Answer:
The period is proportional to the square root of the length of the wire.
The period is independent of the suspended mass.
Explanation:
The period of a simple pendulum, in the small angle oscillation approximation, is given by

where
L is the length of the pendulum
g is the acceleration due to gravity
From the formula, we notice the following facts:
- The period is proportional to the square root of the length of the wire, L
- The period is independent of the suspended mass, m
So, these are the two correct statements.
To solve this problem we must keep in mind the concepts related to angular kinematic equations. For which the angular velocity is defined as

Where
Final angular velocity
Initial angular velocity
Angular acceleration
t= time
In this case we do not have a final angular velocity, then

Re-arrange for 



Therefore the mangitude of the angular aceleration is 5449.1rad/s²
Answer:
Heat needed = 71.19 J
Explanation:
Here heat required can be calculated by the formula
H = mL
M is the mass of water and L is the latent heat of vaporization.
Mass of water, m = 31.5 g = 0.0315 kg
Latent heat of vaporization of water = 2260 kJ/kg
Substituting
H = mL = 0.0315 x 2260 = 71.19 kJ
Heat needed = 71.19 J
Answer:
Explanation:
given,


vector product 
= 
now, expanding the vector
the vector product is equal to