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A 5 - kg blob of putty is dropped from a height of 10.0 m above the ground onto a light vertical spring the top of which is 5 m above the ground. If the spring constant k = 200 N/m and the blob compresses the spring by 1.50 m, then find the amount of energy lost in sound and thermal energy. a. 20 J b. 0.17 kj c. 0.27 kj d. 0.43 kj e. 94 J

Respuesta :

Answer:

Heat loss in this process is given as 93.8 J

Explanation:

As we know that the initial total energy of the blob is in the form of gravitational potential energy

So initial total energy is given as

[tex]U_i = mgh[/tex]

[tex]U_i = 5(9.81)(10)[/tex]

[tex]U_i = 490.5 J[/tex]

Final total energy of the blob + spring is given as

[tex]U_f = mgh' + \frac{1}{2}kx^2[/tex]

now we have

[tex]U_f = 5(9.81)(5 - 1.50) + \frac{1}{2}(200)(1.5^2)[/tex]

[tex]U_f = 397 J[/tex]

[tex]Heat = U_i - U_f[/tex]

[tex]heat = 490.5 - 397[/tex]

[tex]heat = 93.8 J[/tex]

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