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Norma-Jean [14]
2 years ago
6

Four students measured the acceleration of gravity. The accepted value for

Physics
1 answer:
Ratling [72]2 years ago
7 0
Answer: The student with the largest measurement of percentage error is student 4. Option A is correct.The percent error shows the disparity between the observed value and the actual value. It is given by the expression.

Therefore, we can conclude that the student's measurement that has the largest percent error is student 4.







Explanation:

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Three small spheres, having masses m1 = 1 kg, m2 = 3 kg, and m3 = 4 kg, are held fixed on the x axis in deep space where the eff
Vlad [161]

Answer: F_{net} = 0.7411 N towards the mass m_{3}

Explanation: We know that the gravitational force is a long range force which is always attractive in nature.

Given that:

  • mass m_{1} = 1 kg
  • mass m_{2} = 3kg
  • mass m_{3} = 4kg

The masses are positioned on X-axis at the following points:

  • Position of mass m_{1}  x_{1} = 0
  • Position of mass m_{2}  x_{2} = 3
  • Position of mass m_{3}  x_{3} = 6

Mathematically:

<em>Gravitational force on mass </em>m_{2}<em> due to mass </em>m_{1}<em> is given by </em>

F_{21} = G \frac{m_{1}.m_{2}}{(r_{21})^2}...................(1)

  • where: (r_{21})^2= the radial distance between masses m_{2} & m_{1}=3

Similarly, g<em>ravitational force on mass </em>m_{2}<em> due to mass </em>m_{3}<em> is given by </em>

F_{23} = G \frac{m_{3}.m_{2}}{(r_{23})^2}............................(2)

  • where: (r_{23})^2= the radial distance between masses m_{2} & m_{3}=3

Now, put the respective values in the above equations.

F_{21} = 6.67 \times 10^{-11 }\times \frac{1\times 3}{3^2}

F_{21} = 2.2233\times 10^{-11} N

Again,

F_{23} = 6.67 \times 10^{-11 }\times \frac{1\times 4}{3^2}

F_{23} = 2.9644\times 10^{-11} N

∵Mass m_{2} is in the middle of the masses m_{3} & m_{1} therefore the forces  F_{23} & F_{21} will attract them in radially opposite direction.

∴F_{net} = F_{23} -F_{21} \\\\F_{net} = 2.9644-2.2233\\\\F_{net} = 0.7411 N towards the mass m_{3}

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