Answer:
2,7m
Explanation:
Total mechanical energy is the sum of kinetic energy plus potential energy.
kinetic energy can be expressed like [tex]K=\frac{m.v^{2} }{2}[/tex] and potential energy like [tex]U=m.g.h[/tex] Where m is the mass, v is the velocity, g is the gravity on the earth surface (9,8m/s^2) and h is the height we want to know, so:
Total mechanical energy = [tex]K=\frac{m.v^{2} }{2}[/tex] + [tex]U=m.g.h[/tex]
But Total mechanical energy = 41,71J = 41,71 kg.m^2/s^2
rearranging: [tex]h=\frac{E-(\frac{mv^{2} }{2} )}{m.g}[/tex]
replacing: [tex]h=\frac{41.70J-(\frac{0,27kgx(16m/s)^{2} }{2}) }{0.27kgx9.8m/s^{2} } = 2,7m[/tex]
