of a_cm has to be find out.

The image of the blocks-string-pulley system is attached below. The acceleration of this system is,

[tex]\vec a_{cm}=\left(\dfrac{m_1-m_2}{m_1+m_2}\right)g[/tex]

Thus, the acceleration of the center of mass of the blocks-string-pulley system has magnitude equal to the ratio of difference to the sum of masses of block multiplied with gravitational acceleration.

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Answer:

Cat with 6 kg sitting on a 30 meter hill has greater potential energy.

Explanation:

gravitational potential energy (J) = mass (kg) × gravitational field × height (m)

gravitational field in Earth is 10 N/kg = fixed unit

1st Cat: 4 kg

2nd Cat: 6 kg

Both of their height is 30 meters.

1st cat = mgh = 4 × 10 × 30 = 1200 Joules

2nd cat = mgh = 6 × 10 × 30 = 1800 Joules

Answer:

4 m/s

Explanation:

you moved 140 meters in 35 seconds

v = 140 / 35 = 4 m/s

Answer:

reflection

Explanation:

Answer: Reflection

Explanation: I have my ways :>

The period of the pendulum of length 3. 171 m when acceleration of gravity is 9. 832 m/s, is 3.57 seconds.

Pendulum is the body which is pivoted to a point and perform back and forth motion around that point by swinging due to the influence of gravity.

The time period of a pendulum is the time taken by it to complete one cycle of swing left to right and right to left.

It can be given as,

[tex]T=2\pi \sqrt{\dfrac{L}{g}}[/tex]

Here, (g) is the gravitational force of Earth and (L) is the length of the pendulum.

A pendulum of length 3.171 m. The acceleration of gravity is 9.832 m/s2. The period at the north pole is,

[tex]T=2\pi \sqrt{\dfrac{3.171}{9.832}}\\T=3.57\rm\; s[/tex]

Thus, the period of the pendulum of length 3. 171 m when acceleration of gravity is 9. 832 m/s, is 3.57 seconds.

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Resistance for 165 metres is 3 ohms.

The value of distance covered by the particle during the first 3 second which moves along a line so that its acceleration is 12t, is 54 ft.

Acceleration of an object is the rate of change of velocity of the object per unit time.

A particle moves along a line so that at time t0 its acceleration is given by [tex]a(t) = 12t\rm\; ft/sec^2[/tex]

The value of distance covered by the particle during the first 3 second has to be obtained.

Acceleration is the change in velocity (v) per unit time. Thus, the above equation can be written as,

[tex]a(t) = 12t\rm\; ft/sec^2\\\dfrac{dv}{dt}= 12t\rm\; ft/sec^2[/tex]

The equation can be solved as further.

[tex]\dfrac{dv}{dt}= 12t\\v= 6t^2+v_0\rm[/tex]

Here, the vo is the initial velocity which is equal to zero.

[tex]v=6t^2[/tex]

Velocity is the change in distance(s) per unit time. Thus, the above equation can be written as,

[tex]\dfrac{ds}{dt}=6t^2\\\dfrac{ds}{dt}=2t^3+s_0[/tex]

Here, the so is the initial position which is equal to zero. Thus,

[tex]s=2t^3[/tex]

Put the value of time t=3.

[tex]s=2(3)^3\\s=54\rm\; ft[/tex]

Thus, the value of distance covered by the particle during the first 3 second which moves along a line so that  its acceleration is given by a(t) = 12t is 54 ft.

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Answer:

If the length of the pendulum string increases, the period of time increases

Explanation:

The period of a simple pendulum is directly proportional to the square root of length of the pendulum

The magnitude of the vector sum of Q and S is determined as 0.6 m.

The magnitude of the vector sum of Q and S is determined from their resultant vector.

Qx = Qcosθ

Qy = Qsinθ

Qx = 0.321 x cos(123) = -0.175 m

Qy = 0.321 x sin(123) = 0.269 m

Sx = 0.876 x cos(-32.1) = 0.742 m

Sy = 0.876 x sin(-32.1) = -0.466 m

Qx + Sx = -0.175 m  + 0.742 m = 0.567 m

Qy + Sy = 0.269 m - 0.466 m = -0.197 m

R = √[(0.567)² + (-0.197) ²]

R = 0.6 m

Thus, the magnitude of the vector sum of Q and S is determined as 0.6 m.

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Final speed of the tennis ball, moving with a speed of 5. 82 m/s , has a head-on collision with a 0. 090-kg ball is 2.964 m/s.

Momentum of an object is the force of speed of it in motion. Momentum of a moving body is the product of mass times velocity. By the law of conservation of momentum,

[tex]m_1u_1 + m_2u_2 = (m_1+m_2)v[/tex]

Here, (m) is the mass, (u) is initial velocity before collision, v is final velocity after collision and (subscript 1, and 2) are used for body 1 and 2 respectively. Rewrite the formula for final velocity as,

[tex]v=\dfrac{m_1u_1 + m_2u_2}{(m_1+m_2)}[/tex]

A 0. 060-kg tennis ball, moving with a speed of 5. 82 m/s, has a head-on collision with a 0. 090-kg ball, initially moving in the same direction at a speed of 3.44 m/s. Thus, the initial velocity of the second ball is,

[tex]v_{2f}=5.82+3.44+v_{1f}\\v_{2f}=2.38+v_{1f}[/tex]

Let v1f is the final velocity of first ball. Thus, the initial velocity of the first ball is,

[tex]v_{1f}=\dfrac{(0.060)(5.82) + (0.090)(3.44-2.38)}{(0.060)+(0.090)}\\v_{1f}=2.964\rm\; m/s[/tex]

Thus, final speed of the tennis ball, moving with a speed of 5. 82 m/s , has a head-on collision with a 0. 090-kg ball is 2.964 m/s.

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When the narrow beam of ultrasound waves reflects off a liver tumor, the depth of the tumor is found to be 6.30 cm.

Snell's law states that the ratio of the sin of the angle of incidence to the angle of reflection is equal to the ratio of the speed of the wave in the first medium to the speed of the wave in the second medium.

[tex]\dfrac{sin\:i}{sin\:r} =\dfrac{v_{1} }{v_{2} }[/tex]

Where, i represents the angle of incidence and r is the angle of reflection.

Given the speed of sound in the liver is 10% less than in the medium, so

[tex]\dfrac{v_{liver} }{v_{medium} }=0.900[/tex]

According to the figure, the angle of incidence is 50°, then from the Snell's law, we have

[tex]sin\:r=(\dfrac{v_{liver} }{v_{medium} } )\times sin\:i\\\\r=sin^{-1} [(0.900)sin 50][/tex]

The angle of reflection comes out to be

r = 43.6°

From the law of reflection,

[tex]d =\dfrac{12\:\rm cm}{2} =6\:\rm cm[/tex]

The depth of the tumor is

[tex]h=\dfrac{d}{tan\:r} =\dfrac{6}{tan\:43.6} \\\\h=6.30\:\rm cm[/tex]

The depth of the tumor in the liver is 6.30 cm.

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