Blocks of granite are to be hauled up a 15 slope out of a quarry, and...

 

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Blocks of granite are to be hauled up a 15° slope out of a quarry, and dirt is to be dumped into the quarry to fill up old holes. To sim- plify the process, you design a system in which a granite block on a cart with steel wheels (weight w₁, including both block and cart) is pulled uphill on steel rails by a dirt-filled bucket (weight w₂, including both dirt and bucket) that descends vertically into the quarry How must the weights w₁ and w₂ be related in order for the system to move with constant speed? Ignore friction in the pulley and wheels, and ignore the weight of the cable. Blocks of granite are to be hauled up a 15° slope out of a quarry, and dirt is to be dumped into the quarry to fill up old holes. To sim- plify the process, you design a system in which a granite block on a cart with steel wheels (weight w₁, including both block and cart) is pulled uphill on steel rails by a dirt-filled bucket (weight w₂, including both dirt and bucket) that descends vertically into the quarry How must the weights w₁ and w₂ be related in order for the system to move with constant speed? Ignore friction in the pulley and wheels, and ignore the weight of the cable.

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The force F needed to move the system with constant speed is the difference between the pulling ... View the full answer