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A particle starts from the origin at t=0 with a veolicty of 6.0i m/s and moves in the xy plane with a constant acceleration of (-2.0i+ 4.0j). At the instant the particle achieves its maximum positive x cordinate, how far is it from the origin? (i and j stand for the unit vectors i hat and j hat) Please explain the steps to solve this.
A heat engine operates in a Carnot cycle between 84.0°C and 345°C. It absorbs 20,800 J of energy per cycle from the hot reservoir. How much energy does it expel in each cycle by heat
A projectile is launched straight up at 141m/s. How fast is it moving at the top of its trajectory? Presume it is launched upward at 45 degrees above the horizontal plane. How fast is it moving at the top of its curved trajectory.
The altitude of this luge track is 2237m. The altitude at the end is 2205 m. If a luger takes 48 seconds to complete a run, what is his average vertical velocity
Two atomic clocks are carefully synchronized. One remains in New York, and the other is loaded on an airliner that travels at an average speed of 250m/s, Which clock will show the shorter elapsed time
A particle with a mass of 0.420 kg is attached to a horizontal spring with a force constant of 34.02 N/m. At the moment t = 0, Find the length of a simple pendulum with the same period
At a factory, a noon whistle is sounding with a frequency of 491 Hz. As a car travelling at 78 km/h approaches the factory, the driver hears the whistle at frequency fi. After driving past the factory, the driver hears frequency ff. What is the chang..
Calculate the rotational inertia of a meter stick, with mass 0.64 kg, about an axis perpendicular to the stick and located at the 18 cm mark
A sailboat is travelling east at 4.0 m/s. A sudden gust of wind gives the boat an acceleration a = (1.35 m/s2 30° north of east). What is the boat's speed 6.0 seconds later while the gust subsides.
Two point charges Q1, and Q2 are place exactly on the x axis at -x1. A second particle Q2 is placed at +x2 on the positive x axis. What is the total E field at the origin
Two balls, of masses = 49 and = 67 , are suspended as shown in the figure. The lighter ball is pulled away to a 66 angle with the vertical and released. suppose that positive axis is directed to the right. What is the velocity of the lighter ball ..
A 12- V battery causes a current of 0.40A through a resistor. how may joules of energy does the battery lose
Suppose a pion is moving at a speed of 0.986c, and an observer who is stationary in a laboratory measures the pion's lifetime to be2.7 × 10-8 s. What is the lifetime according to a hypothetical person who is riding along with the pion
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