Answer:
The string will break with a speed of 20 m/s.
Explanation:
It is given that,
Tension at which the string just breaks, T = 400 N
Mass of the stone, m = 10 kg
Radius of the circle, r = 10 m
We need to find the speed at which the string will break. The boy continuously increases the speed of the stone. The tension acting on the stone is equal to the centripetal force. It is a force that acts towards the center of circle. It is given by :
v = 20 m/s
So, the string will break with a speed of 20 m/s. Hence, this is the required solution.
Answer:
The volume of a cylindrical conduit,
where is the inner radius,
is the outer radius, h is the length.
First of all, we would covert each parameter into centimeters.
length of the conduit,
outer radius,
inner radius,
Insert the values in the volume formula,
Hence, the volume of metal in the conduit is 510. 12 cubic centimeters.
Explanation:
We start by using the conservation law of energy:
or
Simplifying the above equation, we get
We can rewrite this as
Note that the expression inside the parenthesis is simply the acceleration due to gravity so we can write
where is the launch velocity.