Answer:
The acceleration when the velocity is 1.0 m/s = 0.5 m/s²
The acceleration when the velocity is 2.0 m/s = 2 m/s²
The acceleration when the velocity is 3.0 m/s = 4.5 m/s²
The acceleration when the velocity is 4.0 m/s = 8 m/s²
The acceleration when the velocity is 5 m/s = 12.5 m/s²
Explanation:
Given;
radius, r = 2.0 m
different values of the velocity, 1.0 m/s, 2.0 m/s, 3.0 m/s, 4.0 m/s, 5.0 m/s
The acceleration when the velocity = 1.0 m/s
[tex]a_c = \frac{v^2}{r} = \frac{(1)^2}{2} = 0.5 \ m/s^2[/tex]
The acceleration when the velocity = 2.0 m/s
[tex]a_c = \frac{v^2}{r} = \frac{(2)^2}{2} = 2 \ m/s^2[/tex]
The acceleration when the velocity = 3.0 m/s
[tex]a_c = \frac{v^2}{r} = \frac{(3)^2}{2} = 4.5 \ m/s^2[/tex]
The acceleration when the velocity = 4.0 m/s
[tex]a_c = \frac{v^2}{r} = \frac{(4)^2}{2} = 8 \ m/s^2[/tex]
The acceleration when the velocity = 5.0 m/s
[tex]a_c = \frac{v^2}{r} = \frac{(5)^2}{2} = 12.5 \ m/s^2[/tex]