Question

A uniform 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.

Answer 1

1.4 m/s²

Step-by-step 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 =
`(5)/(7)` g Sinθ

Inserting the values

a =
`(5)/(7)` (9.8) Sin11.5

a = 1.4 m/s²