Question

A body moves in a circle of radius \( r = 5 \, \text{m} \) with a constant speed of \( v = 10 \, \text{m/s} \). What is the centripetal acceleration of the body?

• A. \( 2 \, \text{m/s}^2 \)
• B. \( 5 \, \text{m/s}^2 \)
• C. \( 10 \, \text{m/s}^2 \)
• D. \( 20 \, \text{m/s}^2 \)

Hint:

To calculate centripetal acceleration, use the formula \( a_c = \frac{v^2}{r} \), where \( v \) is the velocity and \( r \) is the radius of the circular path.

Answer 1

The Correct Option is A

We are given a body moving in a circle of radius \( r = 5 \, \text{m} \) with a constant speed of \( v = 10 \, \text{m/s} \), and we need to find the centripetal acceleration. Step 1: Recall the formula for centripetal acceleration The centripetal acceleration \( a_c \) is given by the formula: \[ a_c = \frac{v^2}{r} \] Where: - \( v \) is the speed of the body, - \( r \) is the radius of the circular path. Step 2: Substitute the known values Substitute \( v = 10 \, \text{m/s} \) and \( r = 5 \, \text{m} \) into the formula: \[ a_c = \frac{(10)^2}{5} = \frac{100}{5} = 20 \, \text{m/s}^2 \] Answer: The centripetal acceleration is \( 20 \, \text{m/s}^2 \), so the correct answer is option (4).