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A father pushes his young daughter on a sled up a 15o inclined-plane which is moving at a


constant velocity. If the push of the father is directed horizontally with a magnitude of


92.0 N, (a) how much work is done by the applied force of the father on the sled with the girl


up to a height of 3.25 m from the base of the inclined plane? (b) What is the work done by


the weight on the sled with the girl if its total mass is 35.0 kg?



A 1200 kg station wagon is moving along a straight highway at 120 m/s. Another car, with

mass 1800 kg and speed 20 m/s, has its centre of mass 40 m ahead of the centre of mass of

the station wagon. Find the position of the centre of mass of the system consisting of the

two automobiles. Find the magnitude of the total momentum of the system. Find the speed

of the system using the speed of the centre of mass.


Problem 1: School A has a mean population IQ of 100 with a standard deviation of 15. A principal of the said school claims that the students in his school have above average intelligence. A random sample of 30 students IQ scores have a mean score of 112. Is there sufficient evidence to support the principal’s claim at 5% alpha? Problem: State the level of significance. *

A coin was flipped four times. Let T be the number of tails that come out.




A. Construct the probability distribution of the random variable



B.Construct the probability histogram

In a country there are 48000 people in the defence services. They work in the army, navy and air force in the ratio 5:2:3 . how many people are in each service?


A ball is thrown forward horizontally from the top of a cliff with a velocity 10ms-1. The






height of the cliff above the ground is 45m. Calculate (i) the time to reach the ground (ii)






the distance from the cliff of the ball on hitting the ground (iii) the velocity with which






the ball hits the ground. (iv) the direction of the ball to the horizontal just before it hits






the ground

Was money a better store of value in the United States in the 1950s than it was in the 1970s? Why or why not? In which period would you have been more willing to hold money?


Simplify the following Boolean functions using three-variable map:

F (x, y, z) = Σ (0, 1, 5, 7) 


Why were people in United States in the ninteenth century sometimes willing to he paid by check rather than with gold, even though they knew that there was a possibility that they check might bounce?


Discuss the principles of Pecking Order theory in respect to fundraising for capital investment. 


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