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Suppose the speeder is traveling with a constant speed of 23m/s , and that the maximum acceleration of the police car is 3.5m/s^2 . If the police car is to start from rest and catch the speeder in 14s or less, what is the maximum head-start distance the speeder can have? Measure time from the moment the police car starts.
A rowboat crosses a river with a velocity of 3.51 mi/h at an angle 62.5° north of west relative to water. The river is 0.8 mi wide and carries an eastward current of 1.25 mi/h. How far upstream is the boat when it reaches the opposite shore.
Kelli weighs 417 N, and she is sitting on a playground swing that hangs 0.44 m above the ground. Her mom pulls the swing back and releases it when the seat is 1.00 m above the ground. Imagine that air resistance is negligible.
Expand Lagrangian to second order about equilibrium coordinates, r_0, phi = wt and find the condition for stability against small oscillations.
The radar system at an airport broadcasts 11 microwaves with 150 of power. An approaching airplane with a 31 cross section is 24 away. suppose that the radar broadcasts uniformly in all directions and that the airplane scatters microwaves uniformly..
Let us take half the terminal speed as a reasonable "upper bound" beyond which we should not use our constant acceleration free-fall relationships.
Estimate the terminal speed of a wooden sphere (density 0.810 g/cm3) falling through air, if its radius is 8.00 cm and its drag coefficient is 0.500. (The density of air is 1.20 kg/m3.)
What are the following values about the central axis at the instant the torque has been applied for 195ms? The angular momentum of disk.
Find out the angle of the thread. If the locomotive can exert a constant pull of 8.36E+5 N, how long does it take to increase the speed of the train from rest to 80.7km/hr.
A cylindrical container 1.6 m tall contains mercury to a certain depth d. The rest of the cylinder is filled with water. If the pressure at the bottom of cylinder is two atmospheres, what is the depth d.
A gauge-12 wire has diameter centimeters and length meters. while the voltage volts is applied to the ends of the wire, the current is amperes. The concentration of free electrons in the wire is per cubic meter.
what is the final position of the man. What is the magnitude of the electric field (in N/C) at the point (-2.0 m, 3.0 m).
What is magnitude of the force that a concrete support exerts on the bridge at each end. The cloth exerts a friction force of 0.100 N on the mug and the cloth is pulled with a constant acceleration of 3.00 m/s.
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