an old building is being demolished by swinging a heavy metal ball from a crane. suppose that the ball swings from a 20 -m-long wire at speed as the wire passes the vertical orientation. (a) what tension force must the wire be able to withstand in order not to break? (b) assume the ball stops after sinking into the wall of the building. what was the average force that the ball exerted on the wall? indicate any assumptions you made for each part of the problem.

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martinezalyaniz martinezalyaniz · Answer 1 · 2022-11-22T02:14:53+01:00

Answer:

Explanation:

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:

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.

Let's calculate.

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

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