Imagine that you are located on Earth while a spaceship travels from Earth to the star Vega at constant velocity of 0.8c.
The following items describe quantities that, according to Einstein’s special theory of relativity, would be either larger (or longer), smaller (or shorter), or the same as their rest values. (Note that by "rest value," we mean the value you would find if both you and the spaceship were at rest on Earth.)

Match each item to the correct category.

1) one second on your clock as seen by spaceship passengers
2) one second on a spaceship clock as seen by you
3) speed of the spaceship's headlight as measured by you
4) mass of spaceship as measured by you
5) distance to Vega as measured by spaceship passengers
6) length (in the direction of motion) of the spaceship as measured by you
7) your mass as measured by spaceship passengers

Astudent throws a water balloon with speed v0 from a height h = 1.76 m at an angle θ = 21° above the horizontal toward a target on the ground. the target is located a horizontal distance d = 9.5 m from the student’s feet. assume that the balloon moves without air resistance. use a cartesian coordinate system with the origin at the balloon's initial position. (a) what is the position vector, rtarge t, that originates from the balloon's original position and terminates at the target? put this in terms of h and d, and represent it as a vector using i and j. (b) in terms of the variables in the problem, determine the time, t, after the launch it takes the balloon to reach the target. your answer should not include h. (c) create an expression for the balloon's vertical position as a function of time, y(t), in terms of t, vo, g, and θ. (d) determine the magnitude of the balloon's initial velocity, v0, in meters per second, by eliminating t from the previous two expressions.

Which composition of water moves to begin a deepwater current?

Hat is the most commonly cited cause of occupational injuries in the healthcare sector? a. repositioning of patients b. manual pipetting c. slips and trips d. workplace violence