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Mrrafil [7]
3 years ago
9

A plane mirror and a concave mirror (f = 8.40cm) are facing each other and are separated by a distance of 22.0 cm. An object is

placed between the mirrors and is 11.0 cm from each mirror. Consider the light from the object that reflects first from the plane mirror and then from the concave mirror. What is the distance of the image (di) produced by the concave mirror?
Physics
1 answer:
lesya [120]3 years ago
4 0

Answer:

The distance of the image produced by the concave mirror is 11.27 cm.

Explanation:

Given that,

Focal length = 8.40 cm

Distance between object and plane mirror = 11.0 cm

Distance between plane mirror and concave mirror = 22.0 cm

We need to calculate the object distance

u =11.0+22.0 = 33.0\ cm

We need to calculate the distance of the image

Using formula of distance of the image

v=\dfrac{uf}{u-f}

Where, u = Object distance

f = focal length

Put the value into the formula

v=\dfrac{33.0\times8.40}{33.0-8.40}

v=11.27\ cm

Hence, The distance of the image produced by the concave mirror is 11.27 cm.

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The highest frequencies humans can hear is about 20000 Hz. What is the wavelength of sound in air at this frequency? The speed o
White raven [17]

Answer:

0.017 m

Explanation:

Wavelength: This can be defined as the distance covered in one complete oscillation by a wave. The S.I unit of wave length is meter (m).

The expression for wave length is given as

v = λf ............................... Equation 1

Where v = speed of sound in air, λ = wave length of sound, f = frequency of sound.

make λ the subject of the equation,

λ = v/f ............................... Equation 2

Given: v = 340 m/s, f = 20000 Hz

Substitute into equation 2

λ = 340/20000

λ = 0.017 m.

Hence the wave length of sound in air = 0.017 m

4 0
3 years ago
Two manned satellites approach one another at a relative velocity of v=0.190 m/s, intending to dock. The first has a mass of m1=
drek231 [11]

Answer:

Their final relative velocity is 0.190 m/s

Explanation:

The relative velocity of the satellites, v = 0.190 m/s

The mass of the first satellite, m₁ = 4.00 × 10³ kg

The mass of the second satellite, m₂ = 7.50 × 10³ kg

Given that the satellites have elastic collision, we have;

v_2 = \dfrac{2 \cdot m_1}{m_1 + m_2} \cdot u_1 - \dfrac{m_1 - m_2}{m_1 + m_2} \cdot u_2

v_2 = \dfrac{ m_1 - m_2}{m_1 + m_2} \cdot u_1 + \dfrac{2 \cdot m_2}{m_1 + m_2} \cdot u_2

Given that the initial velocities are equal in magnitude, we have;

u₁ = u₂ = v/2

u₁ = u₂ = 0.190 m/s/2 = 0.095 m/s

v₁ and v₂ = The final velocities of the satellites

We get;

v_1 = \dfrac{2 \times 4.0 \times 10^3}{4.0 \times 10^3 + 7.50 \times 10^3} \times 0.095 - \dfrac{4.0 \times 10^3- 7.50\times 10^3}{4.0 \times 10^3+ 7.50\times 10^3} \times 0.095 = 0.095

v_2 = \dfrac{ 4.0 \times 10^3 - 7.50\times 10^3}{4.0 \times 10^3 + 7.50 \times 10^3} \times 0.095 + \dfrac{2 \times 7.50\times 10^3}{4.0 \times 10^3+ 7.50\times 10^3} \times 0.095 = 0.095

The final relative velocity of the satellite, v_f = v₁ + v₂

∴ v_f = 0.095 + 0.095 = 0.190

The final relative velocity of the satellite, v_f = 0.190 m/s

4 0
3 years ago
A sample of a material has 200 radioactive particles in it today. Your great-grandmother measured 400 radioactive particles in i
uysha [10]
It will have 100 radioactive particles.
6 0
4 years ago
Read 2 more answers
The kinetic energy of an object with a mass of 6.8 kg and a velocity of 5.0 m/s is [BLANK] J. (Report the answer to two signific
dmitriy555 [2]
<h2>Hello!</h2>

The answer is:

The kinetic energy of the object is equal to 85 J.

<h2>Why?</h2>

The kinetic energy involves the speed and the mass of an object in motion. We can calculate the following the work needed to speed an object (kinetic energy) using the equation:

KineticEnergy=\frac{1}{2}mv^{2}

Where,

m, is the mas of the object

v, is the speed of the object.

Now, we are given:

mass=m=6.8kg\\speed=v=5\frac{m}{s}

So, substituting and calculating the kinetic energy of the object, we have:

KineticEnergy=\frac{1}{2}*6.8kg*(5\frac{m}{s})^{2}

KineticEnergy=\frac{1}{2}*6.8kg*(25\frac{m^{2}}{s^{2}})

KineticEnergy=\frac{1}{2}*170kg\frac{m^{2}}{s^{2}}

KineticEnergy=85kg\frac{m^{2}}{s^{2}}=85J

We have that the kinetic energy of the object is equal to 85 J.

Have a nice day!

8 0
3 years ago
Read 2 more answers
A particle is released as part of an experiment. Its speed t seconds after release is given by v (t )equalsnegative 0.4 t square
torisob [31]

Answer:

a) 2.933 m

b) 4.534 m

Explanation:

We're given the equation

v(t) = -0.4t² + 2t

If we're to find the distance, then we'd have to integrate the velocity, since integration of velocity gives distance, just as differentiation of distance gives velocity.

See attachment for the calculations

The conclusion of the attachment will be

7.467 - 2.933 and that is 4.534 m

Thus, The distance it travels in the second 2 sec is 4.534 m

6 0
3 years ago
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