A child with a mass of 83 kg is on top of a water slide that is 12 m long and inclined 30 degrees with the horizontal. How fast is the child going at the bottom of the slide (a) if the slide is frictionless? (b) if the coefficient of friction is 0.30?

  1. 👍
  2. 👎
  3. 👁
  1. a. h = 12*s1n30 = 6 m.

    V^2 = Vo + 2g*h = 0 + 19.6*6 = 117.6
    V = 10.84 m/s.

    b. m*g=83kg * 9.8N/kg = 813.4 N.=Wt. of
    the child.

    Fn = mg*cos30 = 813.4*cos30 = 704.4 N. = Normal = Force perpendicular to the

    Fk = u*Fn = 0.30 * 704.4 = 211.3 N. =
    Force of kinetic friction.

    PEmax = mg*h-Fk*L = 813.4*6-211.3*12 =
    2344.5 Joules.

    KE + PE = 2344.5
    KE + 0 = 2344.5 At bottom of slide.
    KE = 0.5m*V^2 = 2344.5
    41.5V^2 = 2344.5
    V^2 = 56.5
    V = 7.52 m/s.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    A child of mass 20.2 kg takes a ride on an irregularly curved slide of height 6.12 m. The child starts from rest at the top. The acceleration of gravity is 9.8 m/s2 . If a frictional force acts on the child, what is the magnitude

  2. physics

    A child, starting from rest at the top of a playground slide, reaches a speed of 7.0 meters per second at the bottom of the slide. What is the vertical height of the slide? [Neglect friction.]

  3. Physics

    A 25 kg child slides down a playground slide at a constant speed. The slide has a height of 3.0 m and is 7.0 m long. Using energy considerations, find the magnitude of the kinetic friction force acting on the child.

  4. Physics

    A water slide is constructed so that swimmers, starting from rest at the top of the slide, leave the end of the slide traveling horizontally. One person hits the water 5.00 m from the end of the slide in a time of 1.000 s after

  1. physics

    The question is a child slides down a slide with a 28 degree incline and at the bottom her speed is precisely half what it would have been if the slide had been frictionless. Calculate the coefficient of the kinetic friction

  2. physics

    A water slide is constructed so that swimmers, starting from rest at the top of the slide leave the end of the slide traveling horizontally. There is still a height between the surface of the water and the end of the slide. One

  3. Physics(Please help, thank you)

    1) A student, starting from rest, slides down a water slide. On the way down, a kinetic frictional force (a nonconservative force) acts on her. The student has a mass of 71 kg, and the height of the water slide is 12.0 m. If the

  4. Physics

    A 18 kg child slides down a 4.0 m-high playground slide. She starts from rest, and her speed at the bottom is 2.8 m/s. What is the change in the thermal energy of the slide and the seat of her pants?

  1. physics

    Children slide down a frictionless water slide that ends at a height of 1.80 m above the pool. If a child starts from rest at point A and lands in the water at point B, a horizontal distance L = 2.46 m from the base of the slide,

  2. Physics AP

    A 32 kg child goes down a straight slide inclined 38∘ above horizontal. The child is acted on by his weight, the normal force from the slide, and kinetic friction. How large is the normal force of the slide on the child?

  3. physics

    Starting from rest at the top, a child slides down the water slide at a swimming pool and enters the water at a final speed of 4.00 m/s. At what final speed would the child enter the water if the water slide were twice as high?

  4. college physics

    A 30.3-kg child starting from rest slides down a water slide with a vertical height of 10.5 m. (Neglect friction.) (a) What is the child's speed halfway down the slide's vertical distance?

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