- An object of mass 20 kg is released from rest 1000 m above the ground and allowed to fall under the influence of gravity Assuming the force due to air resistance is proportional to the velocity of the object with proportionality constant b 50 N-secim determine the equation of motion of the object When will the object strike the ground? Assume that the acceleration due to gravity is 9 81 m/sec and let it represent the distance the defect has fallen in 1 seconds Determine the equation of motion of the object
- An object of mass 20 kg is released from rest 1000 m above the ground and allowed to fall under the influence of gravity Assuming the force due to air resistance is proportional to the velocity of the object with proportionality constant b 50 N-secim determine the equation of motion of the object When will the object strike the ground? Assume that the acceleration due to gravity is 9 81 m/sec and let it represent the distance the defect has fallen in 1 seconds Determine the equation of motion of the object
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![An object of mass 20 kg is released from rest 1000 m above the ground and allowed to fall under the influence of gravity Assuming the force due to air resistance is
proportional to the velocity of the object with proportionality constant b-50 N-secim determine the equation of motion of the object When will the object strike the ground?
Assume that the acceleration due to gravity is 981 m/sec and let xit) represent the distance the defect has fallen in 1 seconds
Determine the equation of motion of the object](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3dc8e866-e91f-4a92-a0e8-b968402f2cbe%2Fb65929bb-aad1-439a-bf49-fd01984316eb%2F2qt856_processed.jpeg&w=3840&q=75)
Transcribed Image Text:An object of mass 20 kg is released from rest 1000 m above the ground and allowed to fall under the influence of gravity Assuming the force due to air resistance is
proportional to the velocity of the object with proportionality constant b-50 N-secim determine the equation of motion of the object When will the object strike the ground?
Assume that the acceleration due to gravity is 981 m/sec and let xit) represent the distance the defect has fallen in 1 seconds
Determine the equation of motion of the object
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Step 1: Define Newton's second law of motion:
VIEWStep 2: Know the forces acting on the object:
VIEWStep 3: Find the differential equation for the given problem:
VIEWStep 4: Solve the differential equation to obtain the velocity function:
VIEWStep 5: Find the vertical displacement function of the object:
VIEWStep 6: Find the vertical displacement function for the given mass:
VIEWStep 7: Find the instant at which the object hits the ground:
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