Sunita uses a lever of length 5m to lift a piece of stone weighing 1000N. If the distance of the load from the fulcrum is Im, how much effort does she
apply to lift the piece of stone

F = 250 [N] (Force exerted by Sunita)

Explanation:

First we must understand the use of the lever, in the attached picture we see that it is fulcrum and other features.

The moment that the load exerts with respect to the fulcrum should be calculated, as the distance is 1 [m].

Now Sunita must exert the same moment using the remaining distance (4 [m]).

answer: at 24 february, 2014 the population gets twice of its initial population.

explanation:

since we have given that

the population for alpha city, t years after january 1, 2004 is given as

first we find out the initial population, i.e. t=0,

so, our quadratic equation becomes,

according to question, we have said that if the population has twice its initial population, then it becomes

so, time taken to reach this above mentioned population is given by

now, we know that time can't be negative so, we take t=9.149 years.

hence, at 24 february, 2014 the population gets twice of its initial population.

the motion of a pendulum is a classic example of mechanical energy conservation. a pendulum consists of a mass (known as a bob ) attached by a string to a pivot point. as the pendulum moves it sweeps out a circular arc, moving back and forth in a periodic fashion.