A 10 g particle has the potential energy shown in a graph with the y-axis label U(J) and the x axis is labeled in cm. There is a diagonal line from 4 J down to 1 cm and the line levels out on the x axis to 3 cm and rises again to a height of 2 J at 5 cm and levels out to 7 cm and rises to 6 J at 8 cm.

Part A: How much work does the force do as the particle moves from 2 cm to 6 cm?

W = ? J

Part B: What speed does the particle need at x = 2cm to arrive at x = 6cm with a speed of 10 m/s ?

v = ? m/s
I need a formula to try to find the W on question A

I tried Part b and got 26 and 9.6 and submitted but both answers were wrong! Got one more chance! Please help.

  1. 👍 0
  2. 👎 0
  3. 👁 938
  1. I just tried 2 J for A and missed it.

    1. 👍 0
    2. 👎 0
  2. I left off the negative sign. -2 is correct.

    In B Part I am using this formula:
    first velocity = sq. rt of 2*(U + 1/2mv^2of final velocity /m

    What do I use for U and can I use 10 g or should I convert this to kg in this formula? Does it matter that the x axis has cm and the final answer is m/s?

    1. 👍 0
    2. 👎 0
  3. Since W = �ç F dx = area of the Fx-versus-x graph between xi and xf, the work done by the force as the
    particle moves from i x = 2 cm to f x = 6 cm is −2 J.

    The conservation of energy equation is f f i i . K +U = K +U We can see from the graph that i U = 0 J and
    f U = 2 J in moving from x = 2 cm to x = 6 cm. The final speed is f v =10 m/s, so
    1 2 1 2
    2 2 i i 2 J + (0.010 kg)(10.0 m/s) = 0 J + (0.010 kg)v �Ë v = 22.4 m/s

    1. 👍 0
    2. 👎 0
  4. sorry I copy and pasted and it came out weird.

    Part a- take the area under the curve and multiply it by (-1) because W= -delta u (area under the curve).

    part b- use Kf + Uf = Ki + Ui we know that Ui=0 and Uf= 2J (just by looking at the graph) they gave you your final velocity so we will solve for initial velocity by plugging in all the given information. Initial velocity is 22 m/s.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Science (energy)

    1. What similarities do nuclear energy and chemical energy share? Choose all that apply. A. Both are types of kinetic energy. B. Both are types of potential energy. [CORRECT!] C. Both involve magnetic energy. D. Both involve

  2. Physics

    Figure (a) shows charged particles 1 and 2 that are fixed in place on an x axis. Particle 1 has a charge with a magnitude of |q1| = 12.0e. Particle 3 of charge q3 = +13.0e is initially on the x axis near particle 2. Then particle

  3. Physics-Help please...

    The graph give the acceleration a versus time t for a particle moving along an x axis. The a axis scale set by a=12 m/s^2. At t = -2s the particle's velocity is 10 m/s. What is its velocity at t = 6s. I know that I am supposed to

  4. physics

    The velocity-versus-time graph is shown for a particle moving along the x-axis. Its initial position is x0 = 1.8m at t0 =0s. Part A What is the particle's position at t=1.0s? Part B What is the particle's acceleration at t= 1.0s?

  1. Physics

    A particle starts from the origin at t = 0 and moves along the positive x axis. A graph of the velocity of the particle as a function of the time is shown in the figure; the v-axis scale is set by vs = 7.0 m/s. (a) What is the

  2. Physics

    The velocity graph of a particle moving along the x-axis is shown. The particle has zero velocity at t=0.00s and reaches a maximum velocity, vmax, after a total elapsed time, t total. If the initial position of the particle is x0

  3. math

    Nancy wants to make a graph to show the relationship between the temperature of water, in degrees Celsius, and the time, in minutes, for which water is heated. She plots the following points: (0, 50), (1, 60), (2, 70), (3, 80),

  4. Math

    What is the equation of the line shown on the graph? A graph is shown in the xy-plane. The x-axis is labeled as Number of Target Hits and the y-axis is labeled as Number of Points Scored. The values on the x-axis range from 0 to

  1. science

    A particle leaves the origin with a speed of 2.4 times 106 m/s at 38 degrees to the positive x axis. It moves in a uniform electric field directed along positive y axis. Find Ey such that the particle will cross the x axis at x =

  2. physics

    Point A is at a potential of +250 V, and point B is at a potential of -150 V. An á-particle is a helium nucleus that contains two protons and two neutrons; the neutrons are electrically neutral. An á-particle starts from rest at

  3. Physics

    A particle starts from xi = 10 m at t0 = 0 and moves with the velocity graph shown in the graph below. Sorry for no graph it's at 12 m/s when time is zero. Moves down consistently so that it is 8 at 1 4 at 2 0 at 3 and negative 2

  4. Physics Please help !!

    A single conservative force = (6.0x - 12) N where x is in meters, acts on a particle moving along an x axis. The potential energy U associated with this force is assigned a value of 23 J at x = 0. (a) Write an expression for U as

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