If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

Velocity and mass from force vs. position graphs

You might need: Calculator

Problem

A horizontal net force F is exerted on an object at rest. The object starts at x, equals, 0, start text, m, end text and has a speed of 4, point, 0, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction after moving 6, point, 0, start text, m, end text along a horizontal frictionless surface. The net force F as a function of the object's position x is shown below.
Net horizontal force (N) vs. horizontal position (m) graph. Y-intercept is zero and it has a slope of 5 m/s.
What is the mass of the object?
Round answer to 2 significant digits.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
start text, k, g, end text
Stuck?
Stuck?