A student with a mass of 65 kg runs up a staircase as shown.

Michael Jackson is pulling an object 6 0 m on a ground by using a string that is inclined with the horizontal The string sustains a tensile force of 42 N and the work done by the force applied by Mr Jackson is 240 J If Mr Jackson wants to know the angle of inclination of the string what would it be 20 degrees 28 degrees 30 degrees 18 degrees

The loss of kinetic energy The loss of kinetic energ due to the first impact mv 1 m ev mv 1 e m 2gh 1 e mgh 1 e

ration 14 In a ballistics demonstration a police officer fires a bullet of mass 50 0 g with a speed of 200 m s on soft plywood of thickness 2 00 cm The bullet emerges with only 10 of its initial kinetic energy What is the emergent speed of the bullet

A small block of mass m held compressed against a spring as shown in the figure The spring has force constant of k such that mg k 3m After releasing the block it collides a spheres of same mass which is suspended from a massless rod of length 3m The rod can freely rotated in a vertical circle about its top point Considering the coefficient of restitution 0 5 find the minimum compression in the spring so that sphere can complete full circle l m m k mmmmm

A compass needle free to turn in a horizontal plane is placed at the centre of a circular coil of 30 turns and radius 12 cm The coil is in a vertical plane making an angle of 45 with the magnetic meridian The needle points west to east when the current in the coil is 0 35 A The horizontal component of the earth s magnetic field in T at that location is A 3 9 x 10 5 Correct Answer 3 9 10 6 5 x 10 5 10

60 A ball of radius r rolls inside a hemispherical shell of radius R It is released from rest from point A as shown in figure The angular velocity of centre of the ball in position B about the centre of the shell is A

In the figure shown rod AB is light and rigid while rod CD is also rigid and hinged at midpoint O Rod can rotate without friction about O The time period of small oscillation of rod CD is T 2 Where m is mass of rod CD and k is spring constant of each spring The value of n is m nk A k eeeeeeeeee C heeeeeeeeee k reeeeeeeeeer k B O

B 1 An advertisement claims that a certain 1200kg car can accelerate from rest to a speed of 25 m s in a time of 8s What average power must the motor produce to cause this accoloration 2 1 Int

A55 kg man holds a weight of 20 kg on his head W is the work done by him against gravity if he moves distance of 20 m i on a horizontal road ii on Encline of 1 in 5 Take g 10 m s2

Two identical block each of mass M 9 kg are placed on a rough horizontal surface of frictional coefficient 0 1 The two blocks are joined by a light spring and block B is in contact with a vertical fixed wall as shown in figure A bullet of mass m 1 kg and vo 10 m s hits block A and gets embedded in it a Find the maximum compression of spring 0 m olink Mmmm b Find the minimum value of vo for which block B will just start moving left wards Spring constant 240 N m g 10 m s