A 1-kilogram block slides down a frictionless inclined plane 2.5 meters high. What is its velocity at the bottom of the plane? (Assume gravitational acceleration is 9.8 m/s2.)
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- A particle starts from the origin at t = 0 with a velocity of (16 - 12) m/s and moves in the xy plane with a constant acceleration of = (3.0 - 6.0) m/s2. What is the speed of the particle at t = 2s?OK, same sort of track, but now with d = 2.80 m. Now suppose the blocks starts on the track at x = 3.20 m. The block is given a push to the left and begins to slide up the track, eventually reaching its maximum height at x = 0, at which point it turns around and begins sliding down. What was its initial speed in this case? 8.47 m/s 5.99 m/s 10.12 m/s 4.83 m/sA man on a motorcycle plans to make a jump off of a ramp. If he leaves the ramp with a speed of 36.0 m/s and has a speed of 33.7 m/s at the top of his trajectory, determine his maximum height (h) (in m) above the end of the ramp. Ignore friction and air resistance. _______m
- Two snowy peaks are at heights H = 800 m and h = 740 m above the valley between them. A ski run extends between the peaks, with a total length of 2.91 km and an average slope of 0 = 32° (see the figure). (a) A skier starts from rest at the top of the higher peak. At what speed will he arrive at the top of the lower peak if he coasts without using ski poles? Ignore friction. (b) Approximately what coefficient of kinetic friction between snow and skis would make him stop just at the top of the lower peak? (a) Number i (b) Number i h 0 Units Units 0 H ←An object is hovering about the surface of the earth. It begins to experience a gravitational acceleration of 2.0 m/s2. How high is it above the surface of the earth?A toad with mass of 280 g leaps into the air to catch a fly. If the toad's jump was at an angle of 35 degrees with respect to the horizontal, and with an initial velocity of 5.1 m/s, what is its speed (in m/s) when it reaches its maximum vertical displacement?
- A ball of 5kg is shot vertically upward with 19.6m/s. What is the maximum height it can reach (in meter)?A small block slides down a frictionless track whose shape is described by y = (x^2) /d for x<0 and by y = -(x^2)/d for x>0. The value of d = 2.67m, and x and y are measured in meters as usual. Suppose the block starts on the track at x = 0. What minimum initial velocity (moving to the right) must the block have such that it will leave the track at x = 0 and go into freefall? 7.24 m/s 5.12 m/s 9.89 m/s 9.01 m/sA ball is thrown upward at a velocity of 35 m/s. What is its velocity after 5.0 s, assuming negligible air resistance? O 14 m/s downward O 35 m/s downward 84 m/s downward 84 m/s upward O 14 m/s upward