The angular speed of the merry-go-round is
ω = 0.10 rad/s
The angular moment of inertia of a mass, m, at a radius, r, from the center of the wheel is
I = mr²
Therefore, the angular moment of inertia for the children are
I₁ = (25 kg)*(1.0 m)² = 25 kg-m²
I₂ = (25 kg)*(1.5 m)² = 56.25 kg-m²
The combined angular momentum is
ω(I₁ + I₂) = (0.10 rad/s)*(25 + 56.25 kg-m²)
= 8.125 (kg-m²)/s
Answer: 8.125 (kg-m²)/s
Answer:
Explanation:
easy way
when system is all kinetic energy, velocity is at a maximum
E = ½mv²
v = √(2E/m) = √(2(25)/0.5) = √100 = 10 m/s
harder way
ω = √(k/m) = √(80/0.5) = √160 rad/s
When the system is entirely spring potential, the amplitude A is
E = ½kA²
A = √(2E/k) = √(2(25)/80) = 0.790569... = 0.79 m
maximum velocity is ωΑ = 0.79√160 = 10 m/s
Answer:
Explanation:
The expression for the trigonometric function is :
L(t) = A (cos (B(t - C)))+ D ----- equation (1)
where ;
A = 0.125
D = 
D = 0.125
Period of the lunar cycle = 29.53
Then;
Also; we known that December 25 is 7 days before January 1.
Then L(-7) = 0.025
Plugging all the values into trigonometric function ; we have:
Answer:
The comparisons are;
The height of the bromine in the 50 ml beaker will be twice that of the 100 ml beaker
The measurement of the volume with the 50 ml beaker will be more accurate than the measurement taken with the 100 ml beaker, because the differences in the height of the bromine in the 50 ml beaker is more obvious than the differences measured with the 100 ml beaker.
The actual volume of bromine in both beakers will be equivalent
Explanation:
The properties of a liquid are;
1) The volume of a liquid is relatively fixed at conditions that are suitable for it to remain in the liquid state compared to the volume occupied by a gas
2) A liquid will assume the shape of a container in which it is placed
3) The surface of a liquid in a container is flat due in order that the attractive forces between the molecules of the liquid at the surface and inside the body of the liquid should be in equilibrium
Therefore, given that the volume of the Bromine is measured in 50 ml beaker and a 100 ml beaker, there will be differences in the measured height of the same volume of bromine in each beaker.
Answer:
Maximum angle = 3.43⁰
Explanation:
Say that you are given the following information:
vertical distance between the charge plate = 0.03 m
length of the plate = 0.5 m
velocity of the electrons = 5 × 10⁶ ms⁻¹
the maximum angle is given by the formula:
where d = vertical distance between the charge plate
l = length of the plate
substituting the values l and d gives:
maximum angle, 
= 3.43⁰
