Question

a car traveling on a straight road at 11 m/s goes over a hump in the road. the hump may be regarded as an arc of a circle of radius 20 m. the acceleration of gravity is 9.8 m/s 2 . what is the apparent weight of a(n) 857 n woman in the car as she rides over the hump?

Answer 1

The apparent weight of the woman in the car can be calculated using the equations related to centripetal force and acceleration due to gravity.

Step-by-step explanation:

The apparent weight of the woman in the car as she rides over the hump can be found using the equation

apparent weight = normal force - weight

The normal force can be calculated using the centripetal force formula:

centripetal force = mass * centripetal acceleration

As the car goes over the hump, it experiences a centripetal acceleration due to the curved path.

This acceleration can be calculated using:

centripetal acceleration = (velocity^2)/radius

Finally, the weight of the woman can be calculated using:

weight = mass * acceleration due to gravity

By substituting the values into the equations, you can find the apparent weight of the woman.