Spectators watch a bicycle stunt rider travel off the end of a 57.5° ramp, rise to the top of his trajectory and, at that instant, suddenly push his bike horizontally away from him so that he falls vertically straight down, reaching the ground 0.600 s later. How far (in m) from the rider does the bicycle land if the rider has a mass mider 76.0 kg and the bike has a mass mbike = 15.0 kg? Neglect air resistance and assume the ground is level.
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- Calculate the speed (in m/s) a spherical rain drop would achieve falling from 2.50 km in the absence of air drag and with air drag. Take the size across of the drop to be 3 mm, the density to be 1.00 ✕ 103 kg/m3, and the surface area to be πr2. (Assume the density of air is 1.21 kg/m3.) (a) in the absence of air drag = ? m/s (b) with air drag = ? m/sAn object of mass m-0.500 kg is suspended from the ceiling of an accelerating truck as shown in the figure. Taking a- 3.00 mis, the angle that the string makes with the vertical is elosest to O 0° O 34° O 22° O 45° O 17°A ball is launched horizontally from a cliff with an initial velocity of u m s-'. After two seconds, the ball's velocity is in the direction 45° from the horizontal. What is the magnitude of the velocity in m s¯' at two seconds? (А) и (В) 1.5 u (C) 19.6 (D) 27.7
- Solve all parts , i vll upvote , Asap plzzzThe leg and cast in Figure P4.20 weigh 220 N (w1). Determine the weight w2 and the angle α needed so that no force is exerted on the hip joint by the leg plus the cast.True or False? Consider carts colliding on a straight level track. It is impossible for two identical carts moving at different speeds to collide and stick together and end up not moving.
- A spacecraft flying horizontally over the surface of the moon at an elevation of 1500m with a speed of 350m/s, drops a package with a mass of 1200kg to astronauts on the surface. Use gm= 1.6m/s2 for the acceleration due to gravity on the Moon. a)How long does it take the package to hit the surface after it is dropped? b)How far ahead (distance) of the package’s landing spot should the package be released? c)What is the velocity of the package just before it hits the surface? d)What is the magnitude of the velocity of the package just before it hits the surface of the Moon?Calculate the range of the baseball in the presence of the air drag. Assume that initial speed of the baseball is 50m/s, initial angle = 30 degrees, mass m=0.142kg. Coefficient of air drag k=0.0013kg/s.Each propeller of the twin-screw ship develops a full-speed thrust of F = 375 kN. In maneuvering the ship, one propeller is turning full speed ahead and the other full speed in reverse. What thrust P must each tug exert on the ship to counteract the effect of the ship's propellers? Assume a = 50 m, b = 125 m, c = 12 m. + D O Answer: P = i CBD +³1 KN 2 F 4T
- An old car tire (I=MR2)isplaced at a vertical height of 2.5 m on a slopethat makes a 18°angle with the horizontal.It is released from rest and rolls without slipping to the bottom of the slope. What is the tire’s velocity at the bottom? Also calculate acceleration.A basketball is launched with an initial velocity Voat an angle 0 = 40° above the horizontal follows the trajectory shown in the figure. The ball enters the basket 0.6 s after it is launched. The horizontal distance '1' of the ball from it was launched to the pole is 4 m. Calculate the initial velocity v, of the ball.A 70 kg person on a merry go round is spinning with speed 5 m/s. If they experience a centripetal force of 583N, how far from the center of the merry go round are they sitting? Express in meters.