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Cerrena [4.2K]
3 years ago
14

find the mass of a ball on a roof 30 meters high, if the ball's gravitational potential energy is 58.8 joules

Physics
2 answers:
Taya2010 [7]3 years ago
4 0

Answer:

0.2 kg

Explanation:

Height of roof from the ground=h=30 m

Gravitational potential energy=P.E=58.8 J

We have to find the mass of the ball.

We know that

Gravitational potential energy of ball= mgh

Where g=9.8 m/s^2

Substitute the values

58.8=m\times 9.8\times 30

58.8=294 m

m=\frac{58.8}{294}

Using division property of equality

m=0.2 kg

Hence, the mass of ball=0.2 kg

Sidana [21]3 years ago
3 0
We are given the gravitational potential energy and the height of the ball and is asked in the problem to determine the mass of the ball. the formula to be followed is PE = mgh where g is the gravitational acceleration equal to 9.81 m/s^2. substituting, 58.8 J = m*9.8 m/s^2 * 30 m; m = 0.2 kg.
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The material that the cylinder is made from is Butyl Rubber.

<h3>What is Young's modulus?</h3>

Young's modulus, or the modulus of elasticity in tension or compression, is a mechanical property that measures the tensile or compressive strength of a solid material when a force is applied to it.

<h3>Area of the cylinder</h3>

A = πr²

A = \pi \times (0.02)^2 = 0.00126 \ m^2

<h3>Young's modulus of the cylinder</h3>

E = \frac{stress}{strain} \\\\E = \frac{F/A}{e/l} \\\\E = \frac{Fl}{Ae} \\\\

Where;

  • e is extension

When 5 kg mass is applied, the extension = 10 cm - 9.61 cm = 0.39 cm = 0.0039 m.

E = \frac{(5\times 9.8) \times 0.1}{0.00126 \times 0.0039} \\\\E = 9.97 \times 10^5 \ N/m^2\\\\E = 0.000997 \times 10^9 \ N/m^2\\\\E = 0.000997 \ GPa\\\\E \approx 0.001 \ GPa

When the mass is 50 kg,

extension = 10 cm - 7.73 cm = 2.27 cm = 0.0227 m

E = \frac{(50\times 9.8) \times 0.1}{0.00126 \times 0.0227} \\\\E = 1.7 \times 10^6 \ N/m^2\\\\E = 0.0017 \times 10^9 \ N/m^2\\\\E = 0.0017 \ GPa\\\\E \approx 0.002 \ GPa

The Young's modulus is between 0.001 GPa  to 0.002 GPa

Thus, the material that the cylinder is made from is Butyl Rubber.

Learn more about Young's modulus here: brainly.com/question/6864866

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