The equation for centripetal force can be derived by substituting the equation for centripetal acceleration into Newton’s second law.


Please select the best answer from the choices provided

T
F

Answers

Answer 1

Answer:

True.

Explanation:

Newton's Second Law of Motion states that the acceleration of a physical object is directly proportional to the net force acting on the physical object and inversely proportional to its mass.

Mathematically, it is given by the formula;

Force = mass * acceleration

[tex] F = ma[/tex]

Centripetal acceleration is given by the formula;

[tex] Acceleration, a = \frac {v^{2}}{r}[/tex]

Where;

v is the velocity.

r is the radius.

The equation for centripetal force can be derived by substituting the equation for centripetal acceleration into Newton’s second law.

Let centripetal force be Fc

Fc = ma

Substituting the value of "a" into the above formula;

[tex] Fc = m \frac {v^{2}}{r} [/tex]

[tex] Fc = \frac {mv^{2}}{r} [/tex]


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1. A Zambeef delivery track travels 18 km north, 10 km east, and 16 km south. What is its final displacement from the origin?

Answers

Answer:

10.2 km

Explanation:

Displacement is the shortest distance from your original position after movement.

Now, the Zambeef delivery truck moves 18 km north and then 10 km east and then 16 km south.

This means that vertically the truck is 2km short of the 18 km he travelled north..

So we can find the displacement using pythagoras theorem..

Let d be the distance from the current position to the initial position.

Thus;

d² = 2² + 10²

d² = 4 + 100

d = √104

d ≈ 10.2 km

I have attached a diagram showing the direction of this displacement

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Answer:

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Answer:

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