Question

At what new speed vtruck 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.

Answer 1

The new speed of the truck, vtruck, can be found using the equation vtruck = v * √(mcar/mtruck), where v is the original speed of the car.

Step-by-step explanation:

In this scenario, we have a truck and a car moving at different speeds. The net centripetal force acting on the car is equal to the necessary centripetal force, which is given by:

F_car = m * v2/r

Where m is the mass of the car, v is its speed, and r is the radius of the curved path it is moving on.

If we want to find the new speed vtruck at which the net centripetal force acting on the truck equals the net force on the car, we can equate the two equations:

m * v2/r = m * vtruck2/r

By rearranging the equation, we find that:

vtruck = v * √(mcar/mtruck)

So, the new speed of the truck is given by vtruck = v * √(mcar/mtruck), where v is the original speed of the car.