In the image below, a box of mass M (2.3kg) was gently placed on a frictionless slope of θ = 28°. The spring had an initial rest length of 60.0 cm but was compressed 15 cm by the box.
(a) [3] Draw a complete, well-labeled free body diagram (FBD) for the box.
(b) [1] Draw x and y axes that are parallel and perpendicular to the slope. Label them.
(c) [2] If any forces in your FBD are not parallel to one of the axes, replace it by its x and y
components.
(d) [2] What is the magnitude of the force in the FBD that acts into the slope?
(e) [2] What is the magnitude of the force in the FBD that acts down and along the slope?
(f) [1] If the block is at rest, what is the net force on it in the direction that is parallel to the slope? What is the spring constant of the spring?
In the image below, a box of mass M (2.3kg) was gently placed on a frictionless slope of θ = 28°. The spring had an init
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