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Old-fashioned pendulum clocks are powered by masses that need to be wound back to the top of the clock about once a week to counteract energy lost due to friction and to the chimes. One particular clock has three masses: 4.0 kg, 4.0 kg, and 6.0 kg. They can drop 1.3 meters. How much energy does the clock use in a week?

Respuesta :

Answer:

Energy, E = 178.36 J

Explanation:

It is given that,

Mass 1, [tex]m_1=4\ kg[/tex]

Mass 2, [tex]m_2=4\ kg[/tex]

Mass 3, [tex]m_3=6\ kg[/tex]

Height from which they are dropped, h = 1.3 m

Let m is the energy used by the clock in a week. The energy is equal to the gravitational potential energy. It is given by :

[tex]E=(m_1+m_2+m_3)gh[/tex]

[tex]E=(4+4+6)\times 9.8\times 1.3[/tex]

E = 178.36 J

So, the energy used by the clock in a week is 178.36 Joules. Hence, this is the required solution.