## 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]

## Answer

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 = mV^{2} / 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 = mV^{2} / r to find the centripetal force

F = mV^{2} / r = (4 x 2^{2}) / 0.5 = 16 / 0.5 = 32 N

**Therefore, the force toward the center is 32 Newtons**

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