The great sandini is a 60 kg circus performer who is shotfrom a cannon (actually a spring gun). you don't find many men ofhis caliber, so you him design a new gun. this new gun has avery large spring with a very small mass and a force constant of1100 n/m that he will compress with a force of4400 n. the inside of the gun barrel is coated with teflon, sothe average friction force will be only 40 n during the 4.0 m he moves in the barrel.
at what speed will he emerge from the end of the barrel, 2.5 mabove his initial rest position?

V=15.3 m/s

Explanation:

To solve this problem, we have to use the energy conservation theorem:

the elastic potencial energy is given by:

The work is defined as:

this work is negative because is opposite to the movement.

The gravitational potencial energy at 2.5 m aboves is given by:

the gravitational potential energy at the ground and the kinetic energy at the begining are 0.

can be answered using momentum.

momentum = p

p1= mass1 * velocity1

p1 = p2

therefore

p1 = 6kg * 4m/s

p1 = 24kgm/s

p2=m2 * v2

24 kgm/s = 7kg * v2

v2 = 24 kgm/s / 7kg

v2= 3.42 m/s