Constant power P is delivered to a car of mass m by its engine. Show that If air resistance can be ignored, the distance covered in a time t by the car, starting from rest, is given by s = (8P/9m)¹/2,312.
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Q: (a) How high (in m) a hill can a car coast up (engine disengaged) if friction is negligible and its…
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Q: (a) What is the efficiency of an out-of-condition professor who does 2.30 ✕ 105 J of useful work…
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Q: What is the efficiency of an out-of-condition professor who does 2.30 ✕ 105 J of useful work while…
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Q: (a) How high (in m) a hill can a car coast up (engine disengaged) if friction is negligible and its…
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![Constant power P is delivered to a car of mass m by its engine. Show that If air resistance can be
ignored, the distance covered in a time t by the car, starting from rest, is given by s = (8P/9m)¹/2,3/2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F06ec20f7-85be-43ae-b464-db53cadb95db%2F96712051-ffa5-474e-9c48-a9554303307b%2Fxzjn7vn_processed.png&w=3840&q=75)
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- In a time of T seconds, a motorcycle can accelerate from rest to the speed v. (a) Determine the amount of time (in terms of 7) required for it to accelerate from v to 6v if the power output remains constant. At = (b) Determine the speed of the motorcycle (in terms of v) 3T after starting. Vf=A car of mass 1580kg traveling at 22m/s is at the foot of a hill that rises 110m in 3km. At the top of the hill the speed of the car is 11 m/s. Find the average power delivered by the car's engine, neglecting any frictional losses.If an automobile engine delivers 46.4 hp of power, how much time will it take for the engine to do 5.40 ✕ 105 J of work? (Hint: Note that one horsepower, 1 hp, is equal to 746 watts.)
- A mass m is acted on by a force F,(x) = Ax' from x = 0 to x = L. (a) If m starts from rest, what is its speed at x = L? (b) Beyond x = L, F, = 0, but the mass encounters a surface with coefficient of kinetic friction 4. How far does m go before coming to rest? [Find the answer using the work-KE theorem.]You throw a tennis ball (mass 0.0570 kg) vertically upward. It leaves your hand moving at 15.0 m/s. Air resistance cannot be neglected, and the ball reaches a maximum height of 8.00 m. (a) By how much does the total mechanical energy decrease from when the ball leaves your hand to when it reaches its maximum height? (b) What is the magnitude of the average force of air resistance?(a) What is the efficiency of an out-of-condition professor who does 2.00 × 105 J of useful work while metabolizing 510 kcal of food energy? (Enter your answer as a percentage. Enter a number.) % (b) How many food calories (in kcal) would a well-conditioned athlete metabolize in doing the same work with an efficiency of 20%? (Enter a number.) kcal
- (a) What is the efficiency of an out-of-condition professor who does 2.30 × 105 J of useful work while metabolizing 490 kcal of food energy? (Enter your answer as a percentage. Enter a number.) % (b) How many food calories (in kcal) would a well-conditioned athlete metabolize in doing the same work with an efficiency of 25%? (Enter a number.) kcalA 500 kg dragster reaches a speed of 90 m/s on level ground, starting from rest. Its efficiency is only 8.20% in producing kinetic energy, because of friction and its design for high power without regard to efficiency. (a) How many gallons of fuel does it use during this acceleration, given there are 1.30 x 10 3 of energy per gallon? gal (b) How much waste beat (in 3) is produced? 3 (c) Once it is brought back to rest (assuming the engine shuts off at the end of the race), how much waste heat (in 3) has been produced?A 2,200-lb sports car with a power of 135 hp can accelerate from zero to 110 mph. How longapproximately will it take to accomplish this?
- Let W = (3.40 x 10° J) In(V/V). Solve for the unknown quantity in each of the following cases. (a) the final volume V, is nine times the initial volume V, %3= (b) the initial volume is 1.00 m and the work W is 3.70 x 10° ) 31 V; =A child of mass m = 25 kg starts from rest and slides without friction from a height h along a slide next to a pool. She is launched from a height h/5 into the air over the pool. (a) Using conservation of energy, find the speed of the child at the end of the slide (b) Using your result of part (a) and equations related to a projectile, find ymax as shown in the picture, in terms of h and θ.(a) How long (in s) will it take an 865 kg car with a useful power output of 38.0 hp (1 hp = 746 W) to reach a speed of 13.0 m/s, neglecting friction? (Assume the car starts from rest.) 2.88 X S