List of top Physics Questions on Kinematics asked in NEST

Two point bodies of masses $m$ and $3m$ are connected by a massless spring of spring constant $k = m\omega_0^2$ and kept on a frictionless horizontal surface. The spring is extended by a small distance $l$ over its natural length at time $t = 0$ and then released so that the masses execute simple harmonic motion. The maximum speed of the particle with mass $m$ is given by
A sphere is given an initial push so that it starts rolling (without slipping) up an inclined plane. During its climb
Two wave pulses, one rectangular and other triangular, approach each other as shown in the figure below.

They overlap at the point P at time $t$. The diagram best representing the appearance of the wave pulses at a time $t' \gt t$ is
A spherical glass bottle having negligible wall thickness is placed in air. When the bottle is completely filled with water, its focal length is $f$. If the water is replaced by another transparent liquid of higher refractive index, then the focal length changes to $f'$. Then
Physicist Luis Alvarez and his collaborators hypothesised that the extinction of dinosaurs was due to the impact of an asteroid with the Earth. They estimated the mass and the radius of the asteroid to be about $2 \times 10^{15}\text{ kg}$ and $10\text{ km}$ respectively. Take the mass of the Earth to be $6 \times 10^{24}\text{ kg}$. The gravitational acceleration (in SI units) of the Earth due to the asteroid just before the impact would be of the order
The angular speed of the Earth’s rotation is $7.3 \times 10^{-5}\text{ rad}\cdot\text{s}^{-1}$. Take the radius of the Earth at the equator to be $6400\text{ km}$. Then the ratio ($a_c / g$) of the magnitude of the centripetal acceleration $a_c$ at a point on the equator to $g$, is of the order
In the 2024 Olympics, two runners, Noah Lyles and Kishane Thompson, finished the 100.00 m race in 9.784 s and 9.789 s respectively. Assuming that they move with constant speed throughout the race, the distance between the two runners when Noah Lyles touched the finishing line would be closest to: