A 40 kg slab rests on a friction less floor.a 10 kg block rests on top of the slab.the coefficient kinetic friction between the block and the slab is 0.40.a horizontal force of 100N is applied on the 10 kg block.find the resulting acceleration of the slab.

  1. 👍 12
  2. 👎 8
  3. 👁 5,337
  1. m*g = 10kg * 9.8N/kg = 98 N. = Wt. of the block.

    Fk = u*mg = 0.40 * 98 = 39.2 N. = Force
    of kinetic friction.

    a = Fk/Ms = 39.2/40 = 0.98 m/s^2.

    1. 👍 19
    2. 👎 34
  2. Normal reaction from 40 kg slab on 10 kg block = 10 * 9.81 = 98.1 N
    Static frictional force = 98.1 * 0.6 N is less than 100 N applied
    => 10 kg blck will slide on 40 kg slab and net force on it
    = 100 N - kinetic friction
    = 100 - 98.1 * 0.4 = 61 N
    => 10 kg block will slide on 40 kg slab with 61/10 = 6.1 m/s

    Frictional force on 40 kg slab by 10 kg block = 98.1 * 0.4 = 39 N
    => 40 kg slab will move with
    39/40 m/s²
    = 0.98 m/s²

    1. 👍 18
    2. 👎 29
  3. Remember shortcut.... In this kind of case... Acceleration=(coefficient of friction*m1*g)/m2.....
    So. a=(.4*10*10)/40=1m/s²

    1. 👍 23
    2. 👎 12
  4. Given m =10 kg
    And we have F = Uķmg
    =0.40×10 ×10
    And, F= ma
    a=F/m= 40/40= 1 m/s^2

    1. 👍 18
    2. 👎 8
  5. Bad worst

    1. 👍 4
    2. 👎 5
  6. mass of block = 10Kg
    F = (coefficient of friction)* mg
    By F = ma
    a = F/m = 40/40 = 1 m/s^2

    1. 👍 1
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Science

    A 20 kg block rests on a rough horizontal table. A rope is attached to the block and is pulled with a force of 80 N to the left. As a result, the block accelerates at 2.5 m/s2. The coefficient of kinetic friction μk between the

  2. physics

    A 1.5-kg block rests on top of a 7.5kg block. The cord and pulley have negligible mass, and there is no significant friction anywhere. Part a) What force F must be applied to the bottom block so the top block accelerates to the

  3. Physics

    A block of mass m = 2.00 kg rests on the left edge of a block of mass M = 8.00 kg. The coefficient of kinetic friction between the two blocks is 0.300, and the surface on which the 8.00- kg block rests is frictionless. A constant

  4. physics

    A 4.170 kg block of wood rests on a steel desk. The coefficient of static friction between the block and the desk is μs = 0.505 and the coefficient of kinetic friction is μk = 0.255. At time t = 0, a force F = 12.7 N is applied

  1. Static Friction..I really Have no Idea

    A 0.40 kg block rests on a desk. The coefficient of static friction is 0.20. You push the side of the block but do not have a spring scale to measure the force you use. The block does not move. Which statement is true about the

  2. Physics

    1. A block of mass 57.1 kg rests on a slope having an angle of elevation of 28.3°. If pushing downhill on the block with a force just exceeding 162 N and parallel to the slope is sufficient to cause the block to start moving,

  3. Physics

    A block with mass M rests on a frictionless surface and is connected to a horizontal spring of force constant k, the other end of which is attached to a wall. A second block with mass m rests on top of the first block. The

  4. physics please please please please please

    a block of mass 2.50 kg rests on a ramp. if the coefficient of static friction between the block and ramp is 0.350, what maximum angle can the ramp make with the horizontal before the block starts to slip down?

  1. Physics

    A 5.00-kg block is placed on top of a 10.0-kg block which rests on a horizontal surface. The 5.00-kg block is tied to a wall with a horizontal string. A 45.0-N horizontal force directed away from the wall is then exerted on the

  2. physics

    Block A, with a mass of 50 kg, rests on a horizontal table top. The coefficient of static friction is 0.40. A horizontal string is attached to A and passes over a massless, ideal pulley as shown. What is the smallest mass of Block

  3. physics

    figure 3.1 shows a rectangular concrete slab of weight 18000N. It rests on a brick wall and is the roof of a bus shelter. The concrete slab is 3.0 m wide. The wall is 2.5 m from the front of the concrete slab and 0.50 m from the

  4. physics

    a 2kg block of wood rests on a long table top. a 5 gram bullet moving horizontally with speed of 150m/s is shoot into the block and stricks in it then block slides 270cm along the table and stops. find a)speed of block after

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