A crate of 64 kg simply stands on the moving cart with constant acceleration a. The height from the center of gravity to the cart, L, is 1.2 m, and the angle 0= 9°. What is the maximum acceleration a (in m/s2) the cart can have without sliding on the cart? The coefficient of static friction between the crate and the cart is Ug = 0.56. Please pay attention: the numbers may change since they are randomized. Your %3D answer must include 3 places after the decimal point. Take g = 9.81 m/s². 0.5 m |0.5 m • G a Your Answer: Answer

Hello. Answer is s=0.42m (how far the spring goes down before stopping the object falling). I am uploading this question as the example answer's working out was bad I find it hard to follow. I would like to see working out how the calculations equate to the answer being s=0.42m

Three engineers are independently estimating the spring constant of a spring, using the linear model specified by Hooke’s law. Engineer A measures the length of the spring under loads of 0, 1, 2, 4, and 6 lb, for a total of five measurements. Engineer B uses the same loads, but repeats the experiment twice, for a total of 10 independent measurements. Engineer C uses loads of 0, 2, 4, 8, and 12 lb, measuring once for each load. The engineers all use the same measurement apparatus and procedure. Each engineer computes a 95% confidence interval for the spring constant.       If the width of the interval of engineer A is divided by the width of the interval of engineer B, the quotient will be approximately _____.     Numeric Response

Q16. A 3.4-kip car speeds up uniformly from 0 to 57 mph in 39 seconds up the 15⁰ incline. If the engine has an efficiency of e = 0.73, what is the power input (in hp) when the car's speed reaches that final speed? (1 hp = 550 ft-lb/s) Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point. Take g = 32.2 ft/s². Your Answer: Answer 15°

A boxer delivers a hard blow to the chin of his opponent. The inertia of the boxer's hand (with glove) and forearm is 3.0 kg, and the inertia of the opponent's head is 6.5 kg. You learned in neurobiology class about 10 J of extra internal energy will render an opponent wobbly - kneed, and you guess that about half of the converted energy will end up in the opponent's head. Assuming a coefficient of restitution e = 0.20, with what speed does the boxer's fist have to contact the opponent's head in order to deliver the punch?

3. For this series of 5 questions, a block is released from the position shown with a certain initial velocity. It then slides down the smooth (friction-less) path for which the function is given in the image. You will be asked to solve for different things. Please pay attention: the numbers may change from problem to problem since they are randomized. 4) If the block has mass of 65 kg and its initial velocity is 2.3 m/s (at x = 3 m), determine the normal force N which the path exerts on the block right before it reaches the spring (at x = 0). Your answer must include 1 place after the decimal point and the proper unit. Take g = 9.81 m/s². k = 5 kN/m puudu Your Answer: Answer units y = 0.25x² 3 m v X