A man is pulling on a rope attached to a block on a smooth horizontal table. The tension in the rope will be the same at all points
If and only if the rope is not accelerated
If and only if the rope is massless
If either the rope is not accelerated or is massless
Always
One end of a string of length $l$ is connected to a particle of mass $m$ and the other to a small peg on a smooth horizontal table. If the particle moves in a circle with speed $v$ the net force on the particle (directed towards the centre) is :
$(i) \;T,$ $(ii)\; T-\frac{m v^{2}}{l},$ $(iii)\;T+\frac{m v^{2}}{l},$ $(iv) \;0$
$T$ is the tension in the string. [Choose the correct alternative].
Give the magnitude and direction of the net force acting on
$(a)$ a drop of rain falling down with a constant speed,
$(b)$ a cork of mass $10\; g$ floating on water,
$(c)$ a kite skillfully held stationary in the sky,
$(d)$ a car moving with a constant velocity of $30\; km/h$ on a rough road,
$(e)$ a high-speed electron in space far from all material objects, and free of electric and magnetic fields.
A small child tries to move a large rubber toy placed on the ground. The toy does not move but gets deformed under her pushing force $F$, which is obliquely upward as shown in the figure.Then,
A balloon of mass $M$ is descending at a constant acceleration $\alpha $. When a mass $m$ is released from the balloon it starts rising with the same acceleration $\alpha $. Assuming that its volume does not change, what is the value of $m$ ?