A866 kg car is traveling at 16.7 m/s around a banked curve with a radius
of 50 m. at what angle would the car have to be banked so that no
friction is required?

Explanation:

The expression to calculate the angle of an ideally banked curve in which friciton is not needed is:

Where:

is the car's velocity

is the radius of the curve

is the acceleration due gravity

As you may see, this angle does not depend on the mass of the car.

Solving with the given values:

Finally:

where are the vectors ?

the chart show the masses and velocities of two colliding objects that stick together after a collision.

according to the law of conservation of momentum, the momentum of the object after the collision is  

answer

1,500

kg • m/s.