##4m/s^2[“forward”]##
Recall that Newton’s ##2^”nd”## Law is given by the formula:
##color(blue)(|bar(ul(color(white)(a/a)F_”net”=macolor(white)(a/a)|)))##
where:
##F_”net”=##sum of all forces acting on the object
##m=##mass
##a=##
For this problem, we will set the positive directions to be east and down.
Start by breaking the variable, ##m##, into ##m_”person”+m_”sled”## since the acceleration of the person also depends on the mass of the sled.
##F_”net”=ma##
##F_”net”=(m_”person”+m_”sled”)a##
Assuming there is no friction involved, the only acting force in the ##x## direction is the applied force. The forces acting in the ##y## direction are the normal and gravity forces. However, when you add them together, the force is equal to ##0N##, so we will ignore them.
##a=F_”app”/(m_”person”+m_”sled”)##
Substitute your known values.
##a=(300N)/(60kg+15kg)##
##a=color(green)(|bar(ul(color(white)(a/a)4m/s^2color(white)(a/a)|)))##
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