A 0.50-kg ball is attached to a string of 0.50 m and swung in a horizontal circle with a velocity of 1.0 m/s. Find the centripetal force of the ball.

ac=1.0^2/0.5
=2
2(.50)
= 1.0 N

Correct.

a = V^2/R = 2 m/s^2 and
F = Ma = 1.0 N

To find the centripetal force of the ball, you can use the equation:

F = m * ac

where F is the centripetal force, m is the mass of the ball, and ac is the centripetal acceleration.

Given:
Mass of the ball (m) = 0.50 kg
Centripetal acceleration (ac) = 1.0 m/s²

Substituting the values into the equation:

F = 0.50 kg * 1.0 m/s²
F = 0.50 N

Therefore, the centripetal force of the ball is 0.50 N.

To find the centripetal force of the ball, you need to use the formula:

F = m * ac

Where:
F is the centripetal force,
m is the mass of the ball, and
ac is the centripetal acceleration.

Given:
m = 0.50 kg (mass of the ball),
v = 1.0 m/s (velocity of the ball), and
r = 0.50 m (radius of the circle),

First, you need to determine the centripetal acceleration (ac) using the formula:

ac = v^2 / r

Substitute the given values into the formula:

ac = (1.0 m/s)^2 / 0.50 m
ac = 1.0 m^2/s^2 / 0.50 m
ac = 2.0 m/s^2

Now, you can calculate the centripetal force (F) using the formula:

F = m * ac

Substitute the given values into the formula:

F = (0.50 kg) * (2.0 m/s^2)
F = 1.0 N

Therefore, the centripetal force acting on the ball is 1.0 N.