If a tunnel is dug through the earth from one side to the other along a diameter and a body is dropped in it, what will be the nature of its motion ?

A trolley of mass 200 kg moves with a uniform speed of 36 km/ h on a frictionless track. A child of mass 20 kg runs on the trolley from one end to the other (10 m away) with a speed of 4 m s^-1 relative to the trolley in a direction opposite to the its motion, and jumps out of the trolley. What is the final speed of the trolley? How much has the trolley moved from the time the child begins to run?

A 20 m deep well with diameter 7 m is dug and the earth from digging is evenly spread out to form a platform 22 m by 14 m. Find the height of the platform.

A ball is dropped from a height of 90 m on a floor. At each collision with the floor, the ball loses one tenth of its speed. Plot the speed time graph of its motion between t = 0 to 12 s.

If the perpendicular distance from the centroid of an equilateral triangle to one of its sides is 'a' find the length of its side

In an electric filed a unit positive charge is displaced from one point to another point along a straingt line of length 2cm and the work done is 2mJ. If it is displaced along a parabilic path between the same points of length 5 cm, What will be the work done?

A company packages its milk powder in cylindrical container whose base has a diameter of 14 cm and height 20 cm. Company places a label around the surface of the container (as shown in the figure). If the label is placed 2 cm from top and bottom, what is the area of the label.

A square loop of side 3cm is placed 25 cm away from a Convex mirror of focal length 10cm. The aixs of the mirror passes through the intersecting point of the diagonals of the loop and is perpendicular to the plane of the loop. What is the area enclosed by the image of the loop?