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You are working in the distribution center of a large online shopping site. Efforts are being made to increase the number of packages per unit time that are being loaded onto a conveyor belt to be carried to waiting trucks. But the motor driving the conveyor belt is having difficulty keeping up with the increased demands. Your supervisor has asked you to determine the requirements for a new motor that can provide enough power to keep the conveyor belt moving smoothly under the increased loading rate. You are given the following information: The design goal is to have 50.0-kg packages loaded onto the belt at several locations at an average rate of 5.00 packages per second. The bell moves at a horizontal speed of 1.35 m/s. Humans at the various locations along the belt place the package on the belt so that it is initially at rest relative to the floor of the building just before being dropped from negligible height onto the belt. Your task is to determine the minimum power the driving motor must have to accelerate these packages and keep the bell moving at constant speed.
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Chapter 8 Solutions
Physics for Scientists and Engineers, Volume 2
- A satellite in a circular orbit around the Sun uses a square solar panel as a power source. The edges of the panel are 2.127 m long. The panel is 24.91% efficient. The satellite is 5.101×107 km from the Sun. How much power does the solar panel provide to the satellite? Assume that the total power output of the Sun is 3.937×1026 W.arrow_forwardAn ice cube is placed in a microwave oven. Suppose the oven delivers 135 W of power to the ice cube and that it takes 34200 J to melt it. How long does it take for the ice cube to melt? t= minsarrow_forwardTwo blocks of mass 5.00kg and 3.00kg are connected via a pulley, as shown in the picture. The system is given an initial speed of vi=0.840 m/s and comes to rest after each block travels 1.20m. Use the conservation of energy principle to calculate the coefficient of kinetic friction between the 5.00 kg lock and the table's surface. Assume a massless and frictionless pulley. v₂ = 0.84 m/s 5 kg 1.2 m 3 kg Viarrow_forward
- A 41.6 kg subject is on a cycle ergometer pedaling at 65 rpm against 25 N of resistance. What is the subjects work rate (in SI units; include your units)arrow_forwardYour answer is partially correct. The loaded cab of an elevator has a mass of 3.60 × 10³ kg and moves 220. m up the shaft in 20.0 s at constant speed. At what average rate does the force from the cable do work on the cab? Number i 388.08 Units W Varrow_forwardSome gliders are launched from the ground by means of a winch, which rapidly reels in a towing cable attached to the glider. What average power must the winch supply in order to accelerate a 185-kg ultralight glider from rest to 24.3 m/s over a horizontal distance of 56.2 m? Assume that friction and air resistance are negligible, and that the tension in the winch cable is constant. Number i Unitsarrow_forward
- Lightbulb A was found out to give 30.0W of power, producing the same brightness as lightbulb B operating at 9.50W. The Lifetime of A is 9 000 hours and can be bought at Php229.00. B has lifetime of 750 hours and can be bought at Php39.00. Which bulb is more efficient in energy saving? Determine the total amount saved when choosing the efficient bulb over the same period of time. Assume that Meralco charges Php9.65 per kWh.arrow_forward11.a. Consider the standard problem of raising a mass m through a height h near Earth's surface. Remind yourself of the first year/high school formula for the work done. b. Redo this problem by writing a vector field describing gravity near Earth's surface and using the more general expression for work involving the integral of a dot product: W=Fodr. Be careful about signs.arrow_forward1 KWH is equal to А. 3.6 х 109 J В. 3.6 х 10* J С. 3.6 х 108 J D. 3.6 x 105 Jarrow_forward
- The Apollo spacecraft took off on July 16, 1969 and made a lunar landing (landing on the Moon) on July 20 of the same year. When it took off from Earth it had a mass of 30,320 kg. At the height of 68.5 km it was traveling with a speed of 10.203 km/h. What force did the main motors exert to achieve this speed?arrow_forwardA child is pulling a cart massing 2.5 kg forward through a distance of 10 meters at a constant speed of 0.55 m/sec. As he does so, internal friction due to the rusty wheel bearings is acting to exert a constant resistant force of 4.9 N, opposite the direction of motion. a. How much work is being done by the gravitational force on the cart? b. How much work is the child doing on the cart as she pulls the cart through the distance? c.What is the magnitude of the effective coefficient of friction the child is pulling against with the cart?arrow_forwardAn electric winch causes an elevator to move between floors of a ten-story building. The mass of the elevator with a maximum load of passengers is at most 500. kg. The elevator moves a speed of 0.304 m/s taking a time of 115.s to travel the distance of 35.0 m. What is the minimum power rating this winch would have? Select one: a. b. C. d. 1.49 x 10³ W 1.30 x 10¹ W 4.90 x 10³ W 1.72 x 105 Warrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
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