Physics

A 20 kg box approaches the foot of a 30 degree inclined plane with a speed of 10 m/s. the coefficient of friction between the box and the inclined plane is 0.2. (a) How far up the inclined plane will the box go? (b) If the box slides back down the inclined plane, what is its speed at the bottom of the plane?

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
  1. Nice question!

    Use energy.
    KE=PE+W
    Let x=distance up the slope
    (1/2)mv²=mg(sin(&theta))+μmg(cos(&theta))x
    Solving for x:
    x=(v²/((2g(sin(θ)+μcos(&theta))

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  2. a. Wb = m*g = 20kg * 9.8N/kg = 196 N. = Wt. of box.

    Fp = 196*sin30 = 98 N.=Force parallel
    to the incline.

    Fn = 196*cos30 = 169.7 N. = Normal or
    Force perpendicular to the incline.

    Fk = u*Fn = 0.2 * 169.7 = 33.95 N. = Force of kinetic friction.

    a = (Fp-Fk)/m = (98-33.95)/20=3.20 m/s^2

    V^2 = Vo^2 - 2a*d
    d=(V^2-Vo^2)/-2a = (0-100)/-6.4=15.625 m

    b. V^2 = Vo^2 + 2a*d
    V^2 = 0 + 6.4*15.625 = 100
    V = 10 m/s.

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    A box of mass m with an initial velocity of v0 slides down a plane, inclined at theta with respect to the horizontal. The coefficient of kinetic friction is u. The box stops after sliding a distance x. How far does the box slide?

  2. physics

    Three applied forces, F1= 20.0 N, F2= 40.0 N, and F3 = 10.0 N act on an object with a mass of 2.00 kg which can move along an inclined plane as shown in the figure. The questions refer to the instant when the object has moved

  3. Physics

    a 30 kg box is placed on a 40 degree inclined plane the coefficient of friction is 0.2 at what rate does the box accelerate down the incline

  4. Physics

    A box sliding down a frictionless plane inclined at an angle 35 degrees with the horizontal. What is the acceleration of the box?

  1. physics

    a box is sliding down a frictionless plane inclined at an angle of 30 degrees with the horizontal. what is the acceleration of the box?

  2. Physics 101

    A 25 kg box rests on an inclined plane which is 30o to the horizontal. The coefficient of sliding friction between the box and the plane is 0.30. Determine the acceleration of the box down the plane. (9.8 m/s2)

  3. Physics

    A box weighing 215 N is placed on an inclined plane that makes a 55 degree angle with the horizontal. Compute the component of the gravitional force acting down the inclined plane.

  4. Science

    A box of mass 50kg is placed on an inclined plane. When the angle of the plane is increased to 30°, the box begins to slide downward. Calculate the coefficient of statics friction b/w the plane and box . Draw the free body

  1. Physics

    a 215-N box is placed on an inclined plane that makes a 35.0 degree angle with the horizontel. Find the component of the weight force parallel to the plane's surface. can someone explain how to find the answer to this problem?

  2. physics

    A box slides down a plane 8 m long that is inclined at an angle of 30 degrees with the horizontal. If the box starts from rest and u = 0.25, find a.) the acceleration of the box, b.) it's velocity at the bottom of the plane, and

  3. PHYSICS - PLEASE HELP

    A box of weight w=2.0 N accelerates down a rough plane that is inclined at an angle 30 degrees above the horizontal. The normal force acting on the box has a magnitude n= 1.7 N, the coefficient of kinetic friction between the box

  4. Physics

    You place a box weighing 242.4 N on an inclined plane that makes a 37.2◦ angle with the horizontal. Compute the component of the gravitational force acting down the inclined plane. Answer in units of N. Please

View more similar questions or ask a new question.