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the atmospheric drag resistance is Fp - kv? where is a constant, the parachute acceleration is...
3) The velocity v(t) of a skydiver falling to the ground is governed by the equation...
3) The velocity v(t) of a skydiver falling to the ground is governed by the equation m dv/dt mg-kv, where g is the acceleration due to gravity, and k>0 is the drag constant associated with air resistance a) Find the analytical solution for V(t), assuming v(0) 0 b) Find the limit of v(t) as t goes to infinity. This is known as the terminal velocity. c) Give a graphical analysis of this problem, and re-derive the formula for the terminal...
Suppose an object falls from a great height on a planet where the acceleration constant of...
Suppose an object falls from a great height on a planet where
the acceleration constant of gravity is g
= 7.29. Suppose that the resistance of
the atmosphere is proportional to the square of the speed of the
object with constant of proportionality k
= 0.36. Establish and solve an Initial
Value Problem to express the velocity of the object as a function
of time. Find the terminal velocity of the object. Graph this
function. Then express the fallen distance...
is ball on Moon, where the acceleration due to gravity is 1/6(g -9.8) and air resistance...
is ball on Moon, where the acceleration due to gravity is 1/6(g -9.8) and air resistance is negligible, is hit directly upward and returns to the same level 85 s later, (a) How high above its origjinal point did the ball go? (b) How fast it moving just a after it was hit? 7. Two train cars are on a straight, horizontal track. The car A starts at rest and is put in motion with a constant acceleration of 2.00...
The drag force Fp on a smooth sphere falling in water depends on the sphere speed...
The drag force Fp on a smooth sphere falling in water depends on
the sphere speed V, the sphere density P. the density p and dynamic
viscosity of water, the sphere diameter Dand the gravitational
acceleration g. Using dimensional analysis with p. V and D as
repeating variables, determine suitable dimensionless groups to
obtain a reneral relationship between the drag force and the other
variables. If the same sphere were to fall through air, determine
the ratio of the drag...
kv2 where ao is the constant acceleration resulting from the engine thrust and kv2 is the...
kv2 where ao is the constant acceleration resulting from the engine thrust and kv2 is the accelera ion due to On its takeoff roll, the airplane starts from rest and accelerates according to a-ao aerodynamic drag. If ao = 2.2 m/s, k = 0.000064 m.1, and v is in meters per second, determine the design length of runway required for the airplane to reach the takeoff speed of 262 km/h if the drag term is (a) excluded and (b) included...
1. A rocket is launched vertically from the Earth, and the thrust (pushing force) from the engines...
1. A rocket is launched vertically from the Earth, and the thrust (pushing force) from the engines is directed upward, and has a magnitude of 5.00 x 106 N. The mass of the rocket is initially 2.00 x 105 kg. (a) What is the initial acceleration of the rocket, assuming you can neglect air resistance? (b) After the rocket has been in flight for a while, burning and exhausting a lot of fuel, its mass has decreased to 1.20 x 105 kg, and...
The spring constant (k) is equal to the slope multiplied by the acceleration due to gravity....
The spring constant (k) is equal to the slope multiplied by the acceleration due to gravity. Show why this is the case. Note: (K=slope*g) & slope of particular problem is 0.2621.
c. It has tangential (linear) acceleration that points in the same direction as the velocity, and...
c. It has tangential (linear) acceleration that points in the same direction as the velocity, and a decreasing centripetal acceleration d. It has tangential (linear) acceleration that point opposite the velosity, and a constant centripetal acceleration QUESTION 3 A 53.5 kg parachutist jumps from an airplane and falls to Earth with a drag force proportional to the square of the speed, R-CV. Take C -0.220 kg/m (with the parachute closed) and C - 22.0 kg/m (with the chute open). What...
A rocket, initially at rest on the ground, accelerates straight upward from rest with constant acceleration...
A rocket, initially at rest on the ground, accelerates straight upward from rest with constant acceleration 49.0 m/s2 . The acceleration period lasts for time 7.00 s until the fuel is exhausted. After that, the rocket is in free fall. Find the maximum height ymax reached by the rocket. Ignore air resistance and assume a constant acceleration due to gravity equal to 9.80 m/s2 .
1. If a sky-diver jumps out of a plane, two forces will act on him, gravity...
1. If a sky-diver jumps out of a plane, two forces will act on him, gravity and air resistance. If we assume air resistance is proportional to the velocity, we get the total force on the sky diver will be F = −gm − kv, where g is a acceleration due to gravity on the surface of the earth, m is the mass of the sky-diver, v is the velocity of the sky-diver, and k is constant of proportionality for...
3) The velocity v(t) of a skydiver falling to the ground is governed by the equation m dv/dt mg-kv, where g is the acceleration due to gravity, and k>0 is the drag constant associated with air resistance a) Find the analytical solution for V(t), assuming v(0) 0 b) Find the limit of v(t) as t goes to infinity. This is known as the terminal velocity. c) Give a graphical analysis of this problem, and re-derive the formula for the terminal...
Suppose an object falls from a great height on a planet where
the acceleration constant of gravity is g
= 7.29. Suppose that the resistance of
the atmosphere is proportional to the square of the speed of the
object with constant of proportionality k
= 0.36. Establish and solve an Initial
Value Problem to express the velocity of the object as a function
of time. Find the terminal velocity of the object. Graph this
function. Then express the fallen distance...
is ball on Moon, where the acceleration due to gravity is 1/6(g -9.8) and air resistance is negligible, is hit directly upward and returns to the same level 85 s later, (a) How high above its origjinal point did the ball go? (b) How fast it moving just a after it was hit? 7. Two train cars are on a straight, horizontal track. The car A starts at rest and is put in motion with a constant acceleration of 2.00...
The drag force Fp on a smooth sphere falling in water depends on
the sphere speed V, the sphere density P. the density p and dynamic
viscosity of water, the sphere diameter Dand the gravitational
acceleration g. Using dimensional analysis with p. V and D as
repeating variables, determine suitable dimensionless groups to
obtain a reneral relationship between the drag force and the other
variables. If the same sphere were to fall through air, determine
the ratio of the drag...
kv2 where ao is the constant acceleration resulting from the engine thrust and kv2 is the accelera ion due to On its takeoff roll, the airplane starts from rest and accelerates according to a-ao aerodynamic drag. If ao = 2.2 m/s, k = 0.000064 m.1, and v is in meters per second, determine the design length of runway required for the airplane to reach the takeoff speed of 262 km/h if the drag term is (a) excluded and (b) included...
c. It has tangential (linear) acceleration that points in the same direction as the velocity, and a decreasing centripetal acceleration d. It has tangential (linear) acceleration that point opposite the velosity, and a constant centripetal acceleration QUESTION 3 A 53.5 kg parachutist jumps from an airplane and falls to Earth with a drag force proportional to the square of the speed, R-CV. Take C -0.220 kg/m (with the parachute closed) and C - 22.0 kg/m (with the chute open). What...
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