Question

A man slides on snow without friction starting at 8.96m/s at the top of an inclined plane with height 8.21m. What is his speed at the bottom of a plane?​

Answer 1

V2 = 15.53 [m/s]]

Step-by-step explanation:

In order to solve this problem we must use the principle of energy conservation, where potential energy is transformed into kinetic energy. At the bottom is taken as a reference level of potential energy, where the value of this energy is equal to zero.

Above the inclined plane we have two energies, kinetics and potential. While when the sled is at the reference level all this energy will have been transformed into kinetic energy.

`E_(1)=E_(2)\\ m*g*h+((1)/(2) )*m*v_(1) ^(2)=(1)/(2)*m*v_(2) ^(2) \\(9.81*8.21)+(0.5*8.96^(2) )=(0.5*v_(2)^(2) )\\(0.5*v_(2)^(2) )=120.68\\v_(2) ^(2)=241.36\\v_(2) =√(241.36)\\ v_(2) =15.53[m/s]`