Please Help with this question

Question

A car of mass m follows a truck of mass 2m around a circular turn. Both vehicles move at speed v.

I Just need help with question B



HINT

(a)

What is the ratio of the truck's net centripetal force to the car's net centripetal force?

Ftruck

Fcar

 =  

(b)

At what new speed v_truck will the net centripetal force acting on the truck equal the net centripetal force acting on the car still moving at the original speed v? State your answer in terms of v.

v_truck = 

1√2​υ

 

 

Answer 1

Hello Jessica;

Using the formula F_c = mV²/R

For car; F_c = mV²/R

For truck F_c = 2mV_truck²/R

They are equal, so mV²/R = 2mV_truck²/R

V² = 2V_truck²

V_truck = √(0.5V²) = v/√2