Two cars are traveling at the same speed of 27 m/s on a curve thathas a radius of 120 m. car a has a mass of 1100 kg and car b has amass of 1600 kg. find the centripetal acceleration and thecentripetal force for each car.

 m/s²

 m/s²

Explanation:

Normal or centripetal acceleration measures change in speed direction over time. Its expression is given by:

 Formula 1

Where:

: Is the normal or centripetal acceleration of the body  ( m/s²)

v: It is the magnitude of the tangential velocity of the body at the given point

.(m/s)

r: It is the radius of curvature. (m)

Newton's second law:

∑F = m*a Formula ( 2)

∑F : algebraic sum of the forces in Newton (N)

m : mass in kilograms (kg)

Data

r= 120 m

Problem development

We replace data in formula (1) to calculate centripetal acceleration:

 m/s²

 m/s²

We replace data in formula (2) to calculate  centripetal  force Fc) :