2. [20+5] A slight variation of a classic. A mass, m, is released from rest, on an inclined plane, as shown: m 0 But instead of contact friction, the mass is moving through a viscous oil with a linear coefficient of friction, b. That is: F₁ = -bu (a) [5] What is the net force on the mass the instant it is released? Force is a vector, be clear about the direction of your force. (b) [5] Write down a differential equation describing the velocity as a function of time. (c) [5] Assume the plane is arbitrarily long. What is the terminal velocity of the mass? (d) [5] Solve for v(t).

2. [20+5] A slight variation of a classic. A mass, m, is released from rest, on an inclined plane, as shown: m 0 But instead of contact friction, the mass is moving through a viscous oil with a linear coefficient of friction, b. That is: F₁ = -bu (a) [5] What is the net force on the mass the instant it is released? Force is a vector, be clear about the direction of your force. (b) [5] Write down a differential equation describing the velocity as a function of time. (c) [5] Assume the plane is arbitrarily long. What is the terminal velocity of the mass? (d) [5] Solve for v(t).