Answer:
Explanation:
From the attached diagram below:
AC = a (1 + e) = R₂ -------- equation (1)
CD = a ( 1 - e) = R₁ --------- equation (2)
⇒ 1 - e =
Replacing the value for e into equation (1)
From Kepler's third law;
Electromagnetic waves carry sound
Answer: 45.3°
Explanation:
Given,
Length of ladder = l
Weight of ladder = w
Coefficient of friction = μs = 0.495
Smallest angle the ladder makes = θ
If we assume the forces in the vertical direction to be N1, and the forces in the horizontal direction to be N2, then,
N1 = mg and
N2 = μmg
Moment at a point A in the clockwise direction is
N2 Lsinθ - mg.(L/2).cosθ = 0
μmgLsinθ - mg.(L/2).cosθ = 0
μmgLsinθ = mg.(L/2).cosθ
μsinθ = cosθ/2
sin θ / cos θ = 1 / 2μ
Tan θ = 1 / 2μ
Substituting the value of μ = 0.495, we have
Tan θ = 1 / 2 * 0.495
Tan θ = 1 / 0.99
Tan θ = 1.01
θ = tan^-1(1.01)
θ = 45.3°
Yes, a laboratory balance can accurately measure mass on moon also.
Explanation
The work of laboratory balance is to determine the mass of an object.
Generally, a laboratory balance consists of two pans and it determines the mass of an unknown object by reference with a known mass object.
Also the mass of any object tends to remain constant in all conditions.
The mass has no effect due to gravitational force unlike weight. So the laboratory balance can work accurately in any environment as the mass will be constant in any case.
Thus, if a laboratory balance measures mass accurately on earth, then it will measure mass accurately on moon also as mass is not dependent on gravitational force.