Anjana Tharanga
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Answered a Question in Physics
According to Newton's law of universal gravitation when there are two bodies with mass `m_(2)` an attractive force is acting between them. That force can be expressed as, `F =... 
Answered a Question in Science
Actually you and the ball do not fly at 900 miles per hour relative to earth. Since you and the ball are on earth ( the system is earth and its atmosphere) you only feel movements with respect to... 
Answered a Question in Math
Lets consider the LHS `(sin^2 theta)/(1cos theta)` `=> (1  cos^2 theta)/(1cos theta) ` `(sin^2 theta + cos^2 theta = 1)` `=> ((1cos theta)(1+cos theta))/(1cos theta)` `=> 1 + cos... 
Answered a Question in Math
let the volume of a cone be, `V` ` ` height of the cone be,` `` `` h ` radius of the cone be,`r` Then the volume of the cone can be expressed as, `V = (1/3)Pi(r^2)h  (1)` now we have to find a... 
Answered a Question in Math
the position in the x direction is given by, `x = e^((2t))  (1)` ` ` now the acceleration in the x direction is given by, ` ``(d^2x)/dt^2` lets differenciate the equation (1) to obtain an... 
Answered a Question in Science
Here again we have to assume that that the gas is behaving as an ideal gas. Then we can apply the ideal gas law to calculate the number of gas molecules in this question. The ideal gas law can be... 
Answered a Question in Science
First of all we have to assume that this gas behaves as an ideal gas and hence we can apply the ideal gas law to this particular incident. `PV = nRT` `V = (nRT)/(P)` here n = 0.275 mol T= 75 K P=... 
Answered a Question in Math
First lets consider the x direction. `x = 3  2t^2` velocity in the x direction is given by `dx/dt` ` ` hence lets derive it `dx/dt = 04t = 4t` ` `when t = 1/2, `dx/dt = 2` therefore... 
Answered a Question in Math
here base used is 5 and we do not know the value of `log_(5) 16` therefore we have to convert to a expression with a base that we know the values. That is the base of 10. We know that `log_(a)... 
Answered a Question in Math
In the triangle CAT, the angle T which is denoted by`/_T` is adjacent to the sides a and c As the side c is opposite to the `/_C` ,we can draw a perpendicular to the... 
Answered a Question in Math
consider the equation `ax^2 + bx + c =0(1)` let the roots of this equation... 
Answered a Question in Science
The main reason for the issue of global warming is the emitting of green house gases in huge amounts. Especially carbon dioxide. So if we can control the emission of these gases to atmosphere we... 
Answered a Question in Science
for this problem we can use the equation, s = ut + (1/2)(a.t^2) Here the starting velocity is... 
Answered a Question in Math
first we have to rearrange the equation as follows, X(x4)(3x+2)=240 =>x(3x^2  10x 8)  240 = 0 => 3x^3  10x^2 8x 240 = 0 (1) when we consider the equation (1) when x = 6, LHS = 0... 
Answered a Question in Math
Obviously yes. This can be written as, =>(x+y0^11 =>((x+y)^10)x(x+y) in (x+y)^10, there is a x^10 term and when it gets multiplied with y it become x^10 y when we consider... 
Answered a Question in Math
sin(angle)^2 / 1cos(angle) as sin(angle)^2 + cos(angle)^2 = 1 we can rewrite as, =>{1  cos(angle)^2 }/ 1cos(angle) => (1cos(angle))(1+cos(angle)) / (1  cos(angle)) => 1... 
Answered a Question in Science
Molecularweight of C = 12g/mol and H= 1g/mol according to the given data the number of C moles are, = (32/12) = (8/3)mol Methane has the formula of CH4. Hence the number of H moles = (8/3) x 4 =... 
Answered a Question in Math
For this question we can use the following equation, cos(AB) = cos(A)cos(B) + sin(A)sin(B) In this example we can use, A = 8 deg and B= 38 deg hence we can write the equation as, cos(8)cos(38) +... 
Answered a Question in Science
The reaction can be written as, 2Hg + O2 > 2HgO For the calculation the... 
Answered a Question in Science
First lets calculate the volume of the silver cube The length of a side = 0.62 m Volume of the cube = (0.62 m)^3 ... 
Answered a Question in Math
=> (1 +sec x) / (sec x) => ( 1+ (1/cos x)) / (1/cosx) musltply each term by cos x => (cos x + 1) / 1 multiply both numerator and the denominator by (1 cos x) => (1 + cos x)(1 cos... 
Answered a Question in Physics
for this question we can use the following equation, S = u.t + (1/2).a.(t^2) .... (1) in the x direction the velocity component is given by,... 
Answered a Question in Math
if the cordinates of the center of the circle is given by (h,k) and if the radius of the circle is given by r, the equation of the circle can be written as, (xh)^2 + (yk)^2 = r^2 ......(1) as... 
Answered a Question in Chemistry
The reaction between sadium chloride and the hydrochloric acid can be illustrated by, NaOH + HCl > NaCl + H2O so here 1 mole of NaOH reacts with 1 mole of HCl. Hence it is required to convert... 
Answered a Question in Math
The path of the particle is given by, y = 9x  x^2 .....(1) when the particle intercepts the xaxis the y cordinate of the... 
Answered a Question in Math
X + 8Y = 19 ...(1) 3X  Y = 4 ...(2) multiply the second equation by 8 8 x (2) => 24X  8Y = 32 ....(3) add the first and third equations (1)+(3)=> X + 8Y +24X 8Y...