A bucket full of sand has a mass of 15 kg (including the bucket and the sand).
Question:
A bucket full of sand has a mass of 15 kg (including the bucket and the sand). The bucket is to be lifted to the top of a building 10 meters tall by a rope of negligible weight. However, the bucket has a hole in it, and leaks 0.3 kgs of sand each meter it is lifted. Find the work done lifting the bucket to the top of the building. Hint: Force = (mass)(acceleration). For this problem, the force will be a product where a=9.8ms2=9.82.
Question 2
A bucket that has a mass of 25 kg when filled with sand needs to be lifted to the top of a 15 meter tall building. You have a rope that has a mass of 0.1 kg/m that must be secured to the bucket. It takes 1 meter of rope to secure the bucket. Once the bucket reaches the top of the building it only has mass 23 kg because there was a hole in the bottom and sand was leaking out at a constant rate while it was being lifted to the top of the building. Find the work done lifting the bucket (sand and rope) to the top of the building. Hint: Force = (mass)(acceleration). For this problem, the force will be a product where a=9.8ms2=9.82.
Vector Mechanics for Engineers Statics and Dynamics
ISBN: 978-0073398242
11th edition
Authors: Ferdinand Beer, E. Russell Johnston Jr., David Mazurek, Phillip Cornwell, Brian Self