Question of the day

Block falls on spring

Q- A small light disc is attached with one end of a spring of constant K, the other end is fixed to ground and stands vertical. a small block of mass m is dropped from a height h above the disc. Considering elastic impact and only vertical motion find the maximum velocity and maximum acceleration of...

December 08,2025 11:57 AM

Newton's Laws of Motion

Q- A 5 kg uniform ball lies between two mutually perpendicular smooth plans AB and BC. Determine the thrust of the ball against each plane if plane BC is inclined at 60 degree to the horizontal. (g = 10 m/s²)

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November 29,2025 11:57 AM

Ray Optics: Refraction of light

The virtual depth of the fish in water.

November 23,2025 07:29 AM

Electrostatics: Capacitance

A spherical capacitor has two different layers of dielectrics between its plates. Their permittivity are ϵ1 for a < r < r0 and ϵ2 for r0 < r < b. Find the capacitance of this system by finding the total energy of the fields between the plates.

Solution:

October 29,2025 07:32 AM

Kinematics: Variable acceleration

Q- At t = 0, car A starts from rest at point 1. It moves with an acceleration of 0.4 t m/s^2. At the same time, car B starts from point 2, which is 225 m ahead, with a constant acceleration of 2 m/s^2 in the same direction. Find:

(a) Speed of car A at the end of the 225 m section.

(b)...

October 08,2025 11:19 PM