ball is dropped from an initial height, h0. The “sad ball” comes to rest without visibly bouncing when it strikes the tabletop. The “h

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##L2Q3 The position of a vehicle's center of mass can be determined experimentally. To do this, it is necessary to measure the total weight of the car as well as the forces acting under the front wheels. Fig. 1 illustrates the situation in which the forces acting under the front wheels can be measured experimentally. Considering the data in the figure, determine: a) the position of the center of mass; (b) the force acting on each of the rear wheels. Consider known l, m, and Fz1. 2F C al 2F21 mg

1. You are setting up for a pool party that has a 2.5 m high slide that launches swimmers into the pool. To make it more exciting, you decide to string a steamer across the pool so that the swimmers just clear it at their maximum height after leaving the slide. The end of the slide is 0.75 m above the ground and is directed 20° above the horizontal. By watching people use the slide, you know the horizontal distance to place the streamer, so you only need to determine the maximum height. You are also curious how fast the swimmers are going when they enter the pool. In your estimates, you can assume that the swimmer starts at rest at the top of the slide and ignore friction on the slide and air resistance. 2.5 m 0.75 m streamer If the angle of the slide were different (say 15°) would either the maximum height or the speed when entering the water be different? Note: Use conservation of energy to answer these questions.

Solve 1st problem

4) Calculations for the red dog food can rolling down the slope in the Rube Goldberg design are as follows (we will name it Step 1): Step 1 (calculations are given): Coefficient of friction → μ = 0.14 Mass of the object → m = 368 gm = 0.368kg Initial height of the object (red can on top of books) → h=8.89, cm = 0.0889 m Slope of the file folder → 0 = 14° Travelling Distance by the object = 11.5 inch = 0.292 m And length that the object will travel = h/sin 0 = 0.0889/ sin14° = 0.367 m So, the radius of the object → R=0.367 -0.292 = 0.075 m Initial Velocity of red can → u = 0 Velocity and Force Calculations for Step 1: -From total mechanical energy conservation: → Initial mechanical energy = final mechanical energy → mg - In case of pure rolling, the velocity of the center of mass: → V = Ro = 0.075 × 14.28 1.07 m/s. -Hence the change in force acting on the object for the travel: →F=mgsine = 0.368 × 9.81 × sin14° =0.89 N Step 2: The Selective Step (Step 2) in this design and for the…