A 2.0 kg object moves along the x-axis under the influence of an unknown force. Its potential energy due to the force is U(x) = ax4 + bx2 , where a = 2.5 J/m4 and b = 12 J/m2 a) What is the force on the object when x = 0.5 m? b) If the object is released from rest at x = 0.5 m, what is its velocity when it crosses the origin?
A 2.0 kg object moves along the x-axis under the influence of an unknown force. Its...
A 4-kg particle moves along the x-axis under the influence of a conservative force. The potential energy is given by U(x) = bx^3 , where b = 8.0 J/m^3 . What is the magnitude of the acceleration of the particle (in m/s2 ) when it is at the point x = 2 m?
A conservative force F(x) acts on a 2.0 kg particle that moves along an x axis. The potential energy U(x) associated with F(x) is graphed in the figure. When the particle is at x-2.0 m, its velocity is -1.4 m/s. (a) What is F(x) at this position, including sign? Between what positions on the (b) left and (c) right does the particle move? (d) what is its particle's speed at x = 7.0 m? x (m) 10 15 (a) Number...
A particle starts from rest at x = -1.8 m and moves along the x-axis with the velocity history shown. Plot the corresponding acceleration and the displacement histories for the 2.0 seconds. Find the time t when the particle crosses the origin. After you have the plots, answer the questions. Chapter 2, Practice Problem 2/015 A particle starts from rest at x = -1.8 m and moves along the x-axis with the velocity history shown. Plot the corresponding acceleration and...
An object moves in the positive x?direction under the influence of a force Fx. A graph of Fx versus vx is shown. (a) What is the instantaneous power on the object when its velocity is 22 m/s? (b) What is the instantaneous power on the object when its velocity is 48 m/s?
An object of mass m = 4.2 kg moves under the influence of one force. That force causes the object to move along a path given by x = 6.8 + 5.2 t + 2.8 t2, where x is in meters and t is in seconds. Calculate the work done by the force on the object from t = 2.5 s to t = 6.5 s. ____J
The only force acting on a 2.0 kg object moving along the x axis is shown. If the velocity vx is -2.0 m/s at t = 0, what is the velocity in m/s at t = 3.0s?a. -2.0b. -4,0c. -3.0d. +1.0e. -5.0
The only force acting on a 2.0-kg object moving along the x axis is shown. If the velocity Vx is +2.0 m/s at t = 0, what is the velocity at t = 4.0 s? +6.0 m/s +2.0 m/s +7.0 m/s +5.0 m/s +4.0 m/s
A conservative force F(x) acts on a 1.7 kg particle that moves along an x axis. The potential energy U(x) associated with F(x) is graphed in the figure. When the particle is atx-2.0 m, its velocity is -1.7 m/s. (a) What is F(x) at this position, including sign? Between what positions on the (b) left and (c) right does the particle move? (d) what is its particle's speed at x = 7.0 m? x (m) 0 10 15 0 -5...
A force parallel to the x-axis acts on a particle moving along the x-axis. This force produces potential energy U(x) given by U(x) = αx4 , where α = 1.25 J/m4. What is the force (magnitude and direction) when the particle is at x = -0.856 m?
(Figure 1) shows the force acting on a 4.5 kg object as it moves along the r-axis. The object is at rest at the origin at 10s. What are its acceleration and velocity at t = 6s? Part A What is its acceleration at 6 s? Express your answer with the appropriate units. a Value Units Submit Request Answer Figure < 1 of 1 > Part B What is its veloocity at 6 s? Express your answer with the appropriate...