Answer: 
Explanation:
The <u>centripetal acceleration</u> 
of an object moving in a uniform circular path is given by the following equation:
(1)
Where:
is the tangential velocity
is the radius of the circle
On the other hand, the tangential velocity is expressed as:
(2)
Where 
is the angular velocity, which can be found knowing the child makes 5 revolutions in 13.4s:
(3)
Substituting (3) in (2):
(4)
(5)
Substituting (5) in (1):
(6)
Finally:
It has 50kg with a velocity of 1 m/s times the speed of the cart divided by 2 and multiplied by kinectic x plus 5
Answer:
m = 63.7 kg
Explanation:
As we know that when mass connected to the bungee cord stretch the string then the gravitational potential energy of the person will convert into potential energy of the string at the end
now here we know that when person jump from the top and reach at the end then loss in gravitational potential energy is given as
now when it is at the end of the motion stretch in the string will be
now potential energy of string is given as
now by energy conservation we have
It passes through C the Electron Cloud
Answer:
(a) 4.38 s.
(b) 1.817 s
Explanation:
(a)
Using
θ = ω₀t +1/2αt² ................ Equation 1
Where θ = number of revolution, t = time, α = angular acceleration, ω₀ = angular velocity.
Given: θ = 1.59 rev = 1.59×2π = 9.992 rad, ω₀ = 0 rad/s, α = 1.04 rad/s².
Substitute into equation 1
9.992 = 0(t) + 1/2(1.04)(t²)
t² = (2×9.992)/1.04
t² = 19.984/1.04
t = √(19.215)
t =4.38 s.
(b)
also using
θ = ω₀t +1/2αt²............... Equation 1
Given: θ =3.18 rev = 3.18×2π = 19.97 rad, ω₀ = 0 rad/s, α = 1.04 rad/s².
Substitute into equation 1
19.97 = 0(t) + 1/2(1.04)(t²)
t² = 19.97×2/1.04
t = √(38.40)
t = 6.197 s
The time require = 6.197-4.38 = 1.817 s
