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Vikentia [17]
3 years ago
11

7. Calculate the gravitational potential energy of a 10 kg box on the top shelf of a closet, 2 m above the floor.

Physics
1 answer:
snow_lady [41]3 years ago
5 0

Answer:

P.E = 196 J

Explanation:

Given,

The mass of the box, m = 10 Kg

The height of the box from the ground, h = 2 m

The acceleration due to gravity, a = 9.8 m/s²

The gravitational potential energy of the box is given by the formula

                              P.E = mgh joules

Substituting the given values in the above equation,

                              P.E = 10 x 2 x 9.8

                                   = 196 J

Hence, the gravitational potential energy of box, P.E = 196 J

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V_2 = Final volume of gas = \frac{4}{3}\pi r_2^3

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T_2 = Final temperature = 323 K

From ideal gas law we have

\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}\\\Rightarrow \frac{P_1\frac{4}{3}\pi r_1^3}{T_1}=\frac{P_2\frac{4}{3}\pi r_2^3}{T_2}\\\Rightarrow \frac{P_1 r_1^3}{T_1}=\frac{P_2r_2^3}{T_2}\\\Rightarrow r_2=\frac{P_1r_1^3T_2}{T_1P_2}\\\Rightarrow r_2=\left(\frac{0.03\times 21^3\times 323}{200\times 1}\right)^{\frac{1}{3}}\\\Rightarrow r_2=7.65\ m

The radius at liftoff is 7.65 m

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