A 24 kg object is acted on by a conservative force given by F = -1.0x - 6.0x2, with F in newtons and x in meters. Take the potential energy associated with the force to be zero when the object is at x = 0. (a) What is the potential energy of the system associated with the force when the object is at x = 1.7 m? (b) If the object has a velocity of 3.0 m/s in the negative direction of the x axis when it is at x = 4.7 m, what is its speed when it passes through the origin? What are the answers to (c) (a) and (d) (b) if the potential energy of the system is taken to be -9.2 J when the object is at x = 0?

A 24 kg object is acted on by a conservative force given by F = -1.0x - 6.0x2, with F in newtons and x in meters. Take the potential energy associated with the force to be zero when the object is at x = 0. (a) What is the potential energy of the system associated with the force when the object is at x = 1.7 m? (b) If the object has a velocity of 3.0 m/s in the negative direction of the x axis when it is at x = 4.7 m, what is its speed when it passes through the origin? What are the answers to (c) (a) and (d) (b) if the potential energy of the system is taken to be -9.2 J when the object is at x = 0?

Similar questions

The force applied to an object changes with position according to the equation Fx = 3x ^ 3 -5. If the object moves from x = 4m to x = 7m, find the work done by this force on the object.
A sledge loaded with bricks has a total mass of 18.7 kg and is pulled at constant speed by a rope inclined at 20.3° above the horizontal. The sledge moves a distance of 19.9 m on a horizontal surface. The coefficient of kinetic friction between the sledge and surface is 0.500. (a) What is the tension in the rope? (b) How much work is done by the rope on the sledge? kJ (c) What is the mechanical energy lost due to friction? k]
Suppose a car travels 108 km at a speed of 35.0 m/s, and uses 2.10 gallons of gasoline. Only 30% of the gasoline goes into useful work by the force that keeps the car moving at constant speed despite friction. (The energy content of gasoline is 1.3 ✕ 108 J per gallon.) (a) What is the force exerted to keep the car moving at constant speed? (b) If the required force is directly proportional to speed, how many gallons will be used to drive 108 km at a speed of 28.0 m/s?
A sledge loaded with bricks has a total mass of 18.6 kg and is pulled at constant speed by a rope inclined at 20.8° above the horizontal. The sledge moves a distance of 20.9 m on a horizontal surface. The coefficient of kinetic friction between the sledge and surface is 0.500. (a) What is the tension in the rope? (b) How much work is done by the rope on the sledge? kJ (c) What is the mechanical energy lost due to friction? kJ
The force required to compress a non-standard spring varies as the spring is compressed, as shown by the plot of force vs displacement. Distances are x1 = 10, x2 = 25 cm, x3 = 55 cm, and x4=75cm, and the forces are F1 = 110 N and F2 = -60N. Calculate the work done in Joules, on the spring as it is compressed from origin to point x4.
A motorcyclist drives up a 3.1-meter tall ramp and leaves the ramp with a speed of 42.5 m/s. If his speed is 37.8 m/s when he reaches the peak of his path, what is the maximum height (in m) above ground that he reaches? (Use energy, not kinematic equations.)
A young woman on a skateboard is pulled by a rope attached to a bicycle. The velocity of the skateboarder is v⃗ → = (5.1 m/sm/s )x^ and the force exerted on her by the rope is F⃗ → = (17 NN)x^+ (12 NN)y^. Find the work done on the skateboarder by the rope in 20 seconds.
103.