physics

posted by .

At a picnic, there is a contest in which hoses are used to shoot water at a beach ball from three directions. As a result, three forces act on the ball, F1, F2, and F3 (see drawing). The magitudes of 1 and 2 are F1 = 55.0 newtons and F2 = 95.0 newtons. Using a scale drawing and the graphical technique determine the following such that the resultant force acting on the ball is zero.

i'm not sure how to start this problem
help pleasee

  • physics -

    Figure out the East-West forces and add them up:
    ... from F1: 40 cos(60 deg) = 20
    ... from F2: -90
    ... from F3: F3 cos(theta)
    Add them up:
    ... -70 + F3 cos(theta)
    Set it equal to zero (the ball does not move)
    ... 70 = F3 cos(theta)

    Now do the same for the North-South forces. You should get
    ... 34.641 = F3 sin(theta)

    We have two equations in two unknowns. We can solve them, first for the angle:

    34.641 / 70 = [-F3 sin(theta) ] / [F3 cos(theta) ]
    0.4949 = -tan(theta)
    Using arctangent, we find
    theta = 26.33 degrees.
    And cos(theta) = 0.896
    and sin(theta) = 0.444

    Putting these back into the first two equations:
    70 = F3 cos(theta)
    70 / 0.896 = F3 = 78.102
    And also
    34.641 = F3 sin(theta)
    34.641 / 0.444 = F3 = 78.102

  • physics -

    the answer above is for another calculation so plug in you values and derive your answer

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    A .5kg ball hangs on a string attached to the ceiling. If the string is cut what forces act on the ball as it falls?
  2. physics

    a child on a beach kicks a beach ball, giving it an initial velocity of 4.0m/s.It was sitting on the ground when given the kick. The ball lands on the beach 5.0 m away with a speed of 2.2 m/s just before it hits. the final landing …
  3. physics

    A child on a beach kicks a beach ball, giving it an initial velocity of 4.0 m/s. It was sitting on the ground when given the kick. The ball lands on the beach 5m away and closer to the ocean, with a speed of 1.6m/s just before it hits. …
  4. Physics

    At a picnic, there is a contest in which hoses are used to shoot water at a beach ball from three different directions. As a result, three forces act on the ball, F1, F2, and F3. The magnitudes of F1 and F2 are F1= 50.0 N and F2 = …
  5. Physics

    At a picnic, there is a contest in which hoses are used to shoot water at a beach ball from three different directions. As a result, three forces act on the ball, F1, F2, and F3. The magnitudes of F1 and F2 are F1= 50.0 N and F2 = …
  6. Math

    Jack is going to fill his beach ball with water. The radius of the ball is 24in. How much water will it take to fill the beach ball?
  7. Math

    Jack is going to fill his beach ball with water. The radius of the ball is 24in. How much water will it take to fill the beach ball?
  8. Math

    Jack is going to fill his beach ball with water. The radius of the ball is 24in. How much water will it take to fill the beach ball?
  9. Math

    Jack is going to fill his beach ball with water. The radius of the ball is 24in. How much water will it take to fill the beach ball?
  10. Math

    Jack is going to fill his beach ball with water. The radius of the ball is 24in. How much water will it take to fill the beach ball?

More Similar Questions