Question

A ball is attached to one end of a string such that the ball travels in a vertical circular path near Earth's surface. The force diagram
of the ball at its lowest point in the circular path is shown above. What is the net centripetal force exerted on the ball?
A) 10N
B) 15 N
C
25 N
D
35 N

Answer 1

Complete Question

The complete question is shown on the first uploaded image

Answer:

The value is  $F_{centripetal} = 15 \ N$

Explanation:

From the diagram we see that

 The tension force on the ball is  $F_{Tension} = 25 \ N$

  The gravitational force on the ball is  $F_{Gravity } = 10 \ N$

Generally the net centripetal force exerted on the ball is mathematically represented as

        $F_{centripetal} = F_{Tension} - F_{Gravity}$

=>     $F_{centripetal} = 25 - 10$

=>     $F_{centripetal} = 15 \ N$

Answer 2

The net centripetal force exerted on the ball is 15 Newton.

Hence, Option B) 15N is the correct answer.

Given the data in the question;

• Tension force on the ball; $F_{Tension} = 25N$

• Gravitational force on the ball; $F_{Gravity} = 10N$

Net centripetal force exerted on the ball; $F_{centripetal} = \ ?$

From the diagram below, net force acting on the ball gives rise to centripetal force. Hence

$F{net} = F_1 + f_2 = F_{centripetal}$

Now, from the diagram, force acting towards the center of the circular track is is positive while force directly pointing away from center is negative.

Hence

$F{net} = F_1 + f_2 = F_{centripetal} = F_{Tension} - F_{Gravity}$

We substitute in our given values

$F_{centripetal} = 25N - 10N\\\\ F_{centripetal} = 15N$

The net centripetal force exerted on the ball is 15 Newton.

Hence, Option B) 15N is the correct answer.

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