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There are 400kf/min of water being handled by a pump. The lift us firm 20-m deep well and the delivery velocity ks 15m/s. Find (a) the change in potential energy, (b) kinetic energy, (c) the required power of the pumping unit; g= 9.81m/s²

1. Ring the alarm on time 2. Make coffee 3. Heat the water to a suitable temperature 4. Pack your bag 5. Cook breakfast and lunch 6.iron the clothes

A 100 W light bulb is connected to a 200V supply calculate (a) the current flowing in the bulb and (b) the resistance of the bulb


consider the following system number of pages 2k page size is 4k words physical address 18 bits now calculate logical address space and number of frames?


Explain why does the relative humidity of air decrease when air is heated sensibly at constant specific humidity.

4.) Design an Optimal Binary Search Tree for 7 nodes with their probability is given respectively as (2,8,7,6,4,3,9). Also find the leaf nodes, root, internal nodes, external nodes, height of OBST, Depth




of the last leaf, Level of the second last leaf node.

Three different ways on how the tools will be used to improve teamwork

The equation for the instantaneous voltage across a

discharging capacitor is given by v = Voe

-l-

, where Vo is

the initial voltage and r is the time constant of the circuit.

The tasks are to:

a)

b)

C)

Draw a graph of voltage against time for Vo=12V

and r = 2s, between t = Os and t = 10s.

Calculate the gradient at t = 2s and t = 4s.

Differentiate v = 12e 2 and calculate the value of

du

dt

at t= 2s and t= 4s.

d)

e)

Compare your answers for part b and part c.

Calculate the second derivative of the instantaneous

¿2.

di2

3).


Show that the slow-down ∆v of the Earth due to the asteroid collisions is given by: ∆v = v  1 − 1 1 + πR2dρ m M


Assume that a gravitational anomaly in the solar system has shied afield of asteroids into Earth’s orbit, and the field is now moving directly towards Earth. The asteroid field has a density of ρ (asteroids/volume), and each asteroid has an average mass of m. The asteroid field stretches over a distance d in Earth’s path. Assume that the Earth moves with a velocity of v, the asteroids with u, and that v  u. Let R be the radius and M the mass of the Earth. The Earth collides with the asteroid field:


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