According to Kepler third law the relation between orbital period and radio of matter in the Galaxy is given by
Where,
a = Radius of start orbit
p = Orbital Period
M = Total mass in a sphere of radius centered on galactic center
Our values are given as
Replacing we have,
Therefore the mass of the galaxy within the sun's orbit is 108Billion the mass of the sun.
Answer:
Explanation:
The cross product of two vectors is given by
Where, θ be the angle between the two vectors and \widehat{n} be the unit vector along the direction of cross product of two vectors.
Here, K x i = - j
As K is the unit vector along Z axis, i is the unit vector along X axis and j be the unit vector along axis.
The direction of cross product of two vectors is given by the right hand palm rule.
So, k x i = j
j x i = - k
- j x k = - i
i x i = 0
Answer:
Explanation:
According to Pascal's Law, the pressure transmitted from input pedal to the output plunger must be same:
where,
F₁ = Load lifted by output plunger = 2100 N
F₂ = Force applied on input piston = 44 N
r₁ = radius of output plunger
r₂ = radius of input piston
Therefore,
Answer:
248
Explanation:
L = Inductance of the slinky = 130 μH = 130 x 10⁻⁶ H
= length of the slinky = 3 m
N = number of turns in the slinky
r = radius of slinky = 4 cm = 0.04 m
Area of slinky is given as
A = πr²
A = (3.14) (0.04)²
A = 0.005024 m²
Inductance is given as
N = 248