Aprofessor has to haul a cart up a ramp. the ramp has an angle of about 10 degrees and is about 5 meters long. his initial speed at the bottom of the ramp is 4.5 m/s, and the cart has a mass of about 80 kg. how hard does he have to push on the cart so that at the top of the ramp, its speed has not dropped below 3.6 m/s? neglecting friction, what is the magnitude of the minimum force he has to exert on the cart?

Part f - example: finding two forces (part i) two dimensional dynamics often involves solving for two unknown quantities in two separate equations describing the total force. the block in (figure 1) has a mass m=10kg and is being pulled by a force f on a table with coefficient of static friction îľs=0.3. four forces act on it: the applied force f (directed î¸=30â above the horizontal). the force of gravity fg=mg (directly down, where g=9.8m/s2). the normal force n (directly up). the force of static friction fs (directly left, opposing any potential motion). if we want to find the size of the force necessary to just barely overcome static friction (in which case fs=îľsn), we use the condition that the sum of the forces in both directions must be 0. using some basic trigonometry, we can write this condition out for the forces in both the horizontal and vertical directions, respectively, as: fcosî¸â’îľsn=0 fsinî¸+nâ’mg=0 in order to find the magnitude of force f, we have to solve a system of two equations with both f and the normal force n unknown. use the methods we have learned to find an expression for f in terms of m, g, î¸, and îľs (no n).

How does the amount of energy required to hold each proton and neutron in the nucleus compare to the energy released when they are removed?

What organization and environment is described above?