Auniform sphere of mass 3.5 kg and radius 0.4 m rolls down a ramp inclined at an angle 0.2 radians to the horizontal. what is the acceleration of the rolling sphere in m/s^2.

1.4 m/s²

Explanation:

m = mass of the uniform sphere = 3.5 kg

r = radius of the sphere = 0.4 m

θ = angle of the incline = 0.2 rad = 11.5 deg

g = acceleration due to gravity = 9.8 m/s²

a = acceleration of the rolling sphere

acceleration of the rolling sphere is given as

a = g Sinθ

Inserting the values

a = (9.8) Sin11.5

a = 1.4 m/s²

a coal burning power plant

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