Let r be the distance between the cylinder and the center of the turntable. now assume that the cylinder is moved to a new location r/2 from the center of the turntable. which of the following statements accurately describe the motion of the cylinder at the new location?
check all that apply.
a. the speed of the cylinder has decreased.
b. the speed of the cylinder has increased.
c. the magnitude of the acceleration of the cylinder has decreased.
d. the magnitude of the acceleration of the cylinder has increased.
e. the speed and acceleration of the cylinder have not changed.

a. The speed of the cylinder has decreased.

c. The magnitude of the acceleration of the cylinder has decreased.

Explanation:

Lets take angular speed of the turn table = ω

Linear speed at distance r from center of turn table

V=  ω r

The linear speed of the cylinder at distance R

r=R

V= ω R

When the distance become R/2 ,then new linear speed

r=R/2

V'= ω R/2

V'= ω R/2 = V/2

V'=V/2

Therefore speed of the cylinder is decreases.

The radial acceleration a

a= ω² r

When r decrease then the magnitude of the cylinder will decreases.

Therefore option a and c is correct.

the moon affects the earth gravitation ally, causing certain motions of that body and also producing tides in its ocean and atmosphere. the tidal wave in our atmosphere is, however, far too minute to be an effective cause in any known meteorological phenomenon.

explanation:

when jerome paddle in flowing river towards east the net speed of jerome will increase

so the net speed of jerome will be given as

now the speed of paul will be same as it is given as he is running on the ground

so

so here we can say since the speed of jerome is more so he will win the race

now as we know the distance so the time difference is given as

so jerome will reach first and the time difference will be 203.55 s or 3.4 min