physics

A 3.00 kg block starts from rest at the top of a 30° incline and accelerates uniformly down the incline, moving 1.94 m in 1.70 s.

(a) Find the magnitude of the acceleration of the block.
(b) Find the coefficient of kinetic friction between the block and the incline.
(c) Find the magnitude of the frictional force acting on the block.
(d) Find the speed of the block after it has slid a distance 1.94 m.

  1. 👍 0
  2. 👎 0
  3. 👁 822
  1. (a) Solve X = (1/2)a t^2 to get the acceleration, a = 1.34 m/s^2
    (b) If there were no friction, the acceleration would be g sin30 = 4.9 m/s^2. There must be an opposing friction force
    Ff = M(4.9 - 1.34)= 10.7 N
    (That answers part (c))
    The coefficient of kinetic friction is
    muk = Ff/M*g*cos30 = 0.364
    (d) The final speed of the block (after moving 1.94 m) is twice the average speed. The average speed is
    1.94/1.70 = 1.14 m/s

    1. 👍 0
    2. 👎 1

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    A small block with mass 0.200 kg is released from rest at the top of a frictionless incline. The block travels a distance 0.440 m down the incline in 2.00 s. The 0.200 kg block is replaced by a 0.400 kg block. If the 0.400 kg

  2. physics

    A small block is released from rest at the top of a frictionless incline. The distance from the top of the incline to the bottom, measured along the incline, is 3.60 m. The vertical distance from the top of the incline to the

  3. Physics

    A 3.00-kg block starts from rest at the top of a 25.5° incline and slides 2.00 m down the incline in 1.75 s. (a) Find the acceleration of the block. m/s2 (b) Find the coefficient of kinetic friction between the block and the

  4. physics

    A frictionless incline is 5.00 m long (the distance from the top of the incline to the bottom, measured along the incline). The vertical distance from the top of the incline to the bottom is 4.03 m. A small block is released from

  1. Physics

    A block of mass m = 2.00 kg is released from rest h = 0.500 m from the surface of a table, at the top of a theta = 30.0° incline. The frictionless incline is fixed on a table of height H = 2.00 m. (a) Determine the acceleration

  2. Physics

    The block shown in (Figure 1) has mass m = 7.0 kg and lies on a fixed smooth frictionless plane tilted at an angle θ = 22.0 ∘ to the horizontal. If the block starts from rest 15.2 m up the plane from its base, what will be the

  3. Physics

    A block slides down a frictionless plane having an inclination of θ = 13.2°. The block starts from rest at the top, and the length of the incline is 1.70 m. -> Find the acceleration of the block. (m/s2 down the incline) -> Find

  4. Physics

    If a frictionless incline has a difference in height from one end to the other of 19.5 cm and has a length along the incline of 1.36 m, find the time it takes for a block of 1.1 kg, starting from rest, to slide down the ramp from

  1. Physics

    A small block travels up a frictionless incline that is at an angle of 30.0° above the horizontal. The block has speed 4.21 m/s at the bottom of the incline. Assume g = 9.80 m/s2. How far up the incline (measured parallel to the

  2. cary collage

    "A 2.5-kg block slides down a 25 degree inclined plane with constant acceleration. The block starts from rest at the top. At the bottom, its velocity reaches 0.65 m/s. The length of the incline is 1.6m. a) What is the acceleration

  3. Math/Physics2

    The block has mass m=8.5 kg and lies on a fixed smooth frictionless plane tilted at an angle theta=20.0 degrees to the horizontal. Determine the acceleration of the block as it slides down the plane. If the block starts from rest

  4. Physics

    1. A car starts from rest and accelerates uniformly at 3.0 m/s2. A second car starts from rest 6.0 s later at the same point and accelerates uniformly at 5.0 m/s2. How long does it take the second car to overtake the first car? 2.

You can view more similar questions or ask a new question.