Question

What is the answer to number 47?Also without the use of angles like sin and cos.

Answer 1

Given,

The mass of the sled and the person, m=62.5 kg

The coefficient of the kinetic friction, μ=0.190

The harness tension, T=180.o N

From Newton's second law, the net force on the sled is given by,

`F_n=ma`

the net force is also given by the sum of all the forces acting on it.

Thus,

`\begin{gathered} F_n=ma=T-f \\ \Rightarrow ma=T-N\mu_{} \\ =T-mg\mu \end{gathered}`

Where f is the frictional force and g is the acceleration due to gravity.

On substituting the known values,

`\begin{gathered} 62.5a=180.0-62.5*9.8*0.190 \\ a=(180-62.5*9.8*0.190)/(62.5) \\ =1.018\text{ m/s}^2 \end{gathered}`

Thus the acceleration of the sled is 1.018 m/s²