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A hot air balloon rising straight up from a level field is tracked by a range finder 500 ft from the lift-off point. At the moment the range finder's elevation angle is (pi)/(4) . The angle is increasing at the rate of 0.14 rad/min. How fast is the balloon rising at the moment ?

A hot- air balloon consists of a basket, one passenger, and some carge. Let the total mass be M. Even though there is an upward lift force on the balloon, the balloon is initially acceleration downwards at a rate of g//3 . (a) Draw a free-body diagram for the descending balloon. (b) Find the upward lift force in terms of the initial total weight Mg. (c ) The passenger notices that he is heading straight for a waterfall and decides he needs to go up. What fraction of the total weight must he drop overboard so that the balloon accelerates upward at a rate of g//2 ? Assume that the upward lift force remains the same.

Mr. X of mass 80 kg enters a lift and select the floor he wants .The lift now acceleration upwards at 2 ms^(-2) for 2 s and then moves with constant velocity .As the lift approaches his floor ,it decelerates at the same rate as it previously accelerates .If the lift cabes can safely withstant a tension of 2 xx 10^(4) N and the lift itself has a mass of 500 kg ,how many Mr.X' s could it safely carry at one time?

The critical angle for glass air interface is C and for glass water interface is c' . How are C and C' related ?

How will you convert a glass sheet into a translucent sheet ?

Four students A, B, C and D selected the following items from the materials available in the science laboratory to perform an experiment to study the refraction of light through a glass slab : (A) convex lens, glass slab, pins, drawing board, white paper, scale (B) glass slab, pins, drawing board, scale, white paper, protractor (C) glass slab, glass prism, candle, screen, pins, scale, drawing board, protractor (D) concave mirror, pins, glass slab, protractor, white paper, drawing board Correct choice of the items required is made by the student :

A hot air balloon rising straight up from a level field is tracked by a range finder 500 ft from the lift-off point.At the moment the range finder's elevation angle is (pi)/(4), the angle is increasing at the rate of 0.14 rad/min.How fast is the balloon rising at that moment.

How is the power related to the speed at which a body can be lifted ? How many kilograms will a man working at the power of 100 W, be able to lift at constant speed of 1 m//s vertically ? (g= 10 m//s^2)

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