The distance traveled by pendulum, in one back-and-forth swing is 75.75 inches.
The period of pendulum can be calculated by

Where,
- period
- length = 12 inches
- gravitational acceleration = 
Put the values,

Now, the angular displacement of the pendulum can be calculated by,

Where,
- amplitude
- angle = 
- angular displacement =
= 2.866 m
Put the values and calculate for
,

Therefore, the distance traveled by pendulum, in one back-and-forth swing is 75.75 inches.
To know more about Amplitude of pendulum,
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The force constant of the spring is approximately 24.038 newtons per meter.
As we are talking about Simple Harmonic Motion. In this exercise we need to determine the Spring Constant (
), in newtons per meter, from the equation of the Period (
), in seconds, which is described below:
(1)
Where
is the mass of the moving element, in kilograms.
If we know that
and
, then the spring constant of the spring is:




The force constant of the spring is approximately 24.038 newtons per meter.
Please see this question related to Simple Harmonic Motion for further details: brainly.com/question/17315536
Answer:
825 kgm⁻³
Explanation:
ρ = density of wood = ?
ρ' = density of water = 1000 kgm⁻³
V = volume of wood = 10 x 4 x 2 = 80 cm³ = 80 x 10⁻⁶ m³
V' = Volume of water displaced = 10 x 4 x 1.65 = 66 cm³ = 66 x 10⁻⁶ m³
Using equilibrium of force in vertical direction
Force of buoyancy = Weight of the wood
ρ' V' g = ρ V g
ρ' V' = ρ V
(1000) (66 x 10⁻⁶) = ρ (80 x 10⁻⁶)
ρ = 825 kgm⁻³
I know that the answer is 3 because 1+2 is 3