Answer:
0.181
Explanation:
We can convert the 0.5 rps into standard angular velocity unit rad/s knowing that each revolution is 2π:
ω = 0.5 rps = 0.5*2π = 3.14 rad/s
From here we can calculate the centripetal acceleration
Using Newton 2nd law we can calculate the centripetal force that pressing on the rider, as well as the reactive normal force:
Also the friction force and friction acceleration
For the rider to not slide down, friction acceleration must win over gravitational acceleration g = 9.81 m/s2:
Answer:

Explanation:
power through string can be determined as shown in figure

Where
P = 57.3 W
V = 13.87 m/s
H = 567 g/m
we know that


therefore 


Well the diagram would look like the water cycle I think
Answer:
The velocity is
.
Explanation:
Given that,
Charge density of the plane 
Distance = 1.05 mm
We need to calculate the electric field due to plane of charge
Using formula of electric field

Put the value into the formula


We need to calculate potential difference
Using formula of potential difference

Put the value into the formula


We need to calculate the work requires to be done to reach the surface of the plane
Using formula of work done

Put the value into the formula


We need to calculate the velocity
Using work energy theorem




Hence, The velocity is
.