KCET (DEMO) PHYSICS SYSTEM OF PARTICLES AND ROTATIONAL MOTION PAPER

Two trains each 50 m long are travelling in opposite direction with velocity $$10 \mathrm{~m} / \mathrm{s}$$ and $$15 \mathrm{~m} / \mathrm{s}$$. The time of crossing is

A student is standing at a distance of 50 metres from the bus. As soon as the bus begins its motion with an acceleration of $$1 \mathrm{~ms}^{-2}$$, the student starts running towards the bus with a uniform velocity $$u$$. Assuming the motion to be along a straight road, the minimum value of $$u$$, so that the student is able to catch the bus is

A man drops a ball downside from the roof of a tower of height 400 m . At the same time another ball is thrown upside with a velocity $$50 \mathrm{~m} / \mathrm{s}$$. From the surface of the tower, then they will meet at which height from the surface of the tower

A bus begins to move with an acceleration of $$1 \mathrm{~ms}^{-2}$$. A man who is 48 m behind the bus starts running at $$10 \mathrm{~ms}^{-1}$$ to catch the bus. The man will be able to catch the bus after

A 120 m long train is moving in a direction with speed $$20 \mathrm{~m} / \mathrm{s}$$. A train $$B$$ moving with $$30 \mathrm{~m} / \mathrm{s}$$ in the opposite direction and 130 m long crosses the first train in a time

A ball is dropped from top of a tower of 100 m height. Simultaneously another ball was thrown upward from bottom of the tower with a speed of $$50 \mathrm{~m} / \mathrm{s}\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)$$. They will cross each other after

A man is 45 m behind the bus when the bus start accelerating from rest with acceleration $$2.5 \mathrm{~m} / \mathrm{s}^{2}$$. With what minimum velocity should the man start running to catch the bus

Two cars $$A$$ and $$B$$ are moving with same speed of $$45 \mathrm{~km} / \mathrm{hr}$$ along same direction. If a third car $$C$$ coming from the opposite direction with a speed of $$36 \mathrm{~km} / \mathrm{hr}$$ meets two cars in an interval of 5 minutes, the distance of separation of two cars $$A$$ and $$B$$ should be (in km )

A ball $$A$$ is thrown up vertically with speed $$u$$ and at the same instant another ball $$B$$ is released from a height $$h$$. At time $$t$$, the speed of $$A$$ relative to $$B$$ is

Two cars are moving in the same direction with a speed of $$30 \mathrm{kmh}^{-1}$$. They are separated from each other by 5 km . Third car moving in the opposite direction meets the two cars after an interval of 4 min . What is the speed of the third car?

The distance between two particles moving towards each other is decreasing at the rate of $$6 \mathrm{~m} / \mathrm{sec}$$. If these particles travel with same speeds and in the same direction, then the separation increase at the rate of $$4 \mathrm{~m} / \mathrm{sec}$$. The particles have speeds as

A bus start from rest with an acceleration of $$1 \mathrm{~ms}^{-2}$$. A man who is 48 m behind the bus starts with a uniform velocity of $$10 \mathrm{~ms}^{-1}$$. The minimum time after which the man will catch the bus

About which axis in the following figure the moment of inertia of the rectangular lamina is maximum?

The moment of inertia of a thin rod of mass $$M$$ and length $$L$$, about an axis perpendicular to the rod at a distance $$\frac{L}{4}$$ from one end is

According to the theorem of parallel axes $$I=I_{c m}+M x^{2}$$, the graph between $$I$$ and $$x$$ will be