Calculate the time dilation for a car moving with a velocity of 100 km/hr.
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- A particle is moving with a constant speed; at time t=3 it has velocity <5,9> and acceleration <c,10>. For what c is this possible?c =In a certain particle accelerator, a proton has a kinetic energy that is equal to its rest energy. What is the speed of the proton relative to the accelerator? 0.87 c 0.25 c 0.75 c 0.71 c 0.50 cThe Starship Enterprise returns from warp drive to ordinary space with a forward speed of 51 km/skm/s . To the crew's great surprise, a Klingon ship is 140 kmkm directly ahead, traveling in the same direction at a mere 30 km/skm/s . Without evasive action, the Enterprise will overtake and collide with the Klingons in just about 6.7 ss . The Enterprise's computers react instantly to brake the ship. What magnitude acceleration does the Enterprise need to just barely avoid a collision with the Klingon ship? Assume the acceleration is constant.
- A person is traveling at 28.3 m/s due west on the highway and sees a tractor ahead of him moving ahead of him perpendicularly away from the road (North) at 6.50m/s. (Both these motions are relative to a frame at rest on the ground.) What is the car's velocity in the tractor's frame (magnitude and direction)?cody is driving down the road, eastbound, with his dog in the back seat of the car. To an outside observer on the roadside, Cody’s speed is 21.0 meters per second. A blue car is passing them at a relative velocity of 2.5 meters per second. Which of the following statements are accurate about this situation? (Choose all that apply) The blue car’s velocity, to a roadside observer, is 23.5 m/s. The blue car’s velocity, to a roadside observer, is 18.5 m/s. The dog’s velocity, relative to Cody, is 0 m/s. Cody’s velocity, from the blue car’s frame of reference, is −2.5 m/s. Cody is stationary from the blue car’s frame of reference.a truck at rest at a stoplight accelerates uniformly at 5.7 meters per second for 9 seconds after the light turns green. What is the speed of the truck in meters per second after that time interval?
- A UFO is observed directly above the earth moving at a constant velocity. An astronaut on the moon (3.8 108 m from earth) observes the UFO passing overhead 3.1 s later. From the UFO's reference frame, how long did it take to travel from the earth to the moon?R3B2. Alicia is a student on a passenger train moving at a constant velocity relative to the ground. She synchronizes her watch with the station clock as she passes through the town of Bannon station, and then compares her watch with the station clock as she passes through the Center town station farther down the line. The ground is an inertial frame, and the Bannon and Center clocks are synchronized in that frame. (1) Using a model or diagram, is the time she measures between the events of passing through these towns a proper time? (2) Is it a coordinate time in some inertial reference frame? (3) Is it the spacetime interval between the events?Imagine that you are going for a ride in a hot air balloon at the Canowindra Balloon Challenge. While the balloon is rising at a speed of 2.0 m/s, you throw a small ball down at a speed of 5.0 m/s relative to your body. A person who measures the ball's velocity at the instant of release will find that the ball's velocity relative to the ground at that instant is O a. 3.0 m/s, up. O b. 2.0 m/s, up. O c. 3.0 m/s, down. O d. 12.8 m/s, down. O e. 5.0 m/s, down.