if the force increases from 100N to 500N using: An analytical integration technique
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The extension,
y, of a material with an applied force, F, is given by y=eF×1×10-3.
- Calculate the work done if the force increases from 100N to 500N using:
- An analytical integration technique
- A numerical integration technique
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Solved in 3 steps
- A bucket begins holding 25 kgs of sand. The bucket is to be lifted to the top of a 20 meter tall building by a rope with density 0.3 kg/m. 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 and rope to the top of the building. Use 9.8 m/s² for gravity.A leaky 10-kg bucket is lifted from the ground to a height of 15 m at a constant speed with a rope that weighs 0.5 kg/m. Initially the bucket contains 45 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 15-m level. Find the work done. (Use 9.8 m/s2 for g.)A 51-kg box is being pushed a distance of 7.0 m across the floor by a force P→ whose magnitude is 185 N. The force P→ is parallel to the displacement of the box. The coefficient of kinetic friction is 0.21. Determine the work done on the box by each of the four forces that act on the box. Be sure to include the proper plus or minus sign for the work done by each force.
- A bucket is filled with sand so that the total mass (sand and bucket) is 15 kgs. The bucket is to be lifted to the top of a 30 meter tall building by a rope of negligible weight. However, the bucket has a hole in it, and leaks 0.2 kgs of sand each meter it is lifted. Find the work done lifting the bucket to the top of the building. JoulesAdd-ons Help В IUA 三三三三|三|三▼三 Roboto 12 A 55 kg person walks up three flights of stairs a distance of 10 m. How much work was done by student climbing the stairsA 39.0 kg box initially at rest is pushed 5.15 m along a rough, horizontal floor with a constant applied horizontal force of 140 N. If the coefficient of friction between box and floor is 0.300, find the following. (a) the work done by the applied force The correct answer is not zero. J (b) the increase in internal energy in the box-floor system due to friction The correct answer is not zero. J (c) the work done by the normal force (d) the work done by the gravitational force (e) the change in kinetic energy of the box The correct answer is not zero. J (f) the final speed of the box The correct answer is not zero. m/s
- A 7.80-g bullet moving at 600 m/s penetrates a tree trunk to a depth of 4.50 cm. (a) Use work and energy considerations to find the average frictional force that stops the bullet. ____________________ N(b) Assuming the frictional force is constant, determine how much time elapses between the moment the bullet enters the tree and the moment it stops moving._____________________ sA tank has the shape of an inverted right circular cone with height 9m and radius 18m. It is filled with 5m of hot chocolate. Assume that the density of the hot chocolate is 1450kg/m^3 and g=9.8m/s^2. Find the work required to empty the tank by pumping the hot chocolate over the top of the tank.Work = _________Joules.