What is the magnitude of the sum of the forces that is required to accelerate a 1200-kg car uniformly from 0 m/s to 27.0 m/s in 10.0 s?
A) 444 N
B) 1620 N
C) 3240 N
D) 4360 N
E) 11800 N
C
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The Big Bang theory is supported by two major lines of evidence that alternative models have not successfully explained. What are they?
A) (1 ) The theory correctly predicts that the universe should be expanding; (2 ) the theory predicts the existence of and the specific characteristics of the observed cosmic microwave background. B) (1 ) The theory predicts the episode of inflation that we think occurred in the early universe; (2 ) the theory predicts the existence of large quantities of dark matter. C) (1 ) The theory correctly predicts that the universe should be expanding; (2 ) the theory correctly predicts the observed ratio of spiral to elliptical galaxies in the universe. D) (1 ) The theory predicts the existence of and the specific characteristics of the observed cosmic microwave background; (2 ) the theory correctly predicts the observed overall chemical composition of the universe.
A headwaiter at a restaurant decides to apply the exclusion principle to the seating of patrons. He will treat tables as sub-shells, and will only seat patrons if the number of the people to be seated adds up to a complete sub-shell. Of the numbers below, the number he would not be willing to seat at one table is
a. 2. b. 4. c. 6. d. 10. e. 14.
Consider two blinking warning lights 3000 m apart along a railroad track. These lights flash simultaneously in the ground frame. Let W be the event of the west light blinking, and let E be the event of the east light blinking. A train moves eastward along the track at a relativistic speed ?. Suppose an observer in the train passes the west light just as event W happens. By carefully measuring when the light from event E arrives and calculating the distance between the two lights (by observing how long it takes to travel between the lights at the known speed ?), the observer is able to infer when event E actually happened in the train frame. The observer concludes that
A. Event W happened before event E in the train frame. B. Events W and E were simultaneous in the train frame. C. Event E happened before event W in the train frame. D. One cannot determine unambiguously which event occurs first in the train frame.
The position of an object is given by x = at3 – bt2 + ct, where a = 4.1 m/s3, b = 2.2 m/s2, c = 1.7 m/s, and x and t are in SI units. What is the instantaneous acceleration of the object when t = 0.7 s?
A) -13 m/s2 B) 2.9 m/s2 C) 4.6 m/s2 D) 13 m/s2