Exercise is the activity and fitness is a lifestyle and done with time
A pendulum's time period is the amount of time it takes to complete one oscillation. The pendulum with a length of 3.98 m and a length of 99.4 cm will have a time period of 4 and 1.99 seconds, respectively.
<h3>What is the definition of a
simple pendulum?</h3>
A simple pendulum is a device with a point mass hanging from fixed support and connected to a light inextensible thread.
The vertical line going through the fixed support represents the mean position of a basic pendulum.
h = vertical distance from the point of suspension
L = length of the simple pendulum
The time period of the simple penduum is given by

For l = 3.98 m

T = 4 second
For l = 99.4 cm = 0.994 m

T = 1.99 second
The time period of the pendulum having 3.98 m and 99.4 cm in length will be 4 and 1.99 seconds respectively.
To learn more about the simple pendulum refers to the link;
brainly.com/question/14759840
Answer:
An inelastic collision is a collision in which there is a loss of kinetic energy. While momentum of the system is conserved in an inelastic collision, kinetic energy is not.
Answer:
A) U₀ = ϵ₀AV²/2d
B) U₁ = (ϵ₀AV²)/6d
This means that the new energy of the capacitor is (1/3) of the initial energy before the increased separation.
C) U₂ = (kϵ₀AV²)/2d
Explanation:
A) The energy stored in a capacitor is given by (1/2) (CV²)
Energy in the capacitor initially
U₀ = CV²/2
V = voltage across the plates of the capacitor
C = capacitance of the capacitor
But the capacitance of a capacitor depends on the geometry of the capacitor is given by
C = ϵA/d
ϵ = Absolute permissivity of the dielectric material
ϵ = kϵ₀
where k = dielectric constant
ϵ₀ = permissivity of free space/air/vacuum
A = Cross sectional Area of the capacitor
d = separation between the capacitor
If air/vacuum/free space are the dielectric constants,
So, k = 1 and ϵ = ϵ₀
U₀ = CV²/2
Substituting for C
U₀ = ϵ₀AV²/2d
B) Now, for U₁, the new distance between plates, d₁ = 3d
U₁ = ϵ₀AV²/2d₁
U₁ = ϵ₀AV²/(2(3d))
U₁ = (ϵ₀AV²)/6d
This means that the new energy of the capacitor is (1/3) of the initial energy before the increased separation.
C) U₂ = CV²/2
Substituting for C
U₂ = ϵAV²/2d
The dielectric material has a dielectric constant of k
ϵ = kϵ₀
U₂ = (kϵ₀AV²)/2d
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