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lukranit [14]
3 years ago
9

A clay ball with a mass of 0.48kg has an initial speed of 4.08m/s it strikes a 3.04kg clay ball at rest and the two balls stick

together and remain stationary. What is the decrease in kinetic energy of the 0.48kg ball
Physics
1 answer:
Rom4ik [11]3 years ago
5 0
Final velocity = 0, thus final kinetic energy is 0
Initial kinetic energy:
0.5mv²
= 0.5 x 0.48 x 4.08²
= 4.0 J
Decrease in kinetic energy = 4 - 0 = 4 Joules
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Complete Question

The complete question is shown on the first uploaded image

Answer:

The value of n is n =7

Explanation:

    From the question we are told that

          The value of m = 2

            For every value of m, n = m+ 1, m+2,m+3,....

           The modified version of  Balmer's formula is \frac{1}{\lambda}  = R [\frac{1}{m^2} - \frac{1}{n^2}  ]

             The Rydberg constant has a value of R = 1.097 *10^{7} m^{-1}

The objective of this solution is to obtain the value of n for which the wavelength of the Balmer series line is smaller than 400nm

   

For m = 2 and n =3

    The wavelength is

                          \frac{1}{\lambda } = (1.097 * 10^7)[\frac{1}{2^2} - \frac{1}{3^2}  ]

                          \lambda = \frac{1}{1523611.1112}

                             \lambda = 656nm

For m = 2 and n = 4

    The wavelength is

                          \frac{1}{\lambda } = (1.097 * 10^7)[\frac{1}{2^2} - \frac{1}{4^2}  ]

                          \lambda = \frac{1}{2056875}

                             \lambda = 486nm

For m = 2 and n = 5

    The wavelength is

                          \frac{1}{\lambda } = (1.097 * 10^7)[\frac{1}{2^2} - \frac{1}{5^2}  ]

                          \lambda = \frac{1}{2303700}

                             \lambda = 434nm

For m = 2 and n = 6

    The wavelength is

                          \frac{1}{\lambda } = (1.097 * 10^7)[\frac{1}{2^2} - \frac{1}{6^2}  ]

                          \lambda = \frac{1}{2422222}

                             \lambda = 410nm

For m = 2 and n = 7

    The wavelength is

                          \frac{1}{\lambda } = (1.097 * 10^7)[\frac{1}{2^2} - \frac{1}{7^2}  ]

                          \lambda = \frac{1}{2518622}

                             \lambda = 397nm

So the value of n is  7

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