(a) Check all of the following that are correct statements, where E stands for γmc2. Read each statement very carefully to make sure that it is exactly correct.

The definition K = E - mc2 is valid even for speeds near the speed of light.

The energy principle can be written Esys, f = Esys, i + Wsurr.

The definition of work is W = Fxdeltax + Fydeltay + Fzdeltaz.

At speeds close to the speed of light, kinetic energy is approximately equal to (1/2)mv2.

The definition of work is W = < Fxdeltax, Fydeltay, Fzdeltaz >.

The definition of work is W = |< Fxdeltax, Fydeltay, Fzdeltaz >|.

The energy principle can be written deltaEsys = Wsurr.

(b) An object with mass 70 kg moved in outer space. When it was at location < 14, -32, -7 > its speed was 11.5 m/s. A single constant force < 240, 400, -120 > N acted on the object while the object moved to location < 19, -40, -12 > m. What is the speed of the object at this final location?

Ahowler monkey is the loudest land animal and, under some circumstances, can be heard up to a distance of 4.6 km. assume the acoustic output of a howler to be uniform in all directions and that the threshold of hearing is 1.0 × 10-12 w/m2. what is the acoustic power emitted by the howler

Aball is thrown upward. at a height of 10 meters above the ground, the ball has a potential energy of 50 joules (with the potential energy equal to zero at ground level) and is moving upward with a kinetic energy of 50 joules. what is the maximum height h reached by the ball? consider air friction to be negligible. 1. h ≈ 10 m 2. h ≈ 50 m 3. h ≈ 30 m 4. h ≈ 40 m 5. h ≈ 20 m 003 10.0 points which of the two object shown below has the greatest kinetic energy? a m b 1 2 m v 2v 1. kinetic energies are the same. 2. a 3. b 4. unable to determine. 004 10.0 points tim, with mass 74.6 kg, climbs a gymnasium rope a distance of 3.1 m. the acceleration of gravity is 9.8 m/s 2 . how much potential energy does tim gain? answer in units of j. 005 10.0 points a car is moving at 64 miles per hour. the kinetic energy of that car is 5 × 105 j. how much energy does the same car have when it moves at 111 miles per hour? answer in units of j. 006 10.0 points an 102 kg man climbs up a 1 m high flight of stairs. the acceleration of gravity is 9.81 m/s 2 . w

1.what is where an object is located 2. what is how fast an objects speed is changing 3. what is how fast an object is moving