A particle is moving with a constant acceleration of 4.0 m/s2 . Its speed at t = 1.0 s is 4.0 m/s and at t = 3.0 s it is 12.0 m/s. What is the area under the position-time graph for the interval from t = 1.0 s to t = 3.0 s?
a. 8.0 m/s
b. 8.0 m
c. 12 m
d. 16 m
e. 16 m/s2
d
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A high-speed dart is shot from ground level with a speed of 150 m/s at an angle 30° above the horizontal. What is the vertical component of its velocity after 4.0 s if air effects can be neglected?
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A horizontally-projected beam of electrons travelling at 55 km/s travels between two parallel plates separated by 7.4 cm, and 12 cm long, between which there is an electric field of 7.2 mV/m upward. If the beam enters the region at a height of 3.7 cm above the lower plate, at what height above the lower plate is the beam when it exits? The electron mass is
A. 0.9 cm B. 2.3 cm C. 5.1 cm D. 4.6 cm
Standing Waves on a String: A string of length 2.5 m is fixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five loops is formed.(a) Determine the distance between two adjacent nodes.(b) Determine the wavelength of the waves that travel on the string.(c) Determine the speed of traveling waves on this string.(d) Determine the fundamental frequency of this string.
What will be an ideal response?
An 800-MW electric power plant has an efficiency of 30%. It loses its waste heat in large cooling towers. Approximately how much waste heat (in MJ) is discharged to the atmosphere per second?
a. 1 200 b. 1 900 c. 800 d. 560 e. 240