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1) You have a summer job working for a company that designs amusement park rides. Their latest rollercoaster design involves a circular loop-the-loop with a radius of 12 meters. Neglecting friction, what's the minimum energy required for ensuring that the 1440 kg rollercoaster car is able to complete its trip around the loop?
2) One potential design for the rollercoaster involves having the car roll down from the top of a straight ramp (angled at 25 degrees above the horizontal) before it goes into the loop-the-loop. What is the minimum height required for this hill if there is a small friction coefficient of 0.15 for the full length of the hill?
3) An alternative design involves using a power supply to accelerate the car along a straight stretch of track. The power supply can deliver energy at an average rate of 35 kW over the required distance. How long should the straight track be assuming that it can be made approximately frictionless and that the car starts from rest?
A gymnast is performing a floor routine. In a tumbling run she spins through the air, increasing her angular velocity from 3 to 5 revs/s while rotating through ½ of a rev. How much time does this maneuver take
A parallel-plate capacitor has plates separated by 0.72 mm. what is the potential difference between the plates
A toaster uses a Nichrome heating wire. When the toaster is turnedon at 20° C, the initial current is 1.50 A. A few secondslater, the toaster warms up and the current now has a value of 1.28A.
A golf ball is struck at ground level. The speed of the golf ball as a function of time is shown in the figure below, where t = 0 at the instant the ball is struck. What is the maximum height above the ground level attained by the ball
A spring with negligible mass stretches
A ball is dropped from rest at the top of a 480 meter tall building. What is the total time that the ball takes to reach the ground
There are 19 physics problems generated from a pool of hundreds and 145 minutes to complete. Answer all problems to one decimal point and include units unless otherwise instructed differently. CAUTION: do not use commas in numbers for answers. For e..
In an RLC series circuit, these three elements are connected in series: a resistor of 67.0 ?, a 33.0-mH inductor, and a 0.0480-F capacitor. Find the resonant frequency for the circuit
Your toaster has a power cord with a resistance of 2.2×10?2 connected in series with a 9.9 nichrome heating element. How much power is dissipated in the heating element
A 4.0 kg mass is connected by a light cord to a 3.0kg mass ona smooth surface. The pulley rotates about a frictionlessaxle and has a moment of inertia of 0.5kg m^2 and a radius of.30m. Assuming that the cord does not slip on the pulley,
A box of mass 12.5kg rests on the flat floor of a truck. The coefficients of friction between the box and floor are Us = 0.19 and Uk = 0.16. How far does the truck travel in this time
a transparent oil with index of refraction 1.29 spills on the surface of water index of refraction 1.33 producing a
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