Newton's second law allows us to find the results for the questions about the forces in the motion of the ball are:
a) The cable tension is: T = 1955 N
b) The force to stop the ball is: F = 5520 N
Newton's second law gives a relationship between force, mass and acceleration of bodies.
F = ma
The bold letters indicate vectors, F is the force, m the mass and the acceleration of the body.
The ball is oscillating therefore its movement is circular, in the lower part of the trajectory the centripetal acceleration is:
[tex]a = \frac{v^2}{r}[/tex]
a) A free body diagram is a diagram of the forces without the details of the body, in the attachment we can see a free body diagram of the system.
T - W = ma
T = W + ma
We substitute.
T = m (g + v ^ 2 / r)
Let's calculate.
T = 115 (9.8 + 12 ^ 2/20)
T = 1955 N
b) To find the average force, let's find the average acceleration to stop with kinematics.
v² = v₀² - 2 a x
When the ball moves, its velocity is zero.
[tex]a = \frac{v_o^2 }{2x}[/tex]
Let's calculate.
[tex]a = \frac{12^2}{ 2 \ 1.5 }[/tex]
a = 48 m /s²
We substitute in Newton's second law.
F = m a
F = 115 48
F = 5520 N
In conclusion using Newton's second law we can find the results for the questions about the forces in the motion of the ball are:
a) The cable tension is: T = 1955 N
b) The force to stop the ball is: F = 5520 N
Learn more about Newton's second law here: brainly.com/question/8898885
