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An object is projected with a velocity U at an angle R to the horizontal.It just clears two walls of equal height b and at a distance of b apart. Show that 2U cosR√(U² sin²R - 2bg) = bg?
A car of mass 8000kg moves in a circular path of radius 100m with a linear velocity of 50m/s.Calculate the i) Angular velocity ii) Angle the tyre makes with the ground iii) condition for skidding for u(coefficient of friction)= 0.5?
It is known that the mass of the earth is 81 times the mass of the moon.Show that the point of weightless between the earth and the moon for a spacecraft occur at 9/10 of the distance to the moon Hint: Me/b²=Mm/(a-b)²?
22. 2.76 g of silver carbonate on being heated yields a reduce weigh
a) 2.32 g b) 3.32 g c) 1.36 g d) 0.32 g
Consider the linear equation 2a + 3b = 4
Is (a; b) = (1; 1
2
) a solution to the equation? Motivate your answer.
10 Look up the concept of a homogeneous linear system.
Which of the following linear systems is homogeneous. [just give the answer I) or II) or III) : no motivation
is required.]
I) 3x + 14y = 0 & 2x − 3y = 7
II) 7x + 2y = 10 & 11x − 0y = 7
III) 4x − 23y = 0 & 7x − 3y = 0
11.) You have a linear homogeneous system in three variables. Give a solution that this system must have.
T
A capacitor of capacitance 20 micro-microfarads consists of two parallel plates each moving an area of 200 cm^2, separated in air a distance d apart. This condenser is charged to a difference in potential of 200 V and it is then disconnected from the source. Find (a) the distance of separation d, (b) the charge stored in the condenser, (c) the work done in storing this charge, and (d) the work needed to pull the plates apart to a distance of 3d.
A particle of charge 3 x 10-9 C is located at point (0,0) in a certain coordinate system. Assuming all lengths are in meters, calculate the potential at the following points: A (3,3) and B (0,2). How much work is needed to take a particle of charge 2 x10-5 C from point A to point B?
5.) A worker borrowed money on April 20, 1995 and promised to pay 18,000 on march 4, 1996 with 16% interest. Determine the money he has borrowed using exact interest.
why using num variable please explain
