Center of Mass Calculation Quiz

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3 Questions

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

1.5 cm right and 1.2 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?

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

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?

$\frac{5}{4}h$

Test your knowledge of center of mass calculations with this quiz. Solve problems involving the distribution of mass in a system and determine the location of the center of mass.

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