Center of Mass Calculation Quiz

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Questions and Answers

What are the coordinates of the center of mass of the system described in the text?

  • 0.9 cm right and 2.0 cm above 1 kg mass
  • 1.5 cm right and 1.2 cm above 1 kg mass (correct)
  • 0.6 cm right and 2.0 cm above 1 kg mass
  • 2.0 cm right and 0.9 cm above 1 kg mass

What is the equation to determine the radius R of the uniform sphere, given a spherical cavity is cut out and the center of mass of the remaining part is on the surface of the cavity?

  • $(R^2 - R - 1)(2 - R) = 1$
  • $(R^2 + R + 1)(2 - R) = 1$ (correct)
  • $(R^2 + R - 1)(2 - R) = 1$
  • $(R^2 - R + 1)(2 - R) = 1$

When two particles, one dropped from a height h and another thrown vertically upwards from the ground with a speed of $2gh$, collide completely inelastically, what is the time taken for their combined mass to reach the ground, in units of h?

  • $\frac{5}{4}h$ (correct)
  • $\frac{3}{4}h$
  • $g$
  • $\frac{3}{2}h$

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