physics vectors w/angles

posted by .

A little girl is riding a sled horizontally in the snow, the combined mass of the girl and sled is 33.4 kg. She is being pulled by her parents. Mom is pulling her with a force of 5.18 N, at an angle of 20.0 degree E of N. Dad is pulling her with a force of 11.15 N, at an angle of 33.7 degree W of N. There is a wind blowing with produces a force of 10.0 N to the east on the sled. (Use East as positive x and North as postive y)

a) What are the x and y components of the resultant force on the sled assuming the snow is frictionless?

b) What is the magnitude of the acceleration of the sled? [this one i can do if i can get a.]

c) What is the angle the acceleration of the sled makes with due North (using + for the east side and - for the west side)

  • physics vectors w/angles -

    (a) The x (East) component of the resultant force is:
    Fx = 5.18 sin 20 - 11.15 sin 33.7 + 10.0
    Add them up.
    The y (North) component is:
    Fy = 5.18 cos 20 + 11.15 cos 33.7
    (There is no wind component)
    Add them up.

    (b) Use the Pythagorean theorem.
    F = sqrt[(Fx)^2 + (Fy)^2]
    a = F/m

    (c) arctan Fx/Fy

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. PHYSICS

    a child is pulled on a sled across a snow-covered yard. the combined mass of the child and the sled is 35 kg. the angle that the rope pulling the sled makes with the horizontal is 34 degrees. the person pulling on the rope applies …
  2. physics

    A 38 kg girl and an 8.4 kg sled are on the frictionless ice of a frozen lake, 16 m apart bu connected by a rope of negligible mass. The girl exerts a horozontal 4.7 force on the rope. (a) What is the acceleration of the girl?
  3. physics

    A father pushes horizontally on his daughter's sled to move it up a snowy incline, as illustrated in the figure, with h = 3.4 m and θ = 14°. The total mass of the sled and the girl is 35 kg and the coefficient of kinetic friction …
  4. Physics

    A father pushes horizontally on his daughter's sled to move it up a snowy incline, as illustrated in the figure, with h = 3.9 m and θ = 11°. The total mass of the sled and the girl is 35 kg and the coefficient of kinetic friction …
  5. physics

    A sled is being pulled across a horizontal patch of snow. Friction is negligible. The pulling force points in the same direction as the sled's displacement, which is along the +x axis. As a result, the kinetic energy of the sled increases …
  6. physics

    A dog sled team is pulling a sled across a flat patch of snow. The total force exerted by the four dogs is 475 N (applied horizontally). The sled (with driver on it) weighs 350 kg. and the coefficient of kinetic friction between the …
  7. physics

    A girl coasts down a hill on a sled, reaching the bottom with a speed of 8.6 m/s. The coefficient of friction between the sled's runners and the snow is 0.050, and the girl and sled together weigh 670 N. How far does the sled travel …
  8. Physics

    A girl is sledding down a slope that is inclined at 30º with respect to the horizontal. The wind is aiding the motion by providing a steady force of 131 N that is parallel to the motion of the sled. The combined mass of the girl and …
  9. Physics

    A girl is sledding down a slope that is inclined at 30º with respect to the horizontal. The wind is aiding the motion by providing a steady force of 131 N that is parallel to the motion of the sled. The combined mass of the girl and …
  10. Physics

    A girl is sledding down a slope that is inclined at 30º with respect to the horizontal. The wind is aiding the motion by providing a steady force of 131 N that is parallel to the motion of the sled. The combined mass of the girl and …

More Similar Questions