5308

Physics Vectors Level: Misc Level

A force of magnitude 24\sqrt{2} N makes an angle of 225o with the positive x- axis. Find the x and y scalar components of the vector.




5307

Physics Ray Optics Level: Misc Level

 Three vectors A ,B, and C are such that A+B=C and  I A I 2+ I B I2 =IC I 2. Which of the follwing statements is correct?




5305

Physics Properties Of Matter Level: Misc Level

A compressed spring that obeys Hooke's law has a potential energy of 18J . If the spring constant of the spring is 4 N/cm , find the distance by which the spring is compressed.




5304

Physics Units Level: Misc Level

1 Watt is the same as:

(a) 1 kg m2 /s2

(b) 1 N m

(c) 1 J s

(d) 1 kg m2 /s 3




5303

Physics Work,Power & Energy Level: Misc Level

A 70 kg cart is pushed for 50 m with a constant velocity upon a 45% frictionless incline. Find the work done on the cart. ( Assume g = 10 m/s2)




5302

Physics Rotational Mechanics Level: Misc Level

A 200 g object is moving in a circle of radius 4 m with a uniform speed of 6 m/s. The net force acting on the object is:




5301

Physics Work,Power & Energy Level: Misc Level

A 0.4 kg ball is thrown vertically upward with a speed of 30 m/s. The ball reaches a height of 40 m. Assuming g =10 m/s 2, the energy dissipated due to air friction is:




5300

Physics Properties Of Matter Level: Misc Level

An ideal gas is held in a container at constant volume, Initially, its temperature is 10.0 degrees celsius and its pressure is 2.50 atm.What is its pressure when its temperature is 80.0 degrees Celsius?

i) what is the pressure of the gas if it is cooled to -20 degrees celsius?




5299

Physics Heat & Thermodynamics Level: Misc Level

A perfectly insulated calorimeter contains 500 mL of water at 30 degrees Celsius and 45 g of ice at 0 ( zero ) degrees celsius. Determine the final temperature of the system.Keep units consistant.




5298

Physics Force & Laws Of Motion Level: Misc Level

A 3 kg ball of putty moving at 1 m/s collides and sticks to a 2 kg ball initially at rest. The putty and ball then move with a momentum of:

(a) 4 Ns

(b) 1 Ns

(c) 3 Ns

(d) 2 Ns

(e) 0 Ns




5297

Physics Force & Laws Of Motion Level: Misc Level

In an inelastic collision, the final total momentum is 

(a) the same as the inittial momentum

(b) less then the initial momentumse

(c) none of these

(d) more than the initial momentum

(d) more tha




5296

Mathematics Integration Level: Misc Level

if  \int_{a}^{b}x^3dx=0  and \int_{a}^{b}x^2dx=\frac{2}{3}  find a and b




5295

Mathematics Integration Level: Misc Level

If   \int_{1}^{a}(3x^2+2x+1)dx=11  find the value(s) of a




5294

Mathematics Integration Level: Misc Level

Evaluate the following definite integral

\int_{\pi}^{\frac{\pi}{2}}e^x\left (\frac{1-Sinx}{1-Cosx} \right )dx




5293

Mathematics Integration Level: Misc Level

Evaluate the following definite integral

\int_{0}^{\frac{\pi}{2}}x^2Cos2xdx


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