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A time-varying net force acting on a 4.0-kg particle causes the particle to have a
displacement given by x = 2.0 t - 3.0 t2 + 1.0 t3
, where x is in meters and t is in seconds.
(a) Use Work- energy theorem to find the work done on the particle in the first 3.0 s of motion.
(b) The average power delivered in the first 3 s.
(c) the instantaneous power delivered at t = 2 s.
An 80cm simple pendulum makes 28 complete swings in 45 seconds on an unknown planet. What is the gravitational acceleration of the planet?
A 0.75kg mass vibrates according to the equation x=0.65 cos(7.35t). Determine the a) amplitude b) frequency c) period and d) spring constant?
sound waves have a frequency of 250 Hertz and a wavelength of 1.30 meters. Find the speed of waves?
A spring with a constant of 100N/m vibrates at 25Hz. What is the frequency of vibration of a spring with a constant of 400N/m?
A fast train traveling at 22.0 m/s trails behind a slower train traveling at 16.0 m/s. The fast train is 150 m behind that of the slower train when it started to stop. The fast train then started to accelerate at 0.120 m/s², opposing its velocity. Will the trains collide?
Consider a series circuit including a 4Ω, a 16mH-inductor, and a
power supply of 9 volts.
(a) Find the time constant of the RL series circuit?
(b) Find the current in the circuit 100μs after the switch is closed?
(c) How many times constant does it take for the current to reach 99.9% of its
final value?
The car is going 30s speed of 20m/s then with the speed of 10m/s it drives 300m. more whats the middle speed of the car.
Steam at 2 MPa and 250°C in a rigid cylinder is cooled until the quality is 30%. Find the heat rejected from the cylinder.
@ 2 Mpa and 250°C: υ = 0.11144 m3 /kg
u = 2679.6 kJ/kg
@ 2 Mpa, (saturated):υf = 0.0011767 m3 /kg
υg = 0.09963 m3 /kg
uf = 906.44kJ/kg
ug = 1693.8 kJ/kg
Explain how pure metal and semi conductor can be distinguished through the effect of temperature on their electrical resistance.
#340153 on Dec 2023