Answer:
velocity of the metal cylinder = 0.343 m/s
Explanation:
Force putting the metal cylinder is given by
F = mv²/r
But this force will balance the frictional force between the metal cylinder and the turntable
The frictional force is given by
μN = μ × mg = 0.08 × 0.2 × 9.81 = 0.15696 N
r = 0.15 m, m = 0.2 kg,
F = mv²/r = 0.2 v²/(0.15) = 1.3333 v²
1.3333 v² = 0.15696
v² = 0.117
v = 0.343 m/s
Answer:
Electric field on proton

Explanation:
Given that

We know that
Charge on proton

We know that
Force = Electric field x Charge
F= E x q



Electric field on proton

To increase it's size
Waxing is the opposite of waning, which is to decrease.
Answer:
Work done = 13605.44
Explanation:
Data provided in the question:
For elongation of 2.1 cm (0.021 m) work done by the spring is 3.0 J
The relation between Energy (U) and the elongation (s) is given as:
U =
................(1)
where,
k is the spring constant
on substituting the valeus in the above equation, we get
3.0 = 
or
k = 13605.44 N/m
now
for the elongation x = 2.1 + 4.1 = 6.2 cm = 0.062 m
using the equation 1, we have
U = 
or
U = 26.149 J
Also,
Work done = change in energy
or
W = 26.149 - 3.0 = 23.149 J
Answer:
2.1 rad/s
Explanation:
Given that,
Mass of a tether ball, m = 0.546 kg
Length of a rope, l = 4.56 m
The maximum tension the rope can withstand before breaking is 11.0 N
We need to find the maximum angular speed of the ball. Let v is the linear velocity. The maximum tension is balanced by the centripetal force acting on it. It can be given by :

Let
is the angular speed of the ball. The relation between the angular speed and angular velocity is given by :

So, the maximum angular speed of the ball is 2.1 rad/s.