A particle of mass 3.2 kg moves under the influence of the force F(x) = (−5x^2 + 7x) N. If its speed at x = −2.8 m is v = 29.0 m/s, what is its speed (in m/s) at x = 2.8 m?
____m/s
A particle of mass 3.2 kg moves under the influence of the force F(x) = (−5x^2...
A particle of mass 3.4 kg moves under the influence of the force F(x) = (−5x2 + 7x) N. If its speed at x = −4.0 m is v = 22.0 m/s, what is its speed (in m/s) at x = 4.0 m?
force Fx acts on a particle that has a mass of 2 kg. The force is related to the position x of the particle by the formula F 3, where C-0.5 if x is in meters and Fy is in Newton (a)What are the SI units of C? (Use the following as necessary: N and m.) (b) Find the work Wdone by this force as the partidle moves from x - 2.8 m to x - 1.6 m (C) At...
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
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 particle of mass 3.2 kg is acted on by a non-constant force of F=3x2 (N/m2). When x=3 meters it has a speed of 7.5 m/s. How fast is it moving at x = 8 meters?
U(U) x(m) 5 10 15 A particle moves under the influence of a conservative force. The graph shows the potential energy U as a function of position x. Which of the following graphs best shows the force F exerted on the particle as a function of r? F(N) ->x(m) F(N) →x(m) (W)x+ F(N) (W)x+ F(N) (W)x+ F(N)
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 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 with 500 gm mass starts from rest and moves by a force F(x) = 2x2 +3 from the origin to x = 4 2) A particle with 500 gm mass starts from rest and moves by a force F(x) = 2x2 +3 from the origin to x = 4 m. What is the velocity of the particle at the end of its trip?
A particle of mass m moves in the vertical plane (xOz) under the influence of two forces: gravity: G-m g (g oriented in the -z direction), and the frictional force: F--k V, where V is the instantaneous velocity. The initial conditions are: a) Find x(t) and zit) b) Find the equation z(x) of the trajectory. Under what conditions is this trajectory a parabola? c) Assuming that Xo > 0, and ї0, find the coordinates (xA,-A) of the highest point on...