EXAMPLE 34 The acceleration a of a particle moving with an initial velocity u varies with distance x as a=kVx wherek is a constant. The distance covered by the particle when its velocity becomes 3u is given by 2 \2/3 3u? (a) k (b) (3ku²)^3 4/3 2/3 2 2/3 (c) k (d) 0 amiT 3k

EXAMPLE 34 The acceleration a of a particle moving with an initial velocity u varies with distance x as a=kVx wherek is a constant. The distance covered by the particle when its velocity becomes 3u is given by 2 \2/3 3u? (a) k (b) (3ku²)^3 4/3 2/3 2 2/3 (c) k (d) 0 amiT 3k

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter3: Two-dimensional Kinematics

Section: Chapter Questions

Problem 65PE: An athlete crosses a 25-m-wide river by swimming perpendicular to the water current at a speed of...

See similar textbooks

Similar questions

An athlete crosses a 25-m-wide river by swimming perpendicular to the water current at a speed of 0.5 m/s relative to the water. He reaches the opposite side at a distance 40 m downstream from his starting point. How fast is the water in the river flowing with respect to the ground? What is the speed of the swimmer with respect to a friend at rest on the ground?
Our solar system orbits the center of the Milky Way Galaxy. Assuming a circular orbit 30,000 ly in radius and an orbital speed of 250 km/s, how many years does it take for one revolution? Note that this is approximate, assuming constant speed and circular orbit, but it is representative of the time for our system and local stars to make one revolution around the galaxy.
Two parallel rail tracks run north-south. Train A moves north with a speed of 59 km h-1 and train B moves south with a speed of 85 km-1. What is the(a) velocity of B with respect to A ?,(b) velocity of ground with respect to B ?,(c) velocity of a monkey running on theroof of the train A against its motion(with a velocity of 17 km h-1 withrespect to the train A) as observed bya man standing on the ground ?
A space vehicle is coasting at a constant velocity of 19.3 m/s in the +y direction relative to a space station. The pilot of the vehicle fires aRCS (reaction control system) thruster, which causes it to accelerate at 0.337 m/2 in the + direction. After 59.8 s, the pilot shuts off the RCS thruster. After the RCS thruster is turned off, find (a) the magnitude and (b) the direction of the vehicle's velocity relative to the space station. Express the direction as an angle (in degrees) measured from the +y direction.
A base ball pitcher with a 90-mi/h fastball throws a ball while standing on a railroad flatcar moving at 110 mi/h. The ball is thrown in the same direction as that of the velocity of the train.If you apply the Galilean velocity transformation equation to this situation, is the speed of the ball relative to the Earth (a)90mi/h, (b)110mi/h, (c)20mi/h, (d) 200mi/h, or (e)imposssible to determine?
(a) Use the distance and velocity data in Figure 3.64 to find the rate of expansion as a function of distance. (b) If you extrapolate back in time, how long ago would all of the galaxies have been at approximately the same position? The two parts of this problem give you some idea of how the Hubble constant for universal expansion and the time back to the Big Bang are determined, respectively. Figure 3.64 Five galaxies on a straight line, showing their distances and velocities relative to the Milky Way (MW) Galaxy. The distances are in millions of light years (Mly), where a light year is the distance light travels in one year. The velocities are nearly proportional to the distances. The sizes of the galaxies are greatly exaggerated; an average galaxy is about 0.1 MlY across.
How can an estimate be of value even when it is off by on order of magnitude? Explain and give an example.
When you are flying in a commercial jet, it may appear to you that the airplane is stationary and the Earth is moving beneath you. Is this point of view valid? Discuss briefly
An astronomer on the Earth observes a meteoroid in the southern sky approaching the Earth at a speed of 0.800c. Al the time of its discovery the meteoroid is 20.0 ly front the Earth. Calculate (a) the time interval required for the meteoroid to reach the Earth as measured by the Earthbound astronomer, (b) this time interval as measured by a tourist on the meteoroid, and (c) the distance to the Earth as measured by the tourist.
An ice hockey player is moving at 8.00 m/s when he hits the puck toward the goal. The speed of the puck relative to the player is 29.0 m/s. The line between the center of the goal and the player makes a 90.0° angle relative to his path as shown in Figure 3.65. What angle must the puck's velocity make relative to the player (in his frame of reference) to hit the center of the goal?
A car traveling at 35.0 m/s takes 26.0 minutes to travel a certain distance according to the drivers clock in the car. How long does the trip take according to an observer at rest on Earth? Hint: The following approximation is helpful: [1x]121+12xforx1.
An interstellar space probe is launched from Earth. After a brief period of acceleration, it moves with a constant velocity, 70.0% of the speed of light. Its nuclear-powered batteries supply the energy to keep its data transmitter active continuously. The batteries have a lifetime of 15.0 years as measured in a rest frame. (a) How long do the batteries on the space probe last as measured by mission control on Earth? (b) How far is the probe from Earth when its batteries fail as measured by mission control? (c) How far is the probe from Earth as measured by its built-in trip odometer when its batteries fail? (d) For what total time after launch are data received from the probe by mission control? Note dial radio waves travel at the speed of light and fill the space between the probe and Earth at the time the battery fails.