PHY-101 Applied Physics Assignment
Date: 30-03-2021 Submission Date: 06-04-2021
1) A block–spring system oscillates with an amplitude of 3.50 cm. If the spring constant is 250 N/m and the mass of the block is 0.500 kg, determine (a) the maximum speed of the block, and (b) the maximum acceleration? 2) A block of mass 0.2 kg which slides without friction on θ= 30O incline is connected to the top of the incline by a mass-less spring of relaxed length of 23.75 cm and spring constant 80 N/m as shown in the following figure. (a) How far from the top of the incline does the block stop? (Ans: 25 cm =23.75 cm+1.25 cm) (b) If the block is pulled slightly down the incline and released, what is the period of the ensuing oscillations? [ g can be taken as 10 m/s2 ] (Ans: π/10 sec) 3) Consider the physical pendulum of Figure. (a) If its moment of inertia about an axis passing through its center of mass and parallel to the axis passing through its pivot point is ICM, show that its period is . Where d is the distance between the pivot point and center of mass 4) A 10.0-kg block is released from point A in Figure. The track is frictionless except for the portion between B and C, which has a length of 6.00 m. The block travels down the track, hits a spring of force constant k = 2250 N/m, and compresses the spring 0.300 m from its equilibrium position before coming to rest momentarily. Determine the coefficient of kinetic friction between the block and the rough surface between B and C. 5) The electron and proton of a hydrogen atom are separated (on the average) by a distance of approximately 5.3x10-11 m. Find the magnitudes of the electric force and the gravitational force between the two particles. 6) Two identical small charged spheres, each having a mass of 3.0x10-2 kg, hang in equilibrium. The length of each string is 0.15 m, and the angle is 5.0°. Find the magnitude of the charge on each sphere
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