Physics

posted by .

A shopper pushes a cart 50 m south down one aisle and then turns 90.0° west and moves 19 m. He then makes another 90.0° turn and moves 13 m.

(a) What is the largest possible displacement of the shopper?
(b) What is the smallest possible displacement of the shopper?

Could you show me step by step

  • Physics -

    start the shopper at (0,0)
    After pushing the cart 50 m south, he's now at (0, -50)
    After turning west and pushing the cart 19 m, he's now at (-19, -50)

    Now he has to turn 90 degrees again. . . he will then be going either north or south. . . south will result in the largest displacement from the origin. . . now he's at (-19, -63)

    north will result in the smallest displacement from the origin . . . then he'd be at (-19, -37)

    The distance from the origin for the largest displacement is (19^2 + 63^2)^0.5

    Let the angle counterclockwise from west be x: then

    tan x = 63/19


    The distance from the origin for the smallest displacement is (19^2 + 37^2)^0.5

    at an angle:

    tan x = 37/19

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    ok it says a shopper in a supermarket pushes a cart with a force of 36N directed at an angle of 26 degrees downward from the horizontal. find the work done by the shopper on the cart as the shopper moves along a 50.6m length of aisle. …
  2. physics

    i need help it says a shopper in a supermarket pushes a cart with a force of 36N directed at an angle of 26 degrees downward from the horizontal. Find the work done by the shopper on the cart as the shopper moves along a 50.6m length …
  3. Physics

    A shopper pushes a cart 40 m south down one aisle and then turns 90.0° west and moves 18 m. He then makes another 90.0° turn and moves 17 m What is the largest possible displacement of the shopper?
  4. Physics

    A shopper in a supermarket pushes a cart with a force of 35 N directed at an angle of 52(angle sign here) downward from the horizontal. Find the work done by the shopper on the cart as the shopper moves along a 50.0 m length of aisle. …
  5. PHYSICS! HELP PLEASE

    A shopper pushes a cart 43 m south down one aisle and then turns 90.0° west and moves 15 m. He then makes another 90.0° turn and moves 10 m. (a) What is the largest possible displacement of the shopper?
  6. physics

    A shopper pushes a cart 43 m south down one aisle and then turns 90.0° west and moves 25 m. He then makes another 90.0° turn and moves 14 m. (a) What is the largest possible displacement of the shopper?
  7. science/math/physics

    A shopper pushes a cart 41 m south down one aisle and then turns 90.0° west and moves 28 m. He then makes another 90.0° turn and moves 14 m. (a) What is the largest possible displacement of the shopper?
  8. Physics

    A shopper pushes a cart 38 m south down one aisle and then turns 90.0° west and moves 25 m. He then makes another 90.0° turn and moves 17 m. (a) What is the largest possible displacement of the shopper?
  9. physics

    A shopper pushing a cart through a store moves 30.0 m south down one aisle, then makes a 90◦ turn and moves 11.0 m. He then makes another 90◦ turn and moves 22.0 m. What is the magnitude of the smallest possible displacement …
  10. Physics

    A shopper pushes a cart 50 m south down one aisle and then turns 90.0° west and moves 12 m. He then makes another 90.0° turn and moves 20 m. What is the largest possible displacement of the shopper?

More Similar Questions