An object of mass m moving with a certain speed has a kinetic energy of 0.0124 J. The object collides with a horizontal spring and compresses it by 0.800 m before it is brought to rest. What is the spring constant of this spring?
A) 0.315 N/m
B) 0.150 N/m
C) 0.194 N/m
D) 0.0235 N/m
E) 0.0388 N/m
E
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A particle moves at a constant speed in a circular path with a radius of 2.06 cm. If the particle makes four revolutions each second, what is the magnitude of its acceleration?
A. 20 m/s2 B. 18 m/s2 C. 13 m/s2 D. 15 m/s2 E. 24 m/s2
Light of wavelength 425.0 nm in air falls at normal incidence on an oil film that is 850.0 nm thick. The oil is floating on a water layer 15 cm thick
The refractive index of water is 1.33, and that of the oil is 1.40. You want to add oil so that light reflected off of the top of the oil film will be canceled. What is the minimum distance that you should INCREASE the oil film? A) 121 nm B) 152 nm C) 75.9 nm D) 106 nm E) 60.7 nm
Suppose a nucleus has 50 protons and 50 neutrons. This places the nucleus to the right of the line of stability; therefore, it will most likely undergo radioactive decay. Given its place on the plot, what are the most likely types of radioactive decay?
a. Alpha decay. b. Beta plus decay and electron capture. c. All of the above. d. Gamma emission. e. None of the above, because the nucleus is stable.
A motorcycle daredevil wants to ride up a 50.0 m ramp set at a 30.0° incline to the ground. It will launch him in the air and he wants to come down so he just misses the last of a number of 1.00 m diameter barrels. If the speed at the instant when he leaves the ramp is 60.0 m/s, how many barrels can be used?
a. 79 b. 318 c. 332 d. 355 e. 402