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JEE Main || Mechanics || Super Quiz 7

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Question 1

A ball whose kinetic energy is E, is projected at an angle of 45 ° to the horizontal. The kinetic energy of the ball at the highest point of its flight will be:

Question 2

A neutron moving with a speed ‘v’ makes a head on collision with a stationary hydrogen atom in ground state. The minimum kinetic energy (in eV) of the neutron for which inelastic collision will take place is:

Question 3

A particle of mass 100 g is thrown vertically upwards with a speed of 5 m/s. The work done by the force of gravity during the time the particle goes up is

Question 4

A uniform chain of length 2 m is kept on a table such that a length of 60 cm hangs freely from the edge of the table. The total mass of the chain is 4 kg. What is the work done in pulling the entire chain on the table?

Question 5

The average mass of rain drops is kg and their average terminal velocity is 9 m/s. Calculate the energy transferred by rain to each square metre of the surface at a place which receives 100 cm of rain in a year.

Question 6

A large number (n) of identical beads, each of mass m and radius r are strung on a thin smooth rigid horizontal rod of length and are at rest at random positions. The rod is mounted between two rigid supports (see figure). If one of the beads is now given a speed v, the average force experienced by each support after a long time is (assume all collisions are elastic):

Question 7

From a building two balls A and B are thrown such that A is thrown upwards and B downwards (both vertically and with same speed). If VA and VB are their respective velocities on reaching the ground, then:

Question 8

A car of weight W is on an inclined road that rises by 100 m over a distance of 1 km and applies a constant frictional force on the car. While moving uphill on the road at a speed of 10 ms-1, the car needs power P. If it needs power while moving downhill at speed v then value of v (in m/s) is:

Question 9

Two particles A and B of equal mass M are moving with the same speed v as shown in the figure. They collide completely inelastically and move as a single particle C. The angle θ that the path of C makes with the X-axis is given by:

Question 10

A car moving with a speed of 50 km/hr, can be stopped by brakes after at least 6 m. If the same car is moving at a speed of 100 km/hr, the minimum stopping distance is
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Nov 25JEE & BITSAT