Prepare a detailed account, on any one of the given environmental components: water, soil.

State whether the given statements are true or false:

i) Hippocrates was the first person to introduce ecological approach long before the term ecology was coined.

ii) Synecology is the study of individuals or populations of a single species with respect to their environment.

iii) Most gaseous cycles are imperfect biogeochemical cycles.

iv) Competetion in the community is not limited within the species.

v) Autotrophs are capable of photosynthesis.

Nichews

Ecological pyramids

Field capacity

Biomagnification

Keystone species

A particle is being rotated in a centrifuge which has a radius of 5.0 m. If the particle’s centripetal acceleration is 4 g, determine its speed. What is the time period of its motion?

What is the effective weight of a person of mass 75 kg carried vertically up in a rocket with an acceleration of 1.5g?

A satellite of mass 2500 kg is orbiting the Earth in an elliptical orbit. At the apagee, the altitude of the satellite is 3000 km, while at the perigee its altitude is 1000 km. Calculate the energy and angular momentum of the satellite and its speed at the apagee and perigee.

A particle of mass 3m initially moving with a speed u in the positive x-direction collides with a second particle of mass m moving in the opposite direction with an unknown speed v. After collision the mass 3m moves along the negative y-direction with a speed u/2 and the mass m moves with a speed v^, in a direction making an angle of 45˚ with the positive x-direction. Determine v and v^, in units of u. Is the collision elastic?

A disc rotates with a period of 0.50s. Its moment of inertia about its axis of rotation is 0.08 kg m² . A small mass is dropped onto the disc and rotates with it. The moment of inertia of the mass about the axis of rotation is 0.02 kg m_² Determine the final period of the rotating disc and mass system

Three particles of equal masses m are placed at the vertices of an equilateral triangle of side 2.0 m. Determine the centre of mass of this system.

A horizontal rod with a mass of 15 kg and length 10 m is hinged to a wall and supported by a cable which makes an angle of 30º with the rod. Calculate the tension in the cable, and the force exerted by the pivot.

A merry-go-round is initially at rest. On being given a constant angular acceleration it reaches an angular speed of 0.50 rad s^-1 in 10.0 s. At t = 10.0 s, determine the magnitude of: (i) the angular acceleration of the merry-go-round ; (ii) the linear velocity of a child sitting on the merry-go-round at a distance of 3.0 m from its centre; (iii) the tangential acceleration of the child; (iv) the centripetal acceleration of the child; and (v) the net acceleration of the child.

A box of mass 15 kg is sliding along a smooth floor with a velocity of 15.0 ms^-1 . It then enters a rough portion which has a length of 6.0 m. In this portion of the floor, a frictional force of 80.0 N acts on the box. Determine (i) the work done by the frictional force on the box? (ii) the velocity of the box when it leaves the rough surface and (iii) the length of the rough surface required to bring the box completely to rest. Take g=10.0 ms^-2

A car is traveling towards the east at a speed of 10.0 ms^-1 . It then turns towards the north and continues to travel at the same speed. If the turn is made in a time of 5.0 s and the mass of the car is 2000 kg, calculate (i) the impulse delivered to the car because of the turn and (ii) the average force exerted on the car during the turn.

A crate of mass 40.0 kg is pulled by a force of 2000 N, up an inclined plane which makes an angle of 3O with the horizon. The coefficient of kinetic friction between the plane and the crate is k = 0.20. If the crates slans from rest, calculate its speed after it has been pulled 10.0 m. Draw the free body diagram. Take g = 10.0 mn ^-2.

Discuss the procedure for pre and post grant opposition.

Discuss various grounds for revocation of a patent.