Be sure to answer all parts. Calculate the minimum uncertainty in the momentum of an object for which the uncertainty in position is 3 Å. × 10 kg · m/s Enter your answer in scientific notation. To what minimum uncertainty in velocity does this correspond if the particle is a neutron (mass 1.0087 amu)? m/s To what minimum uncertainty in velocity does this correspond if the particle is an electron (mass 5.486 × 10−4 amu)? × 10 m/s Enter your answer in scientific notation.

Foreshadowing. the prologue states that this is the story of "star-crossed lovers." there are four strong foreshadowings of evil in act 1. identify at least two foreshadowings and explain their purpose.

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.

If a hiker that weighs 600 newtons climbs a 50 meter hill, how much gravitational potential energy has the hiker gained?