A particle of mass m moves along the x-axis under the action of a friction force

Question

A particle of mass m moves along the x-axis under the action of a friction force proportional to its velocity. F=-kv. at t=0. the particle is at x=0 moving in the +x direction with velocity V0 .

A) write down the equation of motion for this particle.

B) integrate the EOM to find v(t) and x(t).

C) sketch the plot of v(t) and x(t). indicate in your plot the value of v at t=0, and the limiting value as x approaches infinity.

Note: please show your work step by step

Explanation / Answer

fx = ct => acceleration at time t1, a = ct1/m .... 0 integrate the eqn 1 from 0 to t, and calculate the velocity at time t, => v (at time t) = Vox*t + (c/3m)*t^3

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.