The mass of the kid and the sled is 50.0 kg
Explanation:
The sled starts to move when the force applied becomes larger than the maximum force of static friction, which is given by
[tex]F_{max} = \mu_s mg[/tex]
where
[tex]\mu_s[/tex] is the coefficient of static friction
m is the mass of the kid + the sled
[tex]g=9.8 m/s^2[/tex] is the acceleration of gravity
Here the sled starts moving when the force applied is 61.2 N, so
[tex]F_{max}=61.2 N[/tex]
And we also know
[tex]\mu_s = 0.125[/tex]
Therefore, we can find the mass of the kid and the sled by re-arranging the equation:
[tex]m=\frac{F_{max}}{\mu_s g}=\frac{61.2}{(0.125)(9.8)}=50.0 kg[/tex]
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