An Aluminum cube with size L is immersed in a box containing water and Mercury. Assuming that the cube is in equilibrium in the horizontal position, compute the height of the centre of mass of the cube with respect to the surface separating water and Mercury. density of water ρw = 1gcm−3
density of Mercury ρHg = 13.6gcm−3
density of Aluminum ρAl = 2.7gcm−3
L = 10cm.

An object thrown vertically upward from the surface of a celestial body at a velocity of 36 m/s reaches a height of sequalsminus0.9tsquaredplus36t meters in t seconds. a. determine the velocity v of the object after t seconds. b. when does the object reach its highest point? c. what is the height of the object at the highest point? d. when does the object strike the ground? e. with what velocity does the object strike the ground? f. on what intervals is the speed increasing?

According to newton’s first law of motion, which force is expected to cause a body to accelerate?

Aspring has a natural length of 8 m. if a 12-n force is required to keep it stretched to a length of 10 m, how much work w is required to stretch it from 8 m to 16 m? (round your answer to two decimal places.)