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A block of mass $m = 0.5$ kg is pressed against a light spring of stiffness $k = 200$ N/m compressed by $x = 10$ cm; the block is not attached to the spring. The spring is released and the block moves along a horizontal floor with a coefficient of friction $\mu = 0.2$ (see the figure). Find the…
A block slides without friction down a hill of height $h = 2$ m and then, passing smoothly onto a horizontal stretch, slides along it until it stops. The coefficient of friction on the horizontal stretch is $\mu = 0.25$ (see the figure). Find the speed of the block at the foot of the hill and the…
A simple pendulum of length $l = 1$ m is displaced from the vertical by an angle $\alpha = 60°$ and released. Find the speed of the bob at the lowest point. Neglect air resistance; $g = 10$ m/s².
A body of mass $m = 1$ kg slides down a slope of height $h = 5$ m without friction. Find the speed of the body at the bottom of the slope. The acceleration due to gravity is $g = 10$ m/s²; neglect air resistance.