Question

a 2975kg car is moving at 26m/s. It goes around a curve with a radius of 200m. Calculate its acceleration

Answer 1

When an object moves in a circle with constant speed, its motion is called uniform circular motion. Force needed to make this motion is always directed towards the center (called centripetal force) and given by,

Where,

m: mass of object

v: speed of object

r: radius of circular path

According to Newton's second law, F=ma

Where,

F: Force,

m:mass

a: acceleration

So using Newton's second law,

Centripetal acceleration,

.  

Given,

speed v= 26m/s

radius of circular path r=200 m

So, centripetal acceleration,

If you have any doubt, feel free to ask in the comments.