A worker drags a crate across a factory floor by pulling on a rope tied to the crate. The worker exerts a force of 450.0 N on the rope which is inclined at 38.0° to the horizontal, and the floor exerts a horizontal force of 124.0 N that opposes the motion. Calculate the acceleration of the crate if its mass is 400.0 kg. Assume positive is to the right and up. What would its acceleration be if its weight were 400.0 N?

In a TV commercial pickup truck B of mass mB lifts large crate A of mass mA toawrd the top of a cliff by means of a cable and a frictionless pulley. The truck uses constant thrust force F to do the job and accerates forward starting from rest, There are no friction forces except the thrust force F.  a) Determine a symbolic formula for the magnitude of the acceration experienced by the crate. The final formula should not include the unknown tension force.  b) explain whether the cable tension must be greater than, equal to, or less than the crate weight.  c) for mass mA= 1500 kg, mb=2800 kg, and F=18,000N, how far will the crate rise in the first 3.5 s of motion?

An object of mass m is being acted by the following 3 forces: F1 = 500 N @ 45⸰ North of East, F2 = 750 N @ 30⸰ West of North and F3 = 400 N @ 30⸰ South of West.  Find mathematically the magnitude and direction of a fourth force F4 that will maintain the object at equilibrium.  Ignore the weight of the object. Provide free body diagram for the system and the sum of the forces along the axis.

A student pushes a 20kg desk across the floor to the right with a force of 400 N. The coefficient of kinetic friction between the floor and the desk is equal to 0.21.  Calculate the acceleration of the desk.