Fill in the blanks by suitable inversion of units.

(a) 10kg m² S^-2 = ¾ g cm² S^-2

(b) 1m = ¾ light year

(c) 3m S^-2 = ¾ km/ h^-2

(d) G = 6.67 x 10^-11 Nm²(kg)²
          = ¾ (cm)³ S^-2 g^-1

Complete the following

Chose the correct alternative. The SI unit of length is the meter. Suppose we adopt a new unit of length which equals y meters. The area of 1m2 expressed in terms of the new unit has a magnitude.

(a) y (b) 1/y (c) 1/y² (d) y²

Complete the following.
(a) 1 Fermi = ¾
(b) 1 Angstrom (A) = ¾
(c) 1 light year = ¾
(d) 1 parsec = ¾

A man wishes to estimate the distance of a nearby tower from him. He stands at a point A in front of the tower C abd spots a very distant object O in line with AC. He then walks perpendicular at AC up to B, a distance of 100m and looks at O and C again. Since O is very distant, the direction BO is practically the same as A; but he find the line of sight of C shifted from the original line of sight by an angle ) = 40°. Estimate the distance of the tower C from his original position ?

According to Newton's law of gravitation F = Gm _¹ m_{² /  r ²} where F is the magnitude of force of attraction between two masses m1 and m2 at a distant ' r ' apart. Derive the unit for the gravitational distant G in terms of the base unit of S.I.

Given below are some examples of motion. State in each case if the motion is one, two or three-dimensional. (a) an wasp flying inside a 100m (b) a football kicked by a player (c) a man dropping and catching a bouncing ball (d) movement of a giant wheel.

A hundred meter spinets increases his speed from rest uniformly at the rate of 1ms^-2 up to three quarters of the total run and covers the last quarter with uniform speed. How much time dose he takes to cover the first half, and the second half of the run?

Read each statement below carefully and state if they are true or false. A particle in one - dimensional motion (a) with zero speed at an instant may have non-zero aueltration at that instant. (b) with zero speed may have non-zero velocity. (c) with constant speed must have zero aueleration (d) with positive value of aueleration must be speeding up.

Rain is falling vertically with a speed of 30ms^-1 wind is blowing with a speed of 10ms-1 in the north to south direction. In which direction should a boy standing near a lamppost hold his umbrella?

A man rows a boat wit a speed of 18 km/h in the northwest direction. The shoreline makes an angle of 15° south of west. Obtain the components of the velocity of the boat along the shoreline and perpendicular to the shoreline.

A boy standing in the C lift of the terrace of a multi-story building, which is 490m above the ground, throws a stone horizontally with an initial speed of 15ms^-1. Neglecting air resistance, find the time taken by the stone to reach the ground and the speed with which it hits the ground?

A tiny toy train moving in a circle of radius 12cm completes 7 revolutions in 100secounds. Find (a) what is the angular speed, and the liner speed of the motion , (b) is the acceleration vector a constant vector? What is its Magnitude?

Pick out the vector quantities in the following list. Temperature, Pressure, Charge, Co-efficient of Friction, energy, impulse, gravitational potential, power, time.

Define Newton's three laws of motion?

A bullet of mass 0.04kg moving with a speed of 90 ms^-1 enters a heavy wooden block and is stopped after a distance of 60 cm. What is the average resistive force existed by the block on the bullet?

State two advantages and two disadvantages of friction.

A rocket if initial mass 1000 kg ejects mass at a constant rate of 16kg s^-1 with constant relative speed of 11km s^-1. What is the acceleration of the rocket a minute after the blast?

What is the amount of work done by
(a) a father holding a baby of 19kg above his shoulder for 15 seconds.
(b) A man pressing a rigid wall with a force of 400N
(c) An electron moving with half the speed of light in empty space of electromagnetic fields and for from all matter.
(d) A locomotive against gravity, if it is travelling on a level plane.

A body of mass 10kg moving with a speed of 2ms^-1 on a frictionless table impinges on a mounted spring of force constant 4 x 105 N ms^-1. What is the compression of the spring when the body comes to rest.

A railway carriage of mass 10,000kg moving with a speed of 54km/h strikes a stationary carriage of the same mass. After the collision , the carriages get complied and move together. What is their common speed after the collision? Is the collision elastic?

Give the location of the center of mass of a (a) SPHERE, (b) cylinder, (c) ring, and (d) cube, each of uniform mass density. Dose the center of mass of a body necessarily lie inside the body?

A child sits stationary at one end of a long trolley moving uniformly with a speed v on a smooth horizontal floor. If the child gets up and runs about the trolley in any manner, what is the speed of the CM is the system ( trolley + child).