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A roller-coaster car may be represented by a block of mass 50.0 kg. The car is released fromrest at a height h = 45.0 m above the ground and slides along africtionless track. The car encounters a loop of radius R = 15.0 mat ground level, as shown. As you will learn in the course of this problem, the initial height 45.0 m is great enough so that the carnever loses contact with the track. Find an expression forthe kinetic energy K of the car at the top of the loop. Find the minimum initial height at which the car can be released that still allows the car to stay in contact with the track at the top of the loop.
a 100.0 m long rod with a diameter of 3.0 mm has a charge of 1028 c. what is the approximate electric field 4 mm from
A train is traveling due west with a velocity of 101.2 mph and then makes a turn to the northwest with a velocity of 95 mph
A Ferris wheel with a radius of 14.0 m rotates at a constant rate, completing one revolution in 30.0 s. What is the apparent weight of a 60 passenger when she is at the bottom of the wheel.
Young's modulus of nylon is 3.7 × 109 N/m2. A force of 6.0 × 105 N is applied to a 1.5-m length of nylon of cross sectional area 0.25 m squared
A 4kg cart is initially moving at 3m/s on a frictionless track. It then hits an incline and stops 2m later. what is the net work done on the cart
A parallel plate capacitor has an electric field between its two plates of 525,000 V/m. The two plates are 2.2x10-5 m apart. find the speed of the proton when it reaches the negative plate
In order to manufacture these coffee tables, the company would need to incur $525,000 in fixed costs for new equipment. Calculate the break-even point of the coffee tables in units sold.
What is the maxium power that can be supplied by the outlets without blowing the fuse? How many 1,200 W appliances can be plugged into thesockets without blowing the fuse?
A textbook of mass 2.10kg rests on a frictionless, horizontal surface. A cord attached to the book passes over a pulley whose diameter is 0.190m, What is the tension in the part of the cord attached to the book
Consider the glass prism in the figure below, for which ? = 22° and ? = 68°. What is the smallest angle ?1 for which a laser beam will undergo total internal reflection
A Li-6 nucleus has a mass of 6.015121 u The mass of a single proton is 1.007276 u, What is the binding energy of lithium
Consider three capacitors having capacitances of 5.51, Find their equivalent capacitance if they are connected for both: in parallel and in series
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