A car of mass 1979 kg drives over a semicircular hilltop of radius 12.6 m and through a semicircular valley of radius 17.2 m with a constant velocity of 7.28 m/s.

What is the normal force on the car at the bottom of the valley?

would i use the equation mv^2/r +mg ?

at the bottom? Force= mg+mv^2/r

yes, use that equation

Yes, you would use the equation mv^2/r + mg to find the normal force on the car at the bottom of the valley.

The first term, mv^2/r, represents the centripetal force acting on the car as it moves in a circular path. Here, m is the mass of the car, v is the velocity of the car, and r is the radius of curvature of the path.

The second term, mg, represents the force due to gravity acting on the car. Here, m is the mass of the car, and g is the acceleration due to gravity (approximately 9.8 m/s^2).

To find the normal force, you need to equate these two forces.

mv^2/r + mg = N

Where N represents the normal force.

Substituting the given values:
m = 1979 kg
v = 7.28 m/s
r = 17.2 m

You can calculate the normal force by plugging in these values into the equation.

Yes, you can use the equation mv^2/r + mg to determine the normal force on the car at the bottom of the valley. This equation is based on the concept of centripetal force, which is the net force acting on an object moving in a circular path.

To calculate the normal force, you need to consider two forces: the centrifugal force (mv^2/r) and the force due to gravity (mg). The sum of these two forces should equal the normal force at the bottom of the valley.

Let's break down the equation and calculate the normal force:

1. Centrifugal force (mv^2/r):
The mass of the car is given as 1979 kg, and the velocity is 7.28 m/s. The radius of the valley is 17.2 m. Plugging in these values, we get:
Centrifugal force = (1979 kg) × (7.28 m/s)^2 / 17.2 m

2. Force due to gravity (mg):
The mass of the car is 1979 kg. The force due to gravity is given by:
Force due to gravity = (1979 kg) × (9.8 m/s^2) (acceleration due to gravity)

3. Normal force:
The normal force is equal to the sum of the centrifugal force and force due to gravity:
Normal force = Centrifugal force + Force due to gravity

By calculating these values and summing them up, you will find the normal force on the car at the bottom of the valley.