Please help me answer these questions

1. Two events are separated by a distance D in space, and a time T in time. Which of the following conditions is true if these events are space-like separated in space-time? (a) D/T = c (b) D/T > c

(c) D/T < c

(d) D2 T2 < c

2. For a time-like separation between two events, the space-time interval equals the

(a) time it takes someone to travel from the first event to the second event in a frame of reference in which the two events do not take place at the same time. (b) amount of time clocks at the two locations are out of synchronization. (c) time between the events according to someone who sees the events occur at the same place.

(d) time it take lights to travel from the first event to the second event.

3. If two events can be observed to happen at the same place, but at two different times then

(a) the space-time interval of these events equals zero. (b) they are separated in a time-like manner. (c) there could be no causal connection between these events. (d) the space-time interval of these events is negative.

4. Two time-like separated events occur 8 meters apart with one event occurring .333 x 102 nanoseconds later than the other, in some frame of reference. What is the value of the space-time interval for these events?

(a) 9.1 meters (b) 1.3 meters (c) 4.2 x 103 meters (d) 6.0 meters

5. Here are four sets of events; each set has two events. Which pair is lightlike separated? (I) D = 1,500 feet, T = 1,500 nanoseconds. (II) D = 1 mile, T = 1 nanosecond. (III) D = 150 light-years, T = 151 years.

(IV) D = 10 light-years, T = 10.1 years.

(a) (IV) (b) (I) (c) (III)

(d) (II)

6. The mathematical form of the space-time interval is most analogous to

(a) length contraction formula. (b) time dilation formula. (c) the Pythagorean theorem. (d) clock synchronization formula.

7. In Newton's laws of gravity and motion, gravitational mass and inertial mass

(a) could not be measured by any means. (b) were both equal to 32 feet per second squared. (c) bore no significance for the principle of equivalence.

(d) measure different properties of an object.

8. If the inertial mass and gravitational mass of an object were not equal

(a) then when you drop two objects of different gravitational or inertial mass from the same height while standing on the ground on Earth, they would reach the ground at the same time. (b) this would have no consequence for the accuracy or truthfulness of the equivalence principle. (c) uniform gravitational fields and accelerated reference frames would not be equivalent.

(d) then there would no such phenomenon as tidal gravity.

9. What astronomical observation existed in Einstein's day that Newton was not correct in explaining?

(a) The sun was getting dimmer. (b) the universe was collapsing. Jupiter's moon Io didn't always take the same time to complete one revolution about Jupiter.

(d) The ellipse of the planet mercury's orbit about the sun was moving about.

10. Event A is located at x=0 and t=0 on a space-time diagram. Event B is located at x=1 ly and t= -3 years. Event B is in event A's

(a) past (b) present (c) future (d) elsewhere

11. Event A is located at x=0 and t=0 on a space-time diagram. Event B is located at x=1 ly and t=3 years. Event B is in event A's

(a) past (b) present (c) future (d) elsewhere