So-called volcanic 'ash' is actually finely pulverized rock blown high into the atmosphere. A typical ash particle is a 50-micrometer-diameter piece of silica with a density of 2400 kg/m^3. (a) How long would it take this ash particle to fall from a height of 5.0 km in vacuum?

A 1.0-cm-diameter, 2.0 g marble is shot horizontally into a tank of 20°C olive oil at 10 cm/s. How far in cm will it travel before stopping?

b. A 4.0-cm-diameter, 55 g ball is shot horizontally into a tank of 40°C honey. How long will it take for the horizontal speed to decrease to 10% of its initial value?

a. A spherical particle of mass m is shot horizontally with initial speed v₀ into a viscous fluid. Use Stokes' law to find an expression for vₓ (t), the horizontal velocity as a function of time. Vertical motion due to gravity can be ignored.

A medium-sized jet has a 3.8-m-diameter fuselage and a loaded mass of 85,000 kg. The drag on an airplane is primarily due to the cylindrical fuselage, and aerodynamic shaping gives it a drag coefficient of 0.37. How much thrust must the jet's engines provide to cruise at 230 m/s at an altitude where the air density is 1.0 kg/m^3

(b) Below what speed does a 3.0-mm-diameter ball bearing in 20°C air experience linear drag?

(a) Above what speed does a 3.0-mm-diameter ball bearing in 20°C water experience quadratic drag?

A ball is shot from a compressed-air gun at twice its terminal speed.a. What is the ball's initial acceleration, as a multiple of g, if it is shot straight up?

A 10 kg crate is placed on a horizontal conveyor belt. The materials are such that mu(s) = 0.5 and mu(k) = 0.3. (b) Draw a free-body diagram showing all the forces on the crate if the conveyer belt is speeding up.