A quantity that is independent of direction is referred to as a

Two protons are held a distance d apart. The electrostatic force and the gravitational force that one proton exerts on the other are Fe and Fg, respectively. Which of the following correctly compares the magnitude and direction of these forces?

In which of the following situations is the kinetic energy of the object decreasing?

The graph shows the angular velocity vs time graph for an object. Determine the angular displacement that the objects rotates through in 5 seconds. The initial angular velocity is -40 rad/s.

Shown are six cars that are moving along horizontal roads at specified speeds. All the cars are the same size and shape but carrying different masses. Each car is stopped by colliding with a barrier, and stop in the same distance. Rank the magnitude of the forces to stop each car.

Each figure shows two blocks hanging form the ends of a strong but massless string, which passes over a massless, frictionless pulley. Rank the figures from greatest to least on the net force that accelerates the system of blocks.

Five identical figure T's are constructed from two uniform rods of equal lengths and masses. For each figure, a different axis of rotation in the plane of the paper is indicated by the dotted line. Rank these T figures according to their moments of inertia about the indicated axes, from largest to smallest. Ignore the width of each rod, but not length

In each of the situations, two conducting spheres of the same size are shown with an initial given number of units of charge. The two spheres are brought into contact with each other. After several moments the spheres are separated. Rank the situations as to the quantity of charge on the left sphere from the highest positive to the lowest negative charge after they have been separated.

If each bulb has a resistance of R, which circuit has an equivalent resistance of 4R/3? Assume the wires have negligible resistance, and the batteries is ideal.

Shown in a top view are six uniform rods that vary in mass M and Length L. Also shown are circles representing vertical axis around which the rods are going to be rotated in a horizontal plane and arrows representing forces acting to rotate the rods. The forces change direction in order to always act perpendicular to the rods. Rank these rods, from greatest to least, on the magnitude of the their angular acceleration. The moment of inertia formula for rod about end I = (1/3)ML^2.

A 1000 kg car is traveling around a circular flat track that has a diameter of 200 meters. The car completes one lap every 10 seconds. Determine the centripetal force to keep the car following this path.

An unknown planet orbits the sun with a year twice as long as earth's orbital period, 365 days. If the earth's orbital radius is R, then what is the unknown planet's orbital radius?

Two train car's are on a track. The red car is moving at velocity of V, and has twice the mass of the stationary green car. The two train car's collide, join, and move together. What is their final velocity in respect to V

A marble rollers around a vertical circular loop with a radius of R. Determine the minimum velocity for the marble to travel at to maintain contact with the track during the entire time. The answer is in terms of R, g, and any other numeric constants.

A 500 gram block is initially moving at -4 m/s. A force then acts on the block as shown in the graph. Determine the velocity at 5 seconds for the block.

A disk, mass - M and radius - R, rolls down an incline without sliding that is 5R tall. Determine the velocity of the disk at the bottom of the incline in terms of the variables given, fundamental and numeric constants.