Answer:
The tension in the string at the top = 
The tension in the string at the top = 
Explanation:
a) at the top
----------------------(1)
Where,
is the centripetal force
is the gravitational force
force due to tension
From (1)


where
R is the radius
m is the mass
T is the time taken for one revolution
g is the acceleration due to gravity
On Substituting the values

= 70.7259N
=71N
b) at the bottom
On Substituting the values






Answer:
The current in the heater is 12.5 A
Explanation:
It is given that,
Power of electric heater, P₁ = 1400 W
Power of toaster, P₂ = 1150 W
Power of electric grill, P₃ = 1560 W
All three appliances are connected in parallel across a 112 V emf source. We need to find the current in the heater. We know that in parallel combination of resistors the current flowing in every branch of resistor divides while the voltage is same.
Electric power, 



So, the current in the heater is 12.5 A. Hence, this is the required solution.
Answer:
Force F = 69.35 N
Explanation:
given data
Ball Initial speed u = 0
Ball Final speed v = 42.1 m/s
average power generate = 2920 W
solution
Power generate is express as
P=
..............1
here W is work done and t is time
and work w = F × d
so
P=
and we know speed v =
so here
Power P = F × v
put here value and we get force
Force F =
Force F = 69.35 N
Explanation:
It is given that,
= -40 mi/h,
= -40 mi/h
The negative sign indicates that x and y are decreasing.
We have to find
. Equation for the given variables according to the Pythagoras theorem is as follows.

Now, we will differentiate each side w.r.t 't' as follows.

or, 
So, when x = 4 mi, and y = 3 mi then z = 5 mi.
As, 
= 
= 
= 52
Thus, we can conclude that the cars are approaching at a rate of 52 mi/h.