A net force along the x-axis that has x-component Fx=−12.0N+(0.300N/m^2)x^2 is applied to a 3.80 kg object that is initially at the origin and moving in the -x-direction with a speed of 7.30 m/s. What is the speed of the object when it reaches the point x = 8.20 m?

A toy cannon uses a spring to project a 5.33-g soft rubber ball. The spring is originally compressed by 4.99 cm and has a force constant of 8.08 N/m. When the cannon is fired, the ball moves 15.3 cm through the horizontal barrel of the cannon, and the barrel exerts a constant friction force of 0.031 O N on the ball. (a) With what speed does the projectile leave the barrel of the cannon? m/s () At what point does the ball have maximum speed? cm (from its original position) (c) What is this maximum speed? m/s

A particle of mass m is subject to a conservatives force F= A/x1 where a is a constant. The particle is initially at rest at the origin and is given a slight nudge in the positive x direction. The speed of the particle as a function of x is a. 3m 3 V m a 2V 3m x0.75 2m 3a

A toy cannon uses a spring to project a 5.32-g soft rubber ball. The spring is originally compressed by 5.05 cm and has a force constant of 7.95 N/m. When the cannon is fired the ball moves 14.3 cm through the horizontal barrel of the cannon, and the barrel exerts a constant friction force of 0.031 0 N on the ball. (a) With what speed does the projectile leave the barrel of the cannon? 1.41 m/s (b) At what point does the ball have maximum speed? cm (from its original position) (c) What is this maximum speed? m/s

A 2.0 kg mass is moving along the x-axis. The potential energy curve as a function of position is shown in the figure. The kinetic energy of the object at the origin is 12 J. The system is conservative, and there is no friction. What will be the speed of the object at 6.0 m along the +x-axis? 30 29 P.E. 20 (J) 15 10 + Position 2.0 4.0 6.0 8.0 10.0 (m) 1.2 m/s O 1.4 m/s 1.8 m/s 2 m/s 2.2 m/s

A 500 g particle has velocity vx = -8.0 m/s at t =-2 s. Force Fx=(4−t^2)N, where t is in s, is exerted on the particle between t=−2s and t = 2 s. This force increases from 0 N at t = -2 s to 4 N at t = 0 s and then back to 0 N at t = 2 s. What is the particle's velocity at t=2 s?

An object of mass m= 7.6 kg is free to move on a horizontal surface without any friction. It is initially at rest and starts moving under a net force of F =(3N)î +(4N)ĵ . What is the object's speed in m/s after moving 1 meter?

A model train powered by an electric motor accelerates from rest to 0.720 m/s in 29.0 ms. The total mass of the train is 575 g. What is the average power (in W) delivered to the train by the motor during its acceleration?

A 150 g particle at x = 0 is moving at 2.00 m/s in the +x-direction. As it moves, it experiences a force given by Fx =(0.350N)sin(x/2.00m). What is the particle's speed when it reaches x = 3.14 m? Note:- Consider "/" as a division symbol.

A 0.25 kg mass is placed on a vertically oriented spring that is stretched 0.56 meters from its equilibrium position. If the spring constant is 105 N/m, how fast will the mass be moving when it reaches the equilibrium position? Hint: You cannot ignore the change in gravitational potential energy in this problem. Please give you’re answer in m/s.