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1) Up until now we have always ignored air resistance. We should now add it. Let...
please explain the answer 1) Up until now we have always ignored air resistance. We should...
please explain the answer
1) Up until now we have always ignored air resistance. We should now add it. Let us just think of simple 1-dimensional problem, dropping a ball of mass m from a height H but 2 with air resistance. We can model the air resistance as a force proportional to the velocity, fair = bv. The coefficient bis a constant. (For this problem you can use calculus textbooks or wolfram alpha to do the calculus.) What are...
please explain the answer. 1) Up until now we have always ignored air resistance. We should...
please explain the answer.
1) Up until now we have always ignored air resistance. We should now add it. Let us just think of simple 1-dimensional problem, dropping a ball of mass m from a height H but 2 with air resistance. We can model the air resistance as a force proportional to the velocity, fair = bv. The coefficient bis a constant. (For this problem you can use calculus textbooks or wolfram alpha to do the calculus.) What are...
Please answer the last 4 bullet points step by step. Again the last 4 bullet points....
Please answer the last 4 bullet points step by step. Again the
last 4 bullet points.
k III.pdf 1) Up until now we have always ignored air resistance. We should now add . Let us just think of simple 1-dimensional problem, dropping a ball of mass m from a height H but 2 with air resistance. We can model the air resistance as a force proportional to the velocity, fair = bu. The coefficient b is a constant. (For this...
By now, you may be getting sick of hearing that we may ignore air resistance" in...
By now, you may be getting sick of hearing that we may ignore air resistance" in problems. We did that before because we did not have knowledge of forces. But now... Let's see just how powerful air resistance is on Earth. Assuming that we are standing on the surface of Earth, let's find the fractional difference between the maximum heights reached for each case. 1. Simple case first: a ball thrown upwards without air. Find an expression for the maximum...
Solve & Explain Steps Please. 6. Consider the problem of a free falling object with mass M. Assume that only gravity and air resistance act upon the object. (a) As a first model, let us suppos...
Solve & Explain Steps Please.
6. Consider the problem of a free falling object with mass M. Assume that only gravity and air resistance act upon the object. (a) As a first model, let us suppose that the air resistance is proportional to the velocity v(t) of the object. Newton's second law of motion gives the DE M)go),20 More exactly, this is a first order linear DE with constant coefficients: Mw,(t) + ku(t) = Mg , t 2). Suppose that...
1. Falling Ball with Air Resistance (15 points) A round bal is dropped from a height for which ai...
1. Falling Ball with Air Resistance (15 points) A round bal is dropped from a height for which air resistance is not negligible by the time the ball hits the ground A. On what dimensional parameters does the ball's impact speed depend? Define al symbols and give their dimensions B. Show at least three different ways that the impact speed may be made dimensionless C. On what dimensionless parameter(s) does the dimensionless speed depend? 2. Laminar Jet Toward Plate (15...
This is a differential equation result of 5. Physical spring-mass systems almost always have some damping...
This is a differential equation
result of 5. Physical spring-mass systems almost always have some damping friction, air resistance, or a physical damper, calleda dashpot Because damping is primarily a friction force, we assume it is proportional to the velocity of the mass and acts in the opposite direction. So the damping force is given by -bx' for some constant b>0.Again applying Newton's second law, the differential equation becomes mx" +bx'+kc = 0 .(1) as a Determine the auxiliary equation...
A Pendulum with air resistance Pendula are widely used in applications including accelerometers and seismometers and...
A
Pendulum with air resistance Pendula are widely used in applications including accelerometers and seismometers and are a model system to study vibrations and damping. Consider a pendulum comprising a small mass m that is connected by a thin massless rod of length l to a hinged support The hinge is frictionless but the mass experiences air resistance as it swings. The air drag force on the mass is Fdrag-kv |v, where v is the velocity of the mass and...
Here R is the sphere's radius, p is the density of air, v is the velocity, and C is the called co...
need help changignt the two second oder equations into four
first order equations
here R is the sphere's radius, p is the density of air, v is the velocity, and C is the called coefficient of drag (a property of the shape of the moving object, in this case a here). a) Starting from Newton's second law, F ma, show that the equations of motion for the position (x, y) of the cannonball are 2m where m is the mass...
When an object falls in Earth's gravitational field (think of a skydiver jumping from an airplane or a marble falling in a tank of oil)
When an object falls in Earth's gravitational field (think of a skydiver jumping from an airplane or a marble falling in a tank of oil), it accelerates due to the force of gravity. If gravity were the only force acting on the object, then all objects-elephants and feathers alike would fall at the same rate. But gravity is not the only force present. Moving objects also experience resistance or friction from the surrounding medium; it would be air resistance for...
please explain the answer
1) Up until now we have always ignored air resistance. We should now add it. Let us just think of simple 1-dimensional problem, dropping a ball of mass m from a height H but 2 with air resistance. We can model the air resistance as a force proportional to the velocity, fair = bv. The coefficient bis a constant. (For this problem you can use calculus textbooks or wolfram alpha to do the calculus.) What are...
please explain the answer.
1) Up until now we have always ignored air resistance. We should now add it. Let us just think of simple 1-dimensional problem, dropping a ball of mass m from a height H but 2 with air resistance. We can model the air resistance as a force proportional to the velocity, fair = bv. The coefficient bis a constant. (For this problem you can use calculus textbooks or wolfram alpha to do the calculus.) What are...
Please answer the last 4 bullet points step by step. Again the
last 4 bullet points.
k III.pdf 1) Up until now we have always ignored air resistance. We should now add . Let us just think of simple 1-dimensional problem, dropping a ball of mass m from a height H but 2 with air resistance. We can model the air resistance as a force proportional to the velocity, fair = bu. The coefficient b is a constant. (For this...
By now, you may be getting sick of hearing that we may ignore air resistance" in problems. We did that before because we did not have knowledge of forces. But now... Let's see just how powerful air resistance is on Earth. Assuming that we are standing on the surface of Earth, let's find the fractional difference between the maximum heights reached for each case. 1. Simple case first: a ball thrown upwards without air. Find an expression for the maximum...
Solve & Explain Steps Please.
6. Consider the problem of a free falling object with mass M. Assume that only gravity and air resistance act upon the object. (a) As a first model, let us suppose that the air resistance is proportional to the velocity v(t) of the object. Newton's second law of motion gives the DE M)go),20 More exactly, this is a first order linear DE with constant coefficients: Mw,(t) + ku(t) = Mg , t 2). Suppose that...
1. Falling Ball with Air Resistance (15 points) A round bal is dropped from a height for which air resistance is not negligible by the time the ball hits the ground A. On what dimensional parameters does the ball's impact speed depend? Define al symbols and give their dimensions B. Show at least three different ways that the impact speed may be made dimensionless C. On what dimensionless parameter(s) does the dimensionless speed depend? 2. Laminar Jet Toward Plate (15...
This is a differential equation
result of 5. Physical spring-mass systems almost always have some damping friction, air resistance, or a physical damper, calleda dashpot Because damping is primarily a friction force, we assume it is proportional to the velocity of the mass and acts in the opposite direction. So the damping force is given by -bx' for some constant b>0.Again applying Newton's second law, the differential equation becomes mx" +bx'+kc = 0 .(1) as a Determine the auxiliary equation...
A
Pendulum with air resistance Pendula are widely used in applications including accelerometers and seismometers and are a model system to study vibrations and damping. Consider a pendulum comprising a small mass m that is connected by a thin massless rod of length l to a hinged support The hinge is frictionless but the mass experiences air resistance as it swings. The air drag force on the mass is Fdrag-kv |v, where v is the velocity of the mass and...
need help changignt the two second oder equations into four
first order equations
here R is the sphere's radius, p is the density of air, v is the velocity, and C is the called coefficient of drag (a property of the shape of the moving object, in this case a here). a) Starting from Newton's second law, F ma, show that the equations of motion for the position (x, y) of the cannonball are 2m where m is the mass...
When an object falls in Earth's gravitational field (think of a skydiver jumping from an airplane or a marble falling in a tank of oil), it accelerates due to the force of gravity. If gravity were the only force acting on the object, then all objects-elephants and feathers alike would fall at the same rate. But gravity is not the only force present. Moving objects also experience resistance or friction from the surrounding medium; it would be air resistance for...
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