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Two cars drive on a straight highway. At time t=0, car 1 pass mile marker 0 travelling due east with a speed of 20m/s. At the same time, car 2 is 1km east of mile marker 0 travelling 30m/s west. Car 1 is speeding up with an acceleration of magnitude 2.5m/s, and car 2 is slowing down with an acceleration of magnitude 3.2m/s.
(a) Write x-versus-t equations of motion for both cars, taking east as the positive direction.
(b) At what time do the cars pass after that to one another?
Ann is driving down a street at 63 km/h. rapidly a child runs into the street. If it takes Ann 0.799 s to react and apply the brakes, how far will she have moved before she begins to slow down? Response in units of m
The equation of a transverse wave traveling along a very long string is y = 5.0 sin (0.055 ?x + 6.0 ?t), Determine the amplitude of propagation of the wave
A sample contains 8.90×104 radioactive nuclei. In a time of 5 minutes, 1.90×103 of the nuclei decay. Evaluate the half life of the sample
Force F? =?15j^N is exerted on a particle at r? =(5i^+5j^)m. What is the torque on the particle about the origin
A helicopter is ascending vertically with a speed of 5.57. At a height of 124 above the Earth, package is dropped from a window. How much time does it take for the package to reach the ground?
You close the top of your straw with your thumb and lift the straw out of your glass containing Coke. How large is the error (in per cent) if you neglect the air in the straw
If the electric field strength in air exceeds 3.0 multiplied by 106 N/C, the air becomes a conductor. Using this fact, determine the maximum amount of charge that can be carried by a metal sphere 3.1 m in radius.
An electron has an initial velocity of (15.0 j + 22.0 k) km/s and the constant acceleration of (3.00*10^12 m/s^22)i in a region in which uniform electric and magnetic fields are present. If B = (400 µT)i, find the electric field E.
A house sits in a valley and is 30 m lower than the water tower that serves it. What is the speed of water when it sprays out of a shower in the house?
What is the direction of the force that the unknown charge exerts on the charge of magnitude 0.580uC?
A flight attendant pulls her 61N flight bag a distance of 279m along a level airport floor at a constant velocity. The force she exerts is 41N at the angle of 50° above the horizontal.
An ordinary workshop grindstone has a radius of 7.50 cm and rotates at 6000 rpm. What is the linear speed of a point on its edge
A 2.5-m-long steel wire in a musical instrument has a radius of 0.02 mm. When the wire is under a tension of 91 N, how much does its length change
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