First year physics question? (1 Viewer)

[timeslowsdown]

Can someone please help me with this question? Thanks

A box is placed on the back of a truck and the truck accelerates away. The coefficient of friction between the surface and the box is μ.

i) Draw a free body diagram to identify all forces acting
ii) What is the direction of the acceleration of the box?
iii) What is the direction of the net force acting on the box?
iv) Under what conditions would the box not move with the truck?
v) What is the maximum acceleration of the truck before the box starts to slide?

The truck is moving at 10m/s when it hits a tree and suddenly comes to a stop. The box slides 2 m before stopping.

vi) What is the coefficient of kinetic friction between the box and the tray of the truck?

Additional information:

Frictional Forces - Static
¤ When a massive object does not move upon an applied
force
¤ N is the magnitude of the normal force
fs ≤μN
¤ μ is the coefficient of static friction, which dependent on the surface contact areas

Frictional Forces - Movement
¤ When a massive object does move upon an applied force
fk =μN
¤ N is the magnitude of the normal force
¤ μ is the coefficient of kinetic friction, which dependent on the surface contact areas

Thanks so much