A rocket with a lift-off mass 20,000 kg is blasted upwards with an initial
acceleration of 5.0 m s-2. Calculate the initial thrust (force) of the blast.
The driver of a three-wheeler moving with a speed of 36 km/h sees a child
standing in the middle of the road and brings his vehicle to rest in 4.0 s just
in time to save the child. What is the average retarding force on the vehicle ?
The mass of the three-wheeler is 400 kg and the mass of the driver is 65 kg.
A body of mass 5 kg is acted upon by two perpendicular forces 8 N and 6 N.
Give the magnitude and direction of the acceleration of the body.
A constant force acting on a body of mass 3.0 kg changes its speed from 2.0 m s-1
to 3.5 m s-1 in 25 s. The direction of the motion of the body remains
unchanged. What is the magnitude and direction of the force ?
A constant retarding force of 50 N is applied to a body of mass 20 kg moving
initially with a speed of 15 m s-1. How long does the body take to stop ?
The Cartesian product A × A has 9 elements among which are found (–1, 0) and
(0,1). Find the set A and the remaining elements of A × A.
Let A and B be two sets such that n(A) = 3 and n(B) = 2. If (x, 1), (y, 2), (z, 1)
are in A × B, find A and B, where x, y and z are distinct elements.
Let A = {1, 2} and B = {3, 4}. Write A × B. How many subsets will A × B have?
List them.
Let A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8}. Verify that
(i) A × (B ∩ C) = (A × B) ∩ (A × C). (ii) A × C is a subset of B × D.
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