Answer:
the period of the 16 m pendulum is twice the period of the 4 m pendulum
Explanation:
Recall that the period (T) of a pendulum of length (L) is defined as:

where "g" is the local acceleration of gravity.
SInce both pendulums are at the same place, "g" is the same for both, and when we compare the two periods, we get:

therefore the period of the 16 m pendulum is twice the period of the 4 m pendulum.
Answer:
The speed of the police car is 294 m/s
Explanation:
Given;
frequency of the siren in air, f = 280 Hz
speed of sound in air, v = 343 m/s
Determine the wavelength of the sound in air to the stationary car:
v = fλ
where;
λ is wavelength of the sound
λ = v/f
λ = 343 / 280
λ = 1.225 m
Now, determine the speed at which the police car is approaching the stationary car;
The actual frequency of the police car, F = 240 Hz
V = Fλ
Where;
V is speed of the police car
λ is the distance between the police car and the stationary car, (wavelength)
V = 240 x 1.225
V = 294 m/s
Therefore, the speed of the police car is 294 m/s
The magnitude of the total displacement of her trip is 2.2 miles.
<h3>
Total displacement of Olivia's trip</h3>
The magnitude of the total displacement of her trip is calculated as follows;
Total east journey = 0.8 mi + 1.2 mi = 2 mi
Resultant displacement = √(y² + x²)
Resultant displacement = √(0.9² + 2²)
Resultant displacement = 2.2 mi
Thus, the magnitude of the total displacement of her trip is 2.2 miles.
Learn more about displacement here: brainly.com/question/321442
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Answer:
Explanation:
According to Newton's laws of gravitation force of attraction is given by
F = GMm/R²
G = 6.67 X 10⁻¹¹
,M = 2.5 Kg ,
m = 2.5 Kg ,
R = .14 m
=
F = 6.67 X 10⁻¹¹ X 2.5 X 2.5 / 0.14²
= 2126.9 X 10 ⁻¹¹ N.