A horizontal vinyl record of mass 0.0522 kg and radius 0.093…

A horizontal vinyl record of mass 0.0522 kg and radius 0.0932 m rotates freely about a vertical axis through its center with an angular speed of 5.71 rad/s and a rotational inertia of 2.02 x 10-4 kg·m2. Putty of mass 0.0189 kg drops vertically onto the record from above and sticks to the edge of the record.What is the angular speed of the record immediately afterwards?

A person pushes a 48.5kg block of ice  at an angle 30.80 bel…

A person pushes a 48.5kg block of ice  at an angle 30.80 below the horizon across a lake as shown in the figure.   Calculate the minimum force F (in N) he must exert to get the block moving. (Hint: Horizontal component of force = Static friction force) (The coefficient of static friction is 0.1 and the coefficient of kinetic friction is 0.03)

Find the escape speed on a spherical asteroid whose radius i…

Find the escape speed on a spherical asteroid whose radius is 927 km and whose gravitational acceleration at the surface is 0.958 m/s2.  Then calculate how far  (in km) from the surface will a particle go if it leaves the asteroid’s surface with a radial speed of 877 m/s? (Enter the distance in km.)