For this case the centripetal force is given by:

Where,
m: mass of the object
v: tangential speed
r: rope radius
Substituting values in the equation we have:

Then, doing the corresponding calculations:

Answer:
The centripetal force exerted on the rope is:

Answer:
Air pollution---> smog
Water pollution---> eutrophication
Land pollution---> contaminated soil
Light pollution---> sky glow
Answer:
2.61 J
Explanation:
Since potential energy U = mgy where m = mass of object, g = acceleration due to gravity = 9.8 m/s² and y = height of object above the ground.
Now for the coffee mug, m= 0.422 kg and it is 0.63 m on a table, so it is 0.63 m above the ground. Thus, y = 0.63 m.
We compute U
U = mgy
= 0.422 kg × 9.8 m/s² × 0.63 m
= 2.605 J
≅ 2.61 J
So, the potential energy of the mug with respect to the floor is 2.61 J
Aaron's car is moving at speed of 30 m/s
His reaction time is given as 0.7 s
but when he is tired the reaction time is doubled
Now we need to find the distance covered by his car when he is tired during the time when he react to apply brakes
So here since during this time speed is given as constant so we can say that distance covered can be product of speed and time
So here we can use



So the car will move to 42 m during the time when he apply brakes