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Problem: A rock is thrown at an angle θ above the horizontal
(a) Neglecting air resistance, use Newton's second law to find the rock's position as a function of time in the horizontal and vertical Cartesian coordinates.
(b) Let r(t) denote the distance the rock is from the starting point. For what initial angles θ will r(t) increase monotonically throughout the rock's flight? (Suggestion: To avoid long square roots, write out an expression for r^2 using results from part a).
A 2 kg object attached to a spring moves without friction (b = 0) and is driven by an external force given by the expression F = 4.60sin (2pi*t), where F is in newtons and t is in seconds. The force constant of the spring is 20.0 N/m.
A shaving mirror is a concave mirror used to give someone a close up view of their face. how far is the man's face from the mirror
The equation of a transverse wave on a string is y = (2.0 mm) sin[(19 m-1)x - (625 s-1)t]. The tension in the string is 11 N. Find the linear density of this string
q1. an airplane is flying horizontally with the speed of 1300kmh while an engine falls off. neglecting air resistance
The aorta carries blood away from the heart at a speed of about 39 cm/s and has a radius of approximately 1.0 cm. The aorta branches eventually into a large number of tiny capillaries that distribute the blood to the various body organs.
A diverging thin lens and a concave mirror have focal lengths of equal magnitude. Determine the properties of the final image of the system affter two refractions
A bat strikes a 0.145-kg baseball. Just before impact, the ball is traveling horizontally to the right at 60.0m/s , Find the vertical component (Fy) of the average force on the ball
A 0.25 kg harmonic oscillator has a total oscillation energy of 9.9 J. If the oscillation amplitude is 20.0 cm, what is the oscillation frequency
A generator with an rms voltage of 150V is connected in series to a resistor 3.25 kilo-ohm and a capacitor 3.50 microfarad. find the average power consumed by this circuit
The pendulum in a grandfather clock is made of brass and keeps perfect time at 17.8°C. How much time is gained or lost in a year if the clock is kept at 23.5°C
as a fish jumps vertically out of the water assume that only two significant forces act on it an upward force f exerted
You need to design an industrial turntable that is 50.5 cm in diameter and has a kinetic energy of 0.205 J when turning at 42.0 rpm, What must be the moment of inertia of the turntable about the rotation axis
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