Given a design velocity, V = 35 mph and a stopping friction factor, f = 0.348, compute the (total: P&R + braking) stopping distance on a level grade.
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- The drawing shows a skateboarder moving at 6.90 m/s along a horizontal section of a track that is slanted upward by 0 = 46.0° above the horizontal at its end, which is 0.510 m above the ground. When she leaves the track, she follows the characteristic path of projectile motion. Ignoring friction and air resistance, find the maximum height H to which she rises above the end of the track. Number 6.90m/s i H 0.510m UnitsSolve it correctly please. I will rate with 2-3 ratings. But need correct answer.What is the dot product A•B if A = 2x - 3y and B = 15x + 10y?
- Suppose that 5 J of work is needed to stretch a spring from its natural length of 32 cm to a length of 48 cm. (a) How much work (in J) is needed to stretch the spring from 36 cm to 40 cm? (Round your answer to two decimal places.) J (b) How far beyond its natural length (in cm) will a force of 10 N keep the spring stretched? (Round your answer one decimal place.) cm6) In a downhill ski race, surprisingly, little advantage is gained by getting a running start. (This is because the initial kinetic energy is small compared with the gain in gravitational potential energy even on small hills.) To demonstrate this, find the final speed in m/s and the time taken in seconds for a skier who skies 64.0 m along a 29° slope neglecting friction for the following two cases. (Enter the final speeds to at least one decimal place.) (a) starting from rest final speed _____m/s time taken _____s (b) starting with an initial speed of 3.00 m/s final speed _____m/s time taken _____s (c) Does the answer surprise you? Discuss in detail why it is still advantageous to get a running start in very competitive events.The dot product (3i - j)•B is?
- . Use the definition of scalar product, a two vectors given by a = 5.0 + 5.0 b = ab cos 0, and the fact that a b = axbx + aby + a2b₂ to calculate the angle between the + 5.0k and b = 7.01 +3.0 + 3.0k.A vertical right-circular cylindrical tank measures 28 ft high and 14 ft in diameter. It is full of liquid weighing 62.4 lb/ft³. How much work does it take to pump the liquid to the level of the top of the tank? Set up the integral that gives the work required, in ft-lb, with y = 0 corresponding to the bottom of the tank. (Type an exact answer, using as needed.)The skateboarder in the drawing starts down the left side of the ramp with an initial speed of 4.9 m/s. Neglect nonconservative forces, such as friction and air resistance, and find the height h of the highest point reached by the skateboarder on the right side of the ramp. ✔ < i
- The skateboarder in the drawing starts down the left side of the ramp with an initial speed of 5.0 m/s. Neglect nonconservative forces, such as friction and air resistance, and find the height h of the highest point reached by the skateboarder on the right side of the ramp. + 2.5A skier, starting from rest, moves from the top of a ramp to the bottom. If the vertical drop is 3.12 meters, what is the speed in m/s of the skateboarder at the bottom of the ramp. (neglect friction). Can you help with a visual aid; and then, explain the mechanics of calculation.previous problem: 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 is 3.85 m, and x and y are measured in meters as usual. Suppose the block starts from rest on the track, at x = -1.99 m. What will the block s speed be when it reaches x = 0? New problem Same type of track as in the previous problem, this time with d = 4.73 m. The block starts at x = 0, and is given a push to the left with an initial speed of 7.57 m/s, so it starts sliding up the track to the left. At what value of x will the block reverse direction and start sliding back down? -3.72 m 3.72 m 2.92 m -2.92 m