Question

How much force is required to swing a 3 kg mass in a circle with a radius of 1.5 m at
a speed of 5 m/s?
F =ma.

Answer 1

The force is required to swing the mass in a circular path with the given radius and speed is 50 Newtons.

Given the data in the question;

• Mass; $m = 3kg$

• Radius; $r = 1.5m$

• Speed; $v = 5m/s$

Force; $F =\ ?$

From the Newton's second law of motion:

$F = ma$

Where F is force applied, m is mass and a is acceleration

Now force a circular motion Centripetal Acceleration is expressed as:

$a_c = \frac{v^2}{r}$

Hence,  force is required to swing the mass in a circular path will be:

$F = m * a_c\\\\F = m * \frac{v^2}{r}$

We substitute our given values into the equation;

$F = 3kg * \frac{(5m/s)^2}{1.5m}\\\\F = 3kg * \frac{25m^2/s^2}{1.5m}\\\\F = 50 kgm/s^2\\\\F = 50N$

Therefore, force is required to swing the mass in a circular path with the given radius and speed is 50 Newtons.

Learn more: https://brainly.com/question/11577137