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I am Lyosha [343]
3 years ago
14

You lay a mirror flat on the floor with one edge against a wall and aim a laser at the mirror. The ray reflects from the mirror

and strikes the wall. The plane of the incident and reflected rays is perpendicular to the wall. The ray from the laser strikes the mirror 30.7 cm from the wall, and the reflected ray strikes the wall 30.1 cm above the mirror. Find the angle of incidence of the laser ray on the mirror.
Physics
1 answer:
joja [24]3 years ago
4 0

Answer:

the angle of incidence θ is 45.56 º

Explanation:

Given data

strikes the mirror before wall x = 30.7 cm

reflected ray strikes the wall y =  30.1 cm

to find out

the angle of incidence θ

solution

let us consider ray is strike at angle  θ so after strike on surface ray strike to wall at angle 90 - θ

we will apply here right angle triangle rule that is

tan( 90 - θ) = y /x

tan( 90 - θ)  = 30.1 / 30.7

90 - θ = tan^-1 (30.1/30.7)

90 - θ = 44.4345

θ = 45.56 º

the angle of incidence θ is 45.56 º

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vovangra [49]

Answer:

1. 12 V

2a. R₁ = 4 Ω

2b. V₁ = 4 V

3a. A = 1.5 A

3b. R₂ = 4 Ω

4. Diagram is not complete

Explanation:

1. Determination of V

Current (I) = 2 A

Resistor (R) = 6 Ω

Voltage (V) =?

V = IR

V = 2 × 6

V = 12 V

2. We'll begin by calculating the equivalent resistance. This can be obtained as follow:

Voltage (V) = 12 V

Current (I) = 1 A

Equivalent resistance (R) =?

V = IR

12 = 1 × R

R = 12 Ω

a. Determination of R₁

Equivalent resistance (R) = 12 Ω

Resistor 2 (R₂) = 8 Ω

Resistor 1 (R₁) =?

R = R₁ + R₂ (series arrangement)

12 = R₁ + 8

Collect like terms

12 – 8 =

4 = R₁

R₁ = 4 Ω

b. Determination of V₁

Current (I) = 1 A

Resistor 1 (R₁) = 4 Ω

Voltage 1 (V₁) =?

V₁ = IR₁

V₁ = 1 × 4

V₁ = 4 V

3a. Determination of the current.

Since the connections are in series arrangement, the same current will flow through each resistor. Thus, the ammeter reading can be obtained as follow:

Resistor 1 (R₁) = 4 Ω

Voltage 1 (V₁) = 6 V

Current (I) =?

V₁ = IR₁

6 = 4 × I

Divide both side by 4

I = 6 / 4

I = 1.5 A

Thus, the ammeter (A) reading is 1.5 A

b. Determination of R₂

We'll begin by calculating the voltage cross R₂. This can be obtained as follow:

Total voltage (V) = 12 V

Voltage 1 (V₁) = 6 V

Voltage 2 (V₂) =?

V = V₁ + V₂ (series arrangement)

12 = 6 + V₂

Collect like terms

12 – 6 = V₂

6 = V₂

V₂ = 6 V

Finally, we shall determine R₂. This can be obtained as follow:

Voltage 2 (V₂) = 6 V

Current (I) = 1.5 A

Resistor 2 (R₂) =?

V₂ = IR₂

6 = 1.5 × R₂

Divide both side by 1.5

R₂ = 6 / 1.5

R₂ = 4 Ω

4. The diagram is not complete

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A student wants to demonstrate entropy using the songs on her portable music player. What should she do to demonstrate the lowes
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Answer:  A. play a single song by a single artist

Explanation: Entropy is the measure of randomness or disorder of a system.

A system that has more random distribution is considered to have more entropy and a system with ordered arrangement is considered to have less entropy.

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D. The new electric potential energy is 1/2as strong as the original

electric potential energy.

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A mass m1 hangs from a spring k and is in static equilibrium. A second mass m2 drops through a height h and sticks to m1 without
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Answer:

\mathbf{u(t) =\dfrac{m_2g }{k}(1 - cos \omega_n t) + \dfrac{\sqrt{2gh}}{\omega_n}\times \dfrac{m_1}{m_1+m_2}sin \omega _n t}

Explanation:

From the information given:

The equation of the motion can be represented as:

(m_1 +m_2) \hat u + ku = m_2 g--- (1)

where:

m_1 = mass of the body 1

m_2 = mass of the body 2

\hat u = acceleration

k = spring constant

u = displacement

g = acceleration due to gravity

Recall that the formula for natural frequency \omega _n = \sqrt{\dfrac{k}{m_1+m_2}}

And the equation for the general solution can be represented  as:

u(t) = A cos \omega_nt + B sin \omega _n + \dfrac{m_2g}{k} --- (2)

To determine the initial velocity, we have:

\hat u_2^2 = 2gh

\hat u_2 = \sqrt{2gh}

where h = height

Suppose we differentiate equation (2) with respect to time t; we have the following illustration:

\hat u (t) = - \omega_n A sin \omega_n t+ \omega_n B cos \omega _n t + 0

now if t = 0

Then

\hat u (0) = - \omega_n A sin \omega_n (0)+ \omega_n B cos \omega _n (0) + 0

= \omega _n B

Using the  law of conservation of momentum on the impact;

m_2 \hat  u_2=(m_1+m_2) \hat u (0)

By replacing the value of \hat u_2 with \sqrt{2gh

Then the above equation becomes:

m_2 \times \sqrt{2gh}=(m_1+m_2) \ u(0)

Making u(0) the subject of the formula, we have:

u(0)= \dfrac{ m_2 \times \sqrt{2gh}}{(m_1+m_2)}

Similarly, the value of the variable can be determined as follows;

Using boundary conditions

0 = A cos 0 + B sin 0 + \dfrac{m_2g}{k}

0 = A (1)+0+ \dfrac{m_2g}{k}

A =- \dfrac{m_2g}{k}

Also, if  \hat u (0) = \omega_nB

Then :

\dfrac{m_2}{m_1+m_2}\sqrt{2gh} = \omega_n B

making B the subject; we have:

B = \dfrac{m_2}{m_1 + m_2}\dfrac{\sqrt{2gh}}{\omega_n}

Finally, replacing the value of A and B back to the general solution at equation (2); we have the equation of the subsequent motion u(t) which is:

\mathbf{u(t) =\dfrac{m_2g }{k}(1 - cos \omega_n t) + \dfrac{\sqrt{2gh}}{\omega_n}\times \dfrac{m_1}{m_1+m_2}sin \omega _n t}

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