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1. A 8 kg block is at rest on a horizontal floor. If you push horizontally on the 8 kg block with a force of 20 N, it just starts to move. (a) What is the coefficient of static friction? (b) A 10.0 kg block is stacked on top ...
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Factorize the following expressions: 1. a/b + b/c + c/a + a/c + b/a + c/b +3 2. (a2 - b2)(c2 - d2) - 4abcd ...
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If S = 1 - 22 + 32 - 42 upto n terms and n is even, then find S. ...
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Two cogged wheels of which one has 32 cogs and other 54 cogs, work into each other. If the latter turns 80 times in three quarters of a minute, how often does the other turn in 8 seconds? ...
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What is the remainder when 7187 is divided by 800? ...
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If xx x = (x x )x then find x. ...
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In a forest, ratio of no. of deers, bear and fox is 3 : 7 : 5. If the difference between no. of deers and bears is a multiple of 3 as well as 7, what is min. no. of animals in the park? ...
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If x(1/m)=y(1/n)=z(1/p) and xyz=1 , find m + n + p ...
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A car and truck start from rest at same instant, with car being a little behind the truck. The truck and car has a constant acceleration of 2.2 m/s2 and 3.5 m/s2 respectively. the car overtakes the truck when it(truck) has mo ...
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Find the solution: x - 1 = 1/3 + 1/(2 + 1/(3 + 1/(2 + .....)to ∞ ) ) ...
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Find the angle between two vectors A and B, when A = 10i + 10j and 1. B = 5i - 5j 2. B = - 5j 3. B = - 5i + 5j ...
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What will be the angle of deviation produced by two mirrors when they are placed 1. parallel to each other 2. perpendicular to each other 3. at an angle of 45° to each other ...
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A,B,C are real values such that A + B + C = 2, A2 + B2 + C2 = 6, A3 + B3 + C3 = 8 then find the value of A4 + B4 + C4 ...
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If A = 7i - 5j N and B = 29j N be two forces acting on a body of mass 1 kg lying at rest at x = 2 cm, then what will be the displacement of the body after 2 seconds? ...
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If the points (1, 3) and (5, 1) are two opposite vertices of a rectangle, and other two vertices lie on the line y = 2x + c, then find value of c. ...
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A and B are the roots of the equation x2 - 13x + N = 0 If A - B = 3, what is the value of N? ...
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Solve the inequality: 2x - 3/3x - 7 > 0 ...
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A truck and a car are moving with the same K.E. on a straight line road. If their engines are turned off at the same time, which one of them will stop at a lesser distance? ...
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We drive a distance of 1 km at 16 km/h. Then we drive an additional distance of 1 km at 32 km/h. What is our average speed? ...
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If x2 - yz/a = y2 - zx/b = z2 - xy/c , then prove that: (a + b + c)(x + y + z) = ax + by + cz ...
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What is the equation of the reflected ray, when the incident ray is given by y = x - 1, and (i) mirror is along x - axis (ii) mirror is rotated by 45° anti-clockwise from x-axis (iii) mirror is along y - axis ...
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If 20 Joules of work is done in compressing a spring from 0 cm to 6 cm then find the work done in compressing the same from 3 cm to 6 cm. ...
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If a2/b + c = b2/a + c = c2/a + b = 1, find 1/1 + a + 1/1 + b + 1/1 + c ...
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For the given regular hexagon, find the perimeter and the area of the hexagon. *Image* ...
