Sam, whose mass is 78 kg , takes off across level snow on his jet-powered skis. The skis have a thrust of 180 N and a coefficient of kinetic friction on snow of 0.1. Unfortunately, the skis run out of fuel after only 10 s . Part A What is Sam's top speed?

Respuesta :

Answer:13.2 m/s

Explanation:

Given

mass of sam[tex]\left ( m\right )=78 kg[/tex]

Thrust force=180 N

coefficient of kinetic friction[tex](\mu _k)=0.1[/tex]

Force acting on sam is thrust force, friction force

[tex]f_r=\mu _kmg=0.1\times 78\times 9.8=76.44 m/s[/tex]

[tex]F_{thrust}-f_r=ma[/tex]

[tex]180-76.44=78\times a[/tex]

[tex]a=1.32 m/s^2[/tex]

Therefore its top speed is

v=u+at

here u=0 initial velocity

[tex]v=0+1.32\times 10=13.2 m/s[/tex]