An object that is 0.5 m above the ground has the same amount of potential energy as a spring that is stretched 0.5 m. Each distance is then doubled.

How will the potential energies of the object and the spring compare after the distances are doubled?

The gravitational potential energy of the object will be two times greater than the elastic potential energy of the spring.
The elastic potential energy of the spring will be four times greater than the gravitational potential energy of the object.
The elastic potential energy of the spring will be two times greater than the gravitational potential energy of the object.
The potential energies will remain equal to one another.

John throws .4 kg ball with velocity of 18 m/s. hits .2 kg bottle and bottle flies 25 m/s. how fast is ball traveling after hitting the bottle?

The second largest public utility in the nation is the sole provider of electricity in 32 counties of southern florida. to meet the monthly demand for electricity in these counties, which is given by the inverse demand function p = 1,200 – 4q, the utility company has set up two electric generating facilities: q1 kilowatts are produced at facility 1, and q2 kilowatts are produced at facility 2 (so q = q1 + q2). the costs of producing electricity at each facility are given by c1(q1) = 8,000 + 6q12 and c2(q2) = 6,000 + 3q22, respectively. determine the profit-maximizing amounts of electricity to produce at the two facilities, the optimal price, and the utility company’s profit

Forces used for the normal fault in british columbia canada