Astraightforward method of finding the density of an object is to measure its mass and then measure its volume by submerging it in a graduated cylinder. what is the density (in g/cm3) of a 300 g rock that displaces 89.0 cm3 of water? (note that the accuracy and practical applications of this technique are more limited than a variety of others that are based on archimedes' principle.)

The density of rock = 3.37 g/cm³

Explanation:

Density: Density can be defined as the ratio of the mass of a body to the volume. The S.I unit of density is kg/m³. It can be expressed mathematically as ,

D = M/V Equation 1

Where D = density of the body, M = mass of the body, V = volume of the body.

From Archimedes' principle, a body will displace a volume of water equal to  its volume.

Therefore, Volume of the object = volume of water displaced

Given: M = 300 g, V = volume of water displace = 89.0 cm³.

Substituting these values into equation 1

D = 300/89

D = 3.37 g/cm³

The density of rock = 3.37 g/cm³

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.

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