Two ropes are attached to a 40 kg object.  The rope with a 50 N force points along a direction 37 degrees from the positive x-axis, and the other rope with a 50 N force points along a direction 140 degrees.  What is the acceleration of the object in m/s/s? Choices are 40.73 8.91 7.57 12.43 8.58

A box of mass 15.7 kg slides down an inclined plane without friction. If the acceleration, a, of the box along the direction of the plane is 4.1 m/s2, what is the angle θ (in degrees) of the plane with respect to the horizontal?

An Atwood machine consists of two masses hanging from the ends of a rope that passes over a pulley. Assume that the rope and pulley are massless and that there is no friction in the pulley. If the masses have the values ?1=19.5 kg and ?2=12.5 kg, find the magnitude of their acceleration ? and the tension ? in the rope. Use ?=9.81 m/s2.

Only two forces act on an object (mass = 7.91 kg), as in the drawing. Find the (a) magnitude and (b) direction (relative to the x axis) of the acceleration of the object. +y 60.0 N 40.0 N +x