shows the pedal system of a bicycle. If a cyclist applies force on the pedal (position of RA) from rest and accelerates at an angular acceleration of 4 rad/s2. How far has the bicycle moved in meters afte R-10cm
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- On Mars, the acceleration due to gravity is 6.64 m/s2. What would a rock’s speed be 6 s after you dropped it on Mars?Car goes at velocity 14 m/s before it start braking. When braking, its acceleration is known a(v)=-0.04*v^2. How many meters it goes in 2 seconds after braking started?A ceiling fan is moving at a constant rotation rate and makes one revolution in 1.3 s. The distance from the fan's center to the outermost tip of a blade is 1 m. A fly F is resting right at the tip. What is the fly's acceleration?
- The elevator car, including passengers, has a mass of 1800 kg. Each floor of the building is separated by 4 m (i.e., the ground floor is at 0 m, the 1st floor is at 4 m, the 2nd floor is at 8 m, etc.) and the top floor is the 10th floor. The elevator goes up from the ground floor, starting at rest. It accelerates at a constant rate of 0.25 m/s2 up to the 5th floor, then decelerates at the same rate (acceleration of -0.25 m/s2 ) until coming to a stop at the 10th floor. a. At which floor (or, if you prefer, what height from the ground) does the elevator have the maximum total energy? b. Assuming that friction and drag forces are negligible, how much work is done by the tension force (in the cable that pulls the elevator up) in moving the elevator from the ground floor to the top floor? c. Assuming instead that friction and drag forces are constant over the entire ascension, and equal to 250 N, how much work is done by the tension force in moving the elevator from the ground floor to…The rotation movement of the OA stem, around O, is defined by the relation θ = 1⁄2 π (4 t - 3 t2 ) (Figure 7a_11). Cursor B slides over the bar so that its distance from point O is given by r = 1.25 t2 - 0.9 t3 . In the above equations θ is given in radians, r in meters and t in seconds. Determine for cursor B (a) its speed,(b) its total acceleration and (c) its acceleration relative to OA, at time t = 1 s.How much force is needed to give a 10 kg object an acceleration of 20 m/s2?
- . To promote their new album, Black Pink decided to launch a satellite into orbit that will intercept all airwaves and play their songs worldwide. To do this, he needs to mount a 200 [kg] satellite onto an 850 [kg] rocket. It blasts off vertically from a launchpad with a constant net upward acceleration of 3.80 [m/s2]. When it has reached a height of 680 [m], the satellite was released, and the rocket blew up shortly after, due to a system failure. Assume that the satellite was not damaged after the explosion. (a) What is the maximum height that the satellite will reach above the launchpad? (b) How much time will elapse after system failure before the satellite comes crashing down the launch pad? (c) How fast will the satellite be moving just before it crashes?1. The acceleration due to gravity at a certain level is 9.78 m/s2. This acceleration varies by 8.28 x 10 -4 m/s2 for every 100 m ascent. a. Find the height of an object above this level where the acceleration due to gravity is 9.70 m/s2. b. Find the weight of an object relative to this point whose mass is 80 kg at a height of 10,000 meters.A truck is moving with a speed of 60 m/s. The driver applies the brakes and slows the vehicle (constant acceleration) to 40m/s while traveling a distance of 250 m. What was the acceleration of the truck?
- As seen in the figure, three masses are connected to each other with the system set up on a table. Table friction and kinetic coefficient of friction is 0.35. (g = 10m / s2). b) Find the acceleration of each mass. c) Find the tensile forces on the ropes. d) How many meters will the object of 6kg go down after t = 3s after the system is released?This most likely is made to be a probelm about mx''+bx'+kx=f(t) m = mass b = friction k = spring constant 4. A mass weighing four pounds stretches a spring 24 in. Suppose the mass is atequilibrium and is set into motion with a velocity of 6 inches per second. The mass is in a mediumwhere friction is small, and we assume it is zero. Note that the acceleration due to gravity near theearth’s surface where the experiment takes place can be taken as 32 ft/s2.(a) Suppose that in addition to the conditions described above, a hammer strikes the mass everyπ/2 seconds starting at t = 0. A delta function with impulse of 1 pound-second models theforce of each blow to the mass. Find the function x(t) for the displacement from equilibrium infeet of the mass at time t in seconds. Express x(t) as a piecewise defined function without the use ofunit step or Heaviside functions and such that in each time window it is a different multiple of the samesinusoidal function.(b) Now assume the same spring-mass…Two blocks 1 and 2 are connected by a rope over a pulley as shown. The pulley is very light (massless) and rotates with essentially no friction. Calculate the mass of block 1, m1, given that the mass of block 2 is m2=5.5 kg and that block 2 moves and accelerates downwards at 3.57 m/s2 when θ=35∘ and μk=0.4. I think that I need to be using Newtons second law but I just dont know how to solve this. Can you please help?