Aglass bottle of soda is sealed with a screw cap. the
absolute pressure of the carbon dioxide inside the bottle
is1.80*105 pa. assuming that the top and bottomsurfaces
of the cap each have an area of 4.10*10-4m2,
obtain the magnitude of the force that the screwthread exerts on
the cap in order to keep it on the bottle. the air pressure outside
the bottle is one atmosphere.

32.25675 N

Explanation:

1 atm = 101325 Pa

As the CO2 pressure inside the bottle and the atmospheric pressure has opposite direction, the net pressure on the cap is:

Then the pressurized force acting on the cap by CO2 is

This is also the magnitude of the force the the screw thread has to exert on the cap in order to keep it on the bottle

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.

false.

explanation:

this statement is false. after falling for 5 seconds, its speed will not be 100 m/s.