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A single-stage rocket is launched vertically from rest, and its thrust is programmed to give the rocket a constant upward acceleration of 6 m/s^2 . If the fuel is exhausted 20 s after launch, calculate the maximum velocity and the subsequent maximum altitude h reached by the rocket.
Determine the force required to lift the block of stone that weighs 200 lb. The rollers are frictionless and the static coefficient between all other surfaces is 0.3. Neglect the size and weight of the wedges.
What is the pH value of water containing 0.005 M of an acid with a acid dissociation constant of 0.001 M. The dissociation of the acid in water can be represented as: HA H+ + A-
A 300 mm diameter pipe is placed in a 3 m deep rectangular trench that is 0.60 m wide. The trench is backfilled with clay that has a bulk unit weight of 18.8 kN/m3. Compute the dead load due to backfill that the pipe must support.
When working with flow through pipes , engineers typically have to determine if the flow is laminar or turbulent. Compute the Reynolds number for each of the cases below and determine if the flow is laminar or turbulent. Assume all of the conduits..
Consider your cooking gas contains 80% propane and 20% butane. While burning on a cooktop, assume it burns with 200% excess air. If no heat is lost, determine the maximum possible flame temperature.
Air can be assumed as a di-atomic ideal gas. Find the final temperature and the amount of work ( in kW) required for air compression at a rate of 100 mol/s , from an initial condition of 1 bar an 25 C to 10 bar; for the following ways:
A sky diver with a mass of 75 kg jumps from an aircraft. The aerodynamic drag force acting on the sky diver is known to be Fd = kV^2, where k = 0.228. Determine the maximum speed of the free fall for the sky diver and the speed reached after 100 m..
Describe the crystalline or atomic structure of the following minerals: 1) Brucite 2) Gibbsite 3) Bentonite 4) Illite
the 100 kg crate is originally at rest on the smooth horizontal surface. If a 200 newton force, acting at an angle of 45 degrees, is applied to the crate for 10 seconds. Determine the final velocity of the crate.
The force F = 90i + 60j + 20k acts at the point (0,0,40). Compute the moment of the force about a line through the origin that has direction cosines (1/sqrt(3), 1/sqrt(3), 1/sqrt(3), 1/sqrt(3)).
A soil sample with a water content of 14.5% and unit weight of 128.2 lb/cu. ft. was dried to a unit weight of 118.8 lb/cu. ft. without changing its void ratio. What is its new water content (in %)?
Air can be assumed as a di-atomic ideal gas. Find the final temperature and the amount of work ( in kW) required for air compression at a rate of 100 mol/s , from an initial condition of 1 bar an 25 C to 10 bar; for the following ways.
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