A particle of mass 18.8 kg moves along the x-axis with a potential energy U whose dependence on position x is shown in the figure. If the total mechanical energy E of the particle is 110 J, what is the speed in m/s of the particle at 7 m? 20 15 U (J) 10 5 2 8 10 4.

You throw a ball of mass 15.0 kg straight upward into free fall with an initial kinetic energy of 7.00 J. At its maximum height, the ball stops moving. What is the gravitational potential energy of the ball relative to its starting point at its maximum height in SI units?

An object with a mass of m = 3.00 kg is traveling with an initial velocity of vi = (5.40î − 1.60ĵ) m/s. (a) Determine its initial kinetic energy. (Give your answer to at least one decimal place.) J(b) Determine the amount of work that must be done on the object in order to change its velocity to vf = (6.00î + 7.00ĵ) m/s. J

A horizontal, frictionless spring has a spring constant k = 440 N/m. How much work does it take to stretch the spring from x1 = 0.23 m to x2 = 0.46 m?

In a simple pendulum, energy is stored by lifting the pendulum some height "h" away from the pull of gravity. If the pendulum has gained 10 Joules of gravitational potential energy when it is lifted to position "A", how much kinetic energy will it have at position "B"? A B C D PE = 103 KE =O PE KE = PE=2J KE= -- PE =0 KE= a O Joules 2 Joules 8 Joules 10 Joules

When an 81.0 kg adult uses a spiral staircase to climb to the second floor of his house, his gravitational potential energy increases by 2.00×10³ J. By how much does the potential energy of a 18.0 kg child increase when the child climbs a normal staircase to the second floor?

A particle moving along the a-axis has the potential energy PE = 200/x2 J, where x is in meters. What is the x-component of the force on the particle at x = 7 m.

A basketball player throws a basketball m = 1 kg straight up with an initial speed of v0 = 9.5 m/s. The ball leaves his hand at shoulder height h0 = 2.2 m. Let gravitational potential energy be zero at ground level. Give the total mechanical energy of the ball E in terms of maximum height hm it reaches, the mass m, and the gravitational acceleration g.

A particle, mass 8 kg, moves along the y axis with a speed of 3.3 m/s. It experiences a force of 16 N directed along the x axis. What power is imparted to the particle by the force 9.69 J/s x 9.69

The figure here shows a plot of potential energy U versus position x of a 6-kg particle that can travel only along an x axis. Nonconservative forces are not involved. When the particle is at x = 1 m, it is moving in the +x direction with a kinetic energy of 100 J. Potential Energy Versus x Potential Energy U(U) 100 20 0 1 2 3 7 Position x (m) 4 5 6 8 9 10 11 12 a. What is the acceleration of the particle at x = 3.5 m? Include a plus or minus sign to indicate direction.