Let us say that v is the
tangential velocity of the object, a to be the centripetal (which acts towards
the center of the circle) acceleration and F as the centripetal force, r to be
the radius of the circle and m is mass of the child. <span>
a = v^2 / r
F = ma = mv^2/r
Applying the given values to the equation:
F=30*(5^2/5) => 30*(25/5) => 30*5 => 150 Newtons</span>
Now work is Force times
distance, the distance is simply the circumference of the circle.
d = C = 2 * pi * r = 2 *
pi * 5 = 10π m
W = F * d = 150 N * 10π
m
<span>W = 1500π J = 4712.39 J</span>
Completing the square gives the answer right away.
which indicates a maximum height of 87 when 
.
Answer:
F = 1.2 10⁵ N
Explanation:
Force is defined by
P = F / A
F = P A
The area is
A = π r²
the radius is half the diameter
r = d / 2
A = π d²/4
we substitute
F = P π d²/4
let's calculate
F = 145 10⁶ π (3.25 10⁻²)²/4
F = 1.2 10⁵ N
