Answer:

Explanation:
As we know that the small particle is in equilibrium at an angle of 16 degree with the vertical
so here we can use force balance in vertical and horizontal direction


now from above equation we have

also by division of above two equations we have


now from above equation again




Answer:
a ) 2.368 rad/s
b) 3.617 rad/s
Explanation:
the minimum angular velocity that Prof. Stefanovic needs to spin the bucket for the water not to fall out can be determined by applying force equation in a circular path
i.e
------ equation (1)
where;


Also

since; that is the initial minimum angular velocity to keep the water in the bucket
Now; we can rewrite our equation as :

So; Given that:
The rope that is attached to the bucket is lm long and his arm is 75 cm long.
we have our radius r = 1 m + 75 cm
= ( 1 + 0.75 ) m
= 1.75 m
g = acceleration due to gravity = 9.81 m/s²
Replacing our values into equation (2) ; we have:

b) if he detaches the rope and spins the bucket by holding it with his hand ; then the radius = 0.75 m
∴

chemical energy converts into light, heat and sound energy
In order to find which rational number is between 0 and 1, let's convert them into their decimal form:

Looking at the numbers in their decimal form, we can see that the number between 0 and 1 is one-fourth, therefore the correct option is the second one.