Use kinematic equations . . . (see attached for work)
dx = 85.7m
Answer:
(a) ωM=ωA
(b) vA = (0.625)vM
Explanation:
The tangential velocity of the body is calculated by the following formula:
v = ω*R Formula (1)
where:
v is the tangential speed of the body in feet over second (ft/s)
ω is the angular speed in radians over second (rad/s)
R is the radius of the the body in the circular path in meters (m)
(a) What is Mary's angular speed ωM compared to that of Alex's angular speed ωA
The angular speed of Mary and Alex is determined by the angular speed of the carousel ( ωC),therefore it is the same for both:
ωM=ωC , ωA=ωC
ωM=ωA
(b) What is Mary's tangential speed vM compared to that of Alex's tangential speed vA?
Data:
RM = 8 ft : Mary radio
RA = 5 ft : Alex radio
We apply the formula (1)
v = ω*R
vM = ωC *8 : Mary's tangential speed
vA = ωC *5 : Alex's tangential speed
We establish the relationship between vA and vM like this:
vA/vM = (ωC*5) / (ωC*8)
We cancel ωC
vA = (5/8)vM
vA = (0.625)vM
answer hope this helps and have a great day!!
Explain or message me what your trying to ask!
Answer:
c. Both forces have equal magnitudes.
Explanation:
According to Newton´s 3rd Law, the force exerted by a body on another one , is equal and opposite to the one that the second object exerts on the first one.
This does not depend on the masses of the objects, so it doesn´t matter that m₁ be greater than m₂.
As examples of this, we can mention the gravity force, the electrostatic force, the normal force, etc.
So, in this case, taking into account only the magnitudes, we can say:
F₁₂ = F₂₁