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physics

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In the design of a supermarket, there are to be several ramps connecting different parts of the store. Customers will have to push grocery carts up the ramps. A grocery cart has a mass of 30kg. The coefficient of friction is .10. Assume that the shoppers will push the cart parallel to the incline of the ramp. No one complains if the force required to push the cart at constant speed is no more than 50N. Will the slope of 5 degrees be too steep? How much horizontal distance must a 5 degree ramp cover in order to achieve a vertical rise of .25m? Is this a reasonable distance?

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