a system suffers an increase in internal energy of 80 j and at the same time has 50 j of work done on it. what is the heat change of the system?

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.

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The results of huy's eye exam show that he is nearsighted. which explanation should huy expect to hear? "you need convex lenses to shorten the distance that light takes to focus in your eyes." "you need concave lenses to shorten the distance that light takes to focus in your eyes." "you need convex lenses to lengthen the distance that light takes to focus in your eyes." "you need concave lenses to lengthen the distance that light takes to focus in your eyes."