# An object of mass 4 kg goes round a circle of radius 0.5 m

## Question

An object of mass 4 kg goes round a circle of radius 0.5 m in 3.142 s. What is the force towards the center? [π = 3.142]

The final answer to this question is 32 N

### Explanation

Data: Unrevealed information from the question

Mass of the object, m = 4 kg

Radius of the circle, r = 0.5 m

Time, t = 3.142 s

π = 3.142

The distance round a circle is the circumference of a circle, d = 2π

Unknown: Unrevealed information from the question

Velocity of the object, V = ?

Force towards the center (centripetal force) = ?

Formula: The equation that will help us solve the problem

Step 1: To find the velocity, we will apply the formula V = d / t

Step 2: We will use the formula F = mV2 / r

#### Solution

Step 1: We will insert our data into the formula V = d / t

V = d / t = 2π / 3.142 = (2 x 3.142) / 3.142 = 2 m/s

Step 2: We will now apply the formula F = mV2 / r to find the centripetal force

F = mV2 / r = (4 x 22) / 0.5 = 16 / 0.5 = 32 N

Therefore, the force toward the center is 32 Newtons

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## Source

University of Central Florida