A 0.5 kg pot of 80°C tea is poured into a 0.75 kg glass mug. The hot cup of tea starts at a temperature of 80°C and cools to a temperature of 65°C. How much heat does the water lose? (Assume specific heat capacity of tea is the same as water)

Find the volume of the ellipsoid x^2+y^2+5z^2=36.

If the force applied to an object remains constant, is more power needed for the object to move faster ? explain

Two steel balls, each of mass m, are welded to a light rod of length l and negligible mass and are initially at rest on a smooth horizontal surface. a horizontal force of magnitude f is suddenly applied to the rod as shown. determine (a) the instantaneous acceleration a of the mass center g and (b) the corresponding rate at which the angular velocity of the assembly about g is changing with time.