A rocket of mass 20000 kg is ejecting the gases at the rate of 50 kg/sec with speed of 20 m/sec in gravity free space. Find the acceleration of rocket at 2 sec.
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`d/(dx)sqrt((1-sin2x)/(1+sin2x))i se q u a lto,(0<x<pi/2),` `sec^2x` (b) `-sec^2(pi/4-x)` `sec^2(pi/4+x)` (d) `sec^2(pi/4-x)`
`y=sqrt((1-sin 2x)/(1+ sin 2x))=(cos x - sin x)/(cos x + sin x)=(1-tan x)/(1+ tan x)=tan ((pi)/(4)-x)` `therefore (dy)/(dx)=-sec^(2)((pi)/(4)-x)`
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Three infinitely long thin wires, each carrying current `i` in the same direction, are in the `x-y` plane of a gravity free space . The central wire i
Correct Answer - [(a) `x=0;` (b) `(1)/(2pi)sqrt(((mu_(0)i^(2))/(pid^(2)lamda)))`]
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The length of a rectangle is decreasing at a rate of 3 cm/sec and breadth is increasing at a rate of 4 cm/sec. Find the rate of change of its (a) peri
Correct Answer - `(a) 2 cm//sec (b) 4 cm^(2)//sec`,Increase
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A jet is releasing water at the rate of 6 kg/see with speed of 4 m/sec. Now this water strikes a block of mass 10 kg. find the force exerted on block
Correct Answer - `(f=24N,a=2.4m//sec^(2))`
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A ball of mass 2 kg is moving with velocity 20 m/sec strikes with the surface and rebounds with same speed, if time of contact is 0.1 sec then calcula
Correct Answer - 800 N
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Define centre of gravity of a body. Under what conditions the centre of gravity and centre of mass coincide?
1. centre of gravity of a body is the point around which the resultant torque due to force of gravity on the body is zero. 2. The centre of mass coincides...
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The velocity of rocket with respect to ground is v1 and velocity of gases ejecting from rocket with respect to ground is v2 Then velocity of gases
Correct option is: (B) \(v_2 - v_1\) Then velocity of gases with respect is \(v = v_2 - v_1\)
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The velocity of rocket with respect to ground is v1 and velocity of gases ejecting from rocket with respect to ground is v2 Then velocity of gases
2 Answers
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11) A sum of ₹20000 accumulated to ₹ 50000 , after 12 years. Find the rate of simple interest p.a., which was effective in this situation.
Here, P = 20000, A = 50000, T = 12 years(T× is time period) S.I. = A - P = 50000- 20000 = 30000 S.I. = P × R × T /...
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The velocity of a small object that has separated from a rocket moving in free space with velocity of 11 km/s is
Correct option is B) 11 km/s
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