Water ice has a density of 0.91 g/cm2, so it will float in liquid water. imagine you have a cube of ice, 10 cm on a side. a. what is the cube's weight? b. what volume of liquid water must be displaced in order to support the floating cube? c. how much of the cube is under the surface of the water

(i) W = 8.918 N

(ii)

(iii) d = 9.1 cm

Explanation:

Part a)

As we know that weight of cube is given as

here we know that

now the mass of the ice cube is given as

now weight is given as

Part b)

Weight of the liquid displaced must be equal to weight of the ice cube

Because as we know that force of buoyancy = weight of the of the liquid displaced

So here volume displaced is given as

Part c)

Let the cube is submerged by distance "d" inside water

So here displaced water weight is given as

so it is submerged by d = 9.1 cm inside water

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.