Answer:
The heat transferred to water equals 1600 kJ
Explanation:
By the conservation of energy we have
All the kinetic energy of the moving vehicle is converted into thermal energy
We know that kinetic energy of a object of mass 'm' moving with a speed of 'v' is given by
Thus
Thus the heat transferred to water equals
What is a function ?
An expression or rule that defines a relationship between two variables [ one independent and other dependent variable ]
for example ~
y = x² is a function, where y is a dependent variable and x is independent variable.
This function is used to find squares and numbers ~
Answer:
The two values of x are 2n*pi + pi/12 and 2n*pi -5pi/12
Explanation:
The given equation is
Sin x +√3 Cosx= √2
Upon dividing the equation by 2 we get
Sin()*Sinx + Cos(
)*Cosx =
This makes the formula of
CosACosB + SinASinB = Cos(A-B)
Cos(x-) =
cos(x- pi/6) = cos(pi/4)
upon writing the general equation we get
x-pi/6 = 2n*pi ± pi/4
x = 2n*pi ± pi/4 -pi/6
so we will have two solutions
x = 2n*pi + pi/4 -pi/6
= 2n*pi + pi/12
and
x = 2n*pi - pi/4 -pi/6
= 2n*pi -5pi/12
Therefore the two values of x are 2n*pi + pi/12 and 2n*pi -5pi/12.