Acar drives around a curve with radius 539 m at a speed of 32.0 m/s. the road is banked at 5.00°. the mass of the car is 1.40 × 10^3 kg. what is the frictional force on the car?

Africtionless piston-cylinder contains 50 l of saturated liquid r-134a. the piston has a mass and an area resulting in an applied pressure of 500 kpa on the refrigerant. the refrigerant is now heated until its temperature rises to 70∘c. calculate the work (in kj) done during this process.

What is the coefficient of kinetic friction μk between the block and the tabletop?

Suppose that f : rn → rm and that a ∈ k, where k is a connected subset of rn . suppose further that for each x ∈ k there exists a δx > 0 such that f(x) = f(y) for all y ∈ bδx (x). prove that f is constant on k; that is, f(x) = f(a) for all x ∈ k