H C Verma Solutions for Chapter: Newton's Laws of Motion, Exercise 2: OBJECTIVE I

Neglect the effect of rotation of the earth. Suppose the earth suddenly stops attracting objects placed near its surface. A person standing on the surface of the earth will

Three rigid rods are joined to form an equilateral triangle $ABC$ of side $1 \mathrm{m}$. Three particles carrying charges $20 \mathrm{\mu C}$ each are attached to the vertices of the triangle. The whole system is at rest in an inertial frame. The resultant force on the charged particle at $A$ has the magnitude

A force $F_1$ acts on a particle so, as to accelerate it from rest to a velocity $v$. The force $F_1$ is then replaced by $F_2$ which decelerates it to rest.

Two objects $A$ and $B$ are thrown upward simultaneously with the same speed. The mass of $A$ is greater than the mass of $B$. Suppose the air exerts a constant and equal force of resistance on the two bodies.

A smooth wedge $A$ is fitted in a chamber hanging from a fixed ceiling near the earth's surface. A block $B$ placed at the top of the wedge takes a time $T$ to slide down the length of the wedge. If the block is placed at the top of the wedge and the cable supporting the chamber is broken at the same instant, the block will

In an imaginary atmosphere, the air exerts a small force $F$ on any particle in the direction of the particle's motion. A particle of mass $m$ projected upward takes time $t_1$ in reaching the maximum height and $t_2$ in the return journey to the original point. Then

A person standing on the floor of an elevator drops a coin. The coin reaches the floor of the elevator in time $t_1$. If the elevator is stationary and in time $t_2$ it is moving uniformly. Then

A free ${}^{238}\mathrm{U}$ nucleus kept in a train emits an alpha particle. When the train is stationary, the nucleus decays and a passenger measures that the separation between the alpha particle and the recoiling nucleus becomes $x$ at time $t$, after the decay. If the decay takes place while the train is moving at a uniform velocity $v$, the distance between the alpha particle and the recoiling nucleus at time $t$, after the decay as measured by the passenger is