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Vera_Pavlovna [14]
3 years ago
11

If 16,700 J of work is done to shoot the human cannonball down a 3.05 m barrel, then how much force is applied to the person to

fire them out the cannon?
Physics
1 answer:
nevsk [136]3 years ago
5 0

Answer:

5,480\:\text{N}

Explanation:

The formula for work is given by W=F\Delta x, where F is the force applied over a distance of \Delta x.

Plugging in given values, we get:

16,700=F\cdot 3.05,\\F=\frac{16,700}{3.05},\\F\approx \boxed{5,480\:\text{N}}(three significant figures).

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Monochromatic light of wavelength λ=620nm from a distant source passes through a slit 0.450 mm wide. The diffraction pattern is
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Answer:

The intensity of light from the 1mm from the central maximu is  I = 0.822I_o

Explanation:

From the question we are told that

                         The wavelength is \lambda = 620 nm = 620 *10^{-9}m

                         The width of the slit is w = 0.450mm = \frac{0.45}{1000} = 0.45*10^{-3} m  

                          The distance from the screen is  D = 3.00m

                           The intensity at the central maximum is I_o

                          The distance from the central maximum is d_1 = 1.00mm = \frac{1}{1000} = 1.0*10^{-3}m

        Let z be the the distance of a point with intensity I from central maximum

Then we can represent this intensity as

                     I = I_o [\frac{sin [\frac{\pi * w * sin (\theta )}{\lambda} ]}{\frac{\pi * w * sin (\theta )}{\lambda } } ]^2

    Now the relationship between D and z can be represented using the SOHCAHTOA rule i.e

            sin \theta = \frac{z}{D}

           

if the angle between the the light at z and the central maximum is small

Then  sin \theta =  \theta

   Which implies that

              \theta = \frac{z}{D}

substituting this into the equation for the intensity

             I = I_o [\frac{sin [\frac{\pi w}{\lambda} \cdot \frac{z}{D}  ]}{\frac{\pi w z}{\lambda D\frac{x}{y} } } ]

given that z =1mm = 1*10^{-3}m

   We have that

              I = I_o [\frac{sin[\frac{3.142 * 0.45*10^{-3}}{(620 *10^{-9})} \cdot \frac{1*10^{-3}}{3} ]}{\frac{3.142 * 0.45*10^{-3}*1*10^{-3} }{620*10^{-9} *3} } ]^2

                 =I_o [\frac{sin(0.760)}{0.760}] ^2

                 I = 0.822I_o

               

 

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