Physics

A person, sunbathing on a warm day, is lying horizontally on the deck of a boat. Her mass is 59.6 kg, and the coefficient of static friction between the deck and her is 0.696. Assume that she is moving horizontally, and that the static frictional force is the only force acting on her in this direction. (a) What is the magnitude of the static frictional force when the boat moves with a constant velocity of +5.36 m/s? (b) The boat speeds up with an acceleration of 1.41 m/s2, and she does not slip with respect to the deck. What is the magnitude of the static frictional force that acts on her? (c) What is the magnitude of the maximum acceleration the boat can have before she begins to slip relative to the deck?

asked by Sadie
  1. a) zero, not accelerating

    b) F = m a
    = 59.6(1.41)

    c) F = m g mu = m a
    a = mu g
    a = .696 * 9.81
    = 6.83 m/s^2

    posted by Damon

Respond to this Question

First Name

Your Answer

Similar Questions

  1. Physics - Friction

    **Especially part a) A person, sunbathing on a warm day, is lying horizontally on the deck of a boat. Her mass is 54.6 kg, and the coefficient of static friction between the deck and her is 0.683. Assume that she is moving
  2. Physics

    A 570 kg truck is carrying a large 1.9 kg box on its cargo deck when it starts to accelerate. If the coefficient of static friction between the box and the truck’s deck is 0.26, what is the maximum acceleration, in m/s 2, that
  3. Physics

    A block of mass 35kg is on a flat floor with a static friction coefficient of 0.36 and a kinetic friction coefficient of 0.29. A person attempts to slide the box from rest in a forward direction . Find the maximum frictional force
  4. Physics 11

    Two people start running from rest. The first person has a mass of 59 kg and is wearing dress shoes with a coefficient of static friction of 0.52. The other person is wearing running shoes with a coefficient of static friction of
  5. physics

    a sled mass of 50kg is pulled horizontally over flat ground. the static friction coefficient is .30, and the sliding friction coefficient is .10. what minimum amount of force must be applied to the sled in order to start it
  6. algebra

    Jeremy is building a deck for the community center. The deck is shaped as rectangle. The width of the deck is 29ft. The perimeter of the deck is to be at least 134ft. Write an inequality that represents all possible values of the
  7. Physics

    A trash can with a mass of 5 kg has a coefficient of static friction of μs = 0.80 and a coefficient of kinetic friction of μk = 0.22. (The Active Figure applies to a similar situation, but the values of the mass,
  8. Physics

    4.82 kJ work is done by a worker pulling a crate across the deck of a ship at a constant speed of 7.82 m/s by a 453 N force. The rope is being pulled at a 37.0 degree angle to the deck. a)How far was it pulled? b)What is the
  9. physics

    A sled whose total mass with cargo is 30.0 kg rests on ice. The coefficient of static friction is 0.20, and the coefficient of kinetic friction is 0.15. The sled is attached to a rope, horizontally, in which the tension force is
  10. @ elena

    In the figure the coefficient of static friction between mass (MA) and the table is 0.40, whereas the coefficient of kinetic friction is 0.28 ? part a) What minimum value of (MA) will keep the system from starting to move? part b)

More Similar Questions