Answer:
Given that
Now it is given that
Now the distance can be calculates as
Differentiating with respect to 't' and equating to zero for minimizing the function we get
The shortest distance is thus given by
Answer: 18.81m/s^2
Explanation:
Given the following :
Height of building = 0. 1 km = 100m
Horizontal distance = 85m
Using the equation :
S = 1/2gt^2
And S = 100, g = 9.8m/s^2
100 = 0.5(9.8)(t^2)
100 = 4.9(t^2)
t^2 = (100 / 4.9)
t^2 = 20.408
t = 4.5175214
t = 4.52s
Therefore, initial velocity of ball in horizontal direction;
Using the equation:
S = ut + 0.5at^2
a in horizontal direction = 0
Therefore,
S = ut
85 = u × 4.52
u = (85 / 4.52)
u = 18.805
u = 18.81m/s
Answer:
Explanation:
A point charge Q is placed at the center of a cube of side l.
We need to find the flux through one face of the cube. Let the flux is .
There are 6 faces in a cube.
According to Gauss's law, net flux is given by :
As there are 6 faces of a cube, flux through one surface is :
So, the flux through one face of the cube is .