A 2.5 kg mass starts from rest at point A and moves along the x-axis subject to the potential energy shine in the figure below (a) Determine the speed (in m/s) of the mass at point B, C,D (For each answer, enter a number)

(b) Determine the turning point of the mass. (Select all that apply.)
Point A
Point B
Point C
Point D
Point E

With the use of K.E formula, the correct answers are:

a.) At point B, velocity = 2m/s

b.) At point C, velocity = 4m/s

C.) At point D, velocity = 3.5 m/s

POTENTION ENERGY

At maximum energy, total energy will be equal to maximum kinetic energy.

Given that a 2.5 kg mass starts from rest at point A and moves along the x-axis subject to the potential energy shown in the given figure.

Let us assume the that their maximum potential energies are given.

Total energy = maximum P.E = Maximum K.E

According to the graph, the P.E at point B,C, and D are:

Since Maximum P.E = Maximum K.E = 1/2m

At point B

5 = 1/2 x 2.5 x

= 10/2.5

= 4

v =

v = 2 m/s

At point C

20 = 1/2 x 2.5 x

= 40/2.5

= 16

v =

v = 4 m/s

At point D

15 = 1/2 x 2.5 x

= 30/2.5

= 12

v =

v = 3.5 m/s

b.) The turning point should be any point where velocity is negative. Since there is no point where velocity is negative, let us consider the points where potential energy is increasing.

The turning points of the mass will be at point B and D

Learn more about Potential Energy here: link

d₁ = displacement of tern from arctic to antarctic = 11000 miles

d₂ = displacement of tern from antarctic to arctic =   - 11000 miles

d = total displacement for the journey

total displacement for the journey is given as

d = d₁ + d₂

d = 11000 + (-11000)

d = 0 miles

t₁ = time of travel from arctic to antarctic = 3 months = 3 x 30 days = 90 days

t₂ = time of travel from antarctic to arctic = 3 months = 3 x 30 days = 90 days

t = total time of travel

total time of travel is given as

t = t₁ + t₂

t = 90 + 90

t = 180 days

average velocity is given as

average velocity = total displacement/ total time

v = d/t

v = 0/180

v = 0 miles/day