Newton's Universal Law of Gravitation
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Questions and Answers

According to the principle of superposition and the law of vector addition, the resultant gravitational force on (2m) is?

  • 2Gm^2 in the positive i direction
  • 2Gm^2 in the negative j direction
  • 2Gm^2 in the negative i direction
  • 2Gm^2 in the positive j direction (correct)

Why do we need to add up gravitational forces vectorially for all point masses in an extended object?

  • To decrease the overall gravitational force
  • Because it simplifies the calculation
  • Because the forces are not all in the same direction (correct)
  • To increase the overall gravitational force

In what scenario does a hollow spherical shell with uniform density exhibit a gravitational force as if its entire mass is concentrated at the center?

  • When the point mass is inside the shell
  • When the shell has non-uniform density
  • When the point mass is outside the shell (correct)
  • When the shell is not spherical

What component of gravitational forces from a hollow spherical shell have components along the line joining a point mass to the centre?

<p>Both parallel and perpendicular components (D)</p> Signup and view all the answers

In the calculation of gravitational forces between an extended object and a point mass, what method is used?

<p>Calculus (C)</p> Signup and view all the answers

What is the result of adding up all the gravitational forces from point masses in an extended object?

<p>Total gravitational force (B)</p> Signup and view all the answers

What can we understand qualitatively about the force of attraction due to a hollow spherical shell of uniform density on a point mass situated inside it?

<p>The force of attraction is zero due to forces from different regions of the shell cancelling each other. (B)</p> Signup and view all the answers

Who first experimentally determined the value of the gravitational constant G?

<p>Henry Cavendish (C)</p> Signup and view all the answers

What kind of force exists between two spherical balls according to the text?

<p>The gravitational force between the spherical balls is the same as if their masses are concentrated at their centres. (D)</p> Signup and view all the answers

What did Henry Cavendish use to experimentally determine the value of G?

<p>An apparatus with small spheres and a torsion balance (C)</p> Signup and view all the answers

What happens to a suspended wire in Cavendish's experiment as a result of the torque applied by two neighbouring small spheres?

<p>It gets twisted until restoring torque equals gravitational torque (A)</p> Signup and view all the answers

How did Cavendish measure the restoring torque in his experimental setup?

<p>By applying a known torque and measuring the angle of twist (C)</p> Signup and view all the answers

According to Newton's Universal Law of Gravitation, the force between two bodies is directly proportional to ___________ and inversely proportional to the square of the distance between them.

<p>The product of their masses (B)</p> Signup and view all the answers

In Newton's gravitational law, what does the variable 'r' represent?

<p>The distance between the bodies (B)</p> Signup and view all the answers

When applying Newton's third law to gravitational forces, what is the relationship between the force on body 1 due to body 2 and the force on body 2 due to body 1?

<p>Equal in magnitude but opposite in direction (D)</p> Signup and view all the answers

How does the gravitational force vary with distance according to the assumption made at the beginning of the text?

<p>Inversely proportional to the square of distance (A)</p> Signup and view all the answers

When dealing with extended objects, why is it important to consider that Newton's law refers to point masses?

<p>Because extended objects have finite size (B)</p> Signup and view all the answers

What led Newton to propose his Universal Law of Gravitation?

<p>Observations about acceleration due to gravity (B)</p> Signup and view all the answers

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