Awoman walks into a carpet store wearing high-heeled shoes with a circular heel of diameter 0.987 cm. to the dismay of the store manager, she balances on one heel on an expensive carpet sample. if she has a mass of 53.0 kg, determine the pressure she exerts on the carpet sample.

To solve this problem it is necessary to apply the concepts related to the Pressure which describes the amount of Force made on an area unit.

Its mathematical expression can be defined as

Where,

F= Force

A = Area

Our values are given as

With the diameter we can find the Area of the circular heel, that is

To find the force by weight we need to apply the Newton's second Law

Finally the pressure would be

Therefore the pressure that she exerts on the carpet sample is 6.788Mpa

it is easily magnetized.

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.