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arsen [322]
3 years ago
6

Optical tweezers use light from a laser to move single atoms and molecules around. Suppose the intensity of light from the tweez

ers is 1000 W/m2, the same as the intensity of sunlight at the surface of the Earth.
Required:
a. What is the pressure on an atom if light from the tweezers is totally absorbed? ?
b. If this pressure were exerted on a tritium atom, what would be its acceleration?
Physics
1 answer:
WITCHER [35]3 years ago
7 0

Answer:

Explanation:

a )

If it is totally absorbed pressure is calculated as follows .

Pressure = I / c where I is intensity of light falling .

= 1000 / 3 x 10⁸

= 3.33 x 10⁻⁶ N / m²

b ) weight of tritium atom

=  3 x 1.67 x 10⁻²⁷ kg

acceleration = force / mass

=    3.33x 10⁻⁶ / 3 x 1.67 x 10⁻²⁷

= .6646 x 10²¹ m /s²

= 66.46 x 10¹⁹ m / s²

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A circular-motion addict of mass 82.0 kg rides a Ferris wheel around in a vertical circle of radius 10.0 m at a constant speed o
alisha [4.7K]

Answer:

(a) Time period is 8.85 s

(b) Normal force at the highest point is 390.2 N

(c) Normal force at the lowest point is 1217 N

Explanation:

Given:

Mass of person, m = 82.0 kg

Radius of the wheel, r = 10.0 m

Speed of the wheel, v = 7.10 m/s

(a) Time period of the circular motion is determine by the relation:

T=\frac{2\pi r}{v}

Substitute the suitable values in the above equation.

T=\frac{2\pi\times10 }{7.10}

T = 8.85 s

(b) The normal force ( F ) at the highest point of the circular path is given by the relation:

F = F₁ - F₂     ....(1)

Here F₁ is gravitational downward force acting on the person and F₂ is the centripetal force.

Gravitational Force, F₁ = mg

Here g is acceleration due to Earth's gravity.

Centripetal force, F₂ = mv²/r

Thus, the equation (1) becomes:

F=mg-\frac{mv^{2} }{r}

Substitute the suitable values in the above equation.

F=82\times9.8-\frac{82\times7.10^{2} }{10}

F = 390.2 N

(c) The normal force ( F ) at the lowest point of the circular path is given by the relation:

F = F₁ + F₂     ....(2)

Here F₁ is gravitational downward force acting on the person and F₂ is the centripetal force.

Thus the equation (2) becomes:

F=mg+\frac{mv^{2} }{r}

F=82\times9.8+\frac{82\times7.10^{2} }{10}

F = 1217 N

8 0
3 years ago
Trolley A has a mass of 2kg and is moving at 2m/s. It collides with trolley B, which has the same mass but is stationary. What i
Aleksandr-060686 [28]
Assuming your two trolleys stick together after the collision, your momentum equation would be M1V1+M2V2=(M1+M2)V3 and since V2 is 0, then 2x2=(2+2)V3, thereore the final velocity would be 1, wich would make the final momentum 4
5 0
4 years ago
Nan investigated how many students at her high school had summer jobs. Which of the following is the procedure of her investigat
aalyn [17]
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7 0
3 years ago
g Two cars, car 1 and car 2 are traveling in opposite directions, car 1 with a magnitude of velocity v1=13.0 m/s and car 2 v2= 7
bogdanovich [222]

Answer:

When they are approaching each other

    f_a = 2228.7 \  Hz

When they are passing  each other

    f_a = 2100Hz

 When they are retreating  from each other

     f_a =  1980.7 Hz

Explanation:

From the question we are told that

     The velocity of car one is  v_1 = 13.0 m/s

      The velocity of car two is  v_2 = 7.22 m/s

     The frequency of sound from car one is  f_e = 2.10 kHz

Generally the speed of sound at normal temperature is  v = 343 m/s

  Now as the cars move relative to each other doppler effect is created and this  can be represented  mathematically  as

              f_a = f_o [\frac{v \pm v_o}{v \pm v_s} ]

Where v_s is the velocity of the source of sound

            v_o is the velocity of the observer of the sound

            f_o is the actual frequence

             f_a  is the apparent frequency

Considering the case when they are approaching each other

        f_a = f_o [\frac{v +  v_o}{v -  v_s} ]

          v_o = v_2  

         v_s = v_1

         f_o = f_e

Substituting value

            f_a = 2100  [\frac{343 +  7.22}{ 343  -  13} ]

              f_a = 2228.7 \  Hz

Considering the case when they are passing  each other    

At that instant

                  v_o = v_s = 0m/s

                   f_o = f_e

               f_a = f_o [\frac{v }{v } ]

              f_a = f_o

Substituting value

             f_a = 2100Hz

Considering the case when they are retreating  from each other    

                f_a = f_o [\frac{v -  v_o}{v +   v_s} ]

          v_o = v_2  

         v_s = v_1

         f_o = f_e      

Substituting value

         f_a = 2100  [\frac{343 -  7.22}{343 +   13} ]    

          f_a =  1980.7 Hz    

7 0
4 years ago
A series circuit that is connected to a 50 V, 60 Hz source is made up of 25 ohm resistor, capacite wieh X= 18 ohms, and inductor
Allisa [31]

Answer:

the impedance of the circuit is 25.7 ohms.

Explanation:

It is given that,

Voltage, V = 50 volts

Frequency, f = 60 Hz

Resistance, R = 25 ohms

Capacitive resistance, X_C=18\ ohms

Inductive resistance, X_L=24\ ohms

We need to find the impedance of the circuit. It is given by :

Z=\sqrt{R^2+(X_L-X_C)^2}

Z=\sqrt{25^2+(24-18)^2}

Z = 25.7 ohms

So, the impedance of the circuit is 25.7 ohms. Hence, this is the required solution.

6 0
3 years ago
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