A light spring of constant is anchored to the floor at point O
PHYSICS · Multi-part · CBSE · Physics · Laws of Motion · Laws of Motion
Problem
A light spring of constant k=95N⋅m−1 is anchored to the floor at point O. Its relaxed length lies along a straight line that makes a 30∘ angle above the horizontal. A 0.50kg block is attached to the free end. The block is then pulled 5.0 cm directly along the line of the spring away from O and released from rest.
Assume a coordinate system in which the +x-axis is horizontal and the +y-axis is upward.
(1) Compute the horizontal and vertical components of the force exerted by the spring on the block at the moment of release. Include correct signs and units.
(2) Determine the magnitude of the spring force at that instant.
(3) Compare the vertical component of the spring force with the weight of the block. State whether the net vertical force on the block is upward, downward, or zero, and justify your conclusion with quantitative reasoning.