Beginning at time t = 0, a student exerts a horizontal force on a box of mass 30 kg, causing it to move at 1.2 m/s toward an elevator door located 16 m away, as shown above. The coefficient of kinetic friction μk between the box and the floor is 0.20. Calculate the magnitude of the horizontal force the student must exert on the box in order to keep it moving at 1.2 m/s.

Question

Beginning at time t = 0, a student exerts a horizontal force on a box of mass 30 kg, causing it to move at 1.2 m/s toward an elevator door located 16 m away, as shown above. The  coefficient of kinetic friction μk between the box and the floor is 0.20. Calculate the magnitude of the horizontal force the student must exert on the box in order to keep it moving at 1.2 m/s.

gollywolly · Answer

Use the equation for force of friction to figure out the force needed to move it then figure out the force required to push it at 1.2 m/s. $$F_f=\mu*N$$$$F=m*a$$