A. nucleus
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Answer:
Angular acceleration = 6.37rad/sec²
Approximately, Angular acceleration =
6.4 rad/sec²
Explanation:
Length of the rod = 2.0m long
Inclination of the rod (horizontal) = 30°
Mass of the rod is not given so we would refer to it as = M
Rotational Inertia of the Rod(I) = 1/3ML²
Angular Acceleration = ?
There is an equation that shows us the relationship between Torque and Angular acceleration.
The equation is :
Torque(T) = Inertia × Angular Acceleration
Angular acceleration = Torque ÷ Inertia
Where:
Torque = L/2(MgCosθ)
Where M = Mass
L = Length = 2.0m
θ = Inclination of the rod (horizontal) = 30°
g = Acceleration due to gravity = 9.81m/s²
Inertia = 1/3ML²
Angular Acceleration = (Mass × g × Cos (30°) × (L÷2)) ÷ 1/3ML²
Angular Acceleration =
(3 × g × cos 30°) ÷ 2× L
Angular Acceleration = (3 × 9.81m/s² × cos 30°) ÷ 2× L
Angular Acceleration = 3 × 9.81m/s² × cos 30°) ÷ 2× 2.0m
Angular Acceleration = 6.37rad/sec²
Approximately Angular Acceleration =
6.4rad/sec²
Answer:
500 Pa
Explanation:
Convert given units to SI:
100 dyne = 0.001 N
0.02 cm² = 2×10⁻⁶ m²
Pressure = force / area
P = 0.001 N / (2×10⁻⁶ m²)
P = 500 Pa
The work done is the loss of kinetic energy.
Loss of kinetic energy = m*(v1^2 - v2^2)/2 = 10 kg * [ (99m/s)^2 - (1m/s)^2]/2 = 49,000 J
Answer: (1) centripetal force is inversely proportional to the radius of an object moving in a circular form.
Centripetal force = mv^{2}/r.
m=mass, v=velocity, r=radius.
(2). Doubling the mass affect the centripetal force following the fact that the centripetal force is directly proportional to the mass therefore, if the centripetal force increases four times (Radius kept constant), the mass increases two times.
(3) If radius is increased, then the centripetal force will decrease.
(4). If mass is doubled, then the centripetal force will also double.
Explanation:
from the above relation, centripetal force is inversely proportional to the radius and is directly proportional to the mass and velocity.
If only the centripetal force is increase and others are kept as it is, then the moving object will gradually move towards the focus point reducing the radius proportional to the increase in centripetal force.
for example:- relating to mass and velocity, if the centripetal force is increase four times, the mass or velocity will increase two times keeping the radius constant for the condition.
