Model of maximum walking speed. A walking person is modelled as a mass m and its center of gravity rotates around a circle of radius l (leg+hip length) with a speed v. The leg touches the ground. The speed v of the walking person is at the top of the trajectory. Derive the maximum speed v that still allows contact with the ground. Express it in terms of the variables. Consider now that the system is submerged in a liquid. Model the effect of the liquid as a buoyant force that is x fraction of the weight force. Neglect moment of inertia and derive the new “walking speed” in terms of x and the variables. Neglect drag.

Q: A tube of length L is filled completely with an incompressible liquid of mass M and closed at both…

A:

Q: Suppose point A is approximately 6 feet above ground and that at time t = 0 the ball is at point A.…

A: The total time of flight of the projectile is the time t1 taken from O to C plus time taken t2 to…

Q: Consider a metal sphere falling through a liquid such as water.  Which of the following spheres will…

A: The forces which are acting on an object falling in water are gravitational force downwards and drag…

Q: A fire truck raises its bucket so that a firefighter can spray water on the fire from above. The…

A: horizontal distance of truck from house = 33 m H = 9 m initial horizontal speed = 20 m/sUsing…

Q: Please solve this question as fast as possible.

A:

Q: In medicine, it is often important to monitor the blood flow in certain areas of the body. However,…

A:

Q: Proteinuria, excess protein in the urine, is a symptom of many kidney diseases. A marker for…

A:

Q: (e) just clearly explain your work: a drop in pressure could lead to the collapse of the narrow…

A: (e) If there is a pressure drop happens in the narrow section of the artery, blood will not be able…

Q: A man weighing 675 n is floating in fresh water with 2% of his body’s volume above the surface of…

A: Question: find the volume of the man’s body?

Q: A kids rocket team launches one smaller rocket through a guide tube 1.7 m long. The rocket has a…

A: Given : s = 1.7 m m = 450 g = 0.450 kg F = 265 N

Q: A fun toy for all ages is the bottle rocket. The one in the picture was made by adding fins to a…

A:

Q: When a person sits up, increasing the vertical position of their brain by 34.5 cm34.5 cm, the heart…

A: The objective of the question is to calculate the gain in gravitational potential energy when a…

Q: PROBLEM 1. Determine the shape of the surface of an incompressible fluid subject to a gravitational…

A:

Q: The old rubber boot filled with water to a height of H = 0.35 m, has a small leak at a height of h =…

A: Given data:    H=0.35 m h=0.12 m

Q: Two objects, A and B, have the same volume and are completely submerged in a liquid, although A is…

A: Buoyant force act on the objects when they are submerged into the liquid.It depends on the volume of…

Q: Two water jets collide and form one homogeneous jet as shown in the figure below. Determine the…

A:

Q: How long will it take Guard A to wind in a lane? a. b. How long will it take Guard B to wind in a…

A: Given Diameter of machine=0.5 m  Radius=0.25 m Length of pool=50 m

Q: If the speed of the ball when it reaches the surface is √gd, what is the ratio of the density of the…

A:

Q: Suppose we have a container with a layer of water covered by a layer of oil (D = 700 kg/m3 ).  Let’s…

A:

Q: A truncated cone of length L cm traveling through a fluid at a speed of 8.38 m/s is shown. The…

A: The diameter of the narrow end: The diameter of the wider end: the drag force: The speed of the cone…

Q: ead, some medical de erable number of free

A: The Hall effect is the production of a voltage difference (the Hall voltage) across an electrical…

Q: Suppose that you release a small ball from rest at a depth d below the surface in a pool of water…

A: Given: The velocity of the ball at the surface is v=gd The initial velocity of the ball: u=0 (at…

Q: A professor drops a water bottle whose lid is closed from certain a certain height. The water bottle…

A: Under normal circumstances, water comes out of holes due to the pressure of the water (caused by…

Q: Lurking alligators. An alligator waits for prey by floating with only the top of its head exposed,…

A: Given:-  The mass m = 125 kg  The top head surface has an area of A = 0.180 m2   If the alligator…

Q: A bucket of water rotates with angular velocity ω. After some time a stationary state is created so…

A:

Q: You are walking by a river flowing at 1.67 m/s and decide to step into it to cool off. (a) Estimate…

A: You are walking by a river flowing at 1.67 m/s and deside to step in to cool off.Density of water is…

Q: The following container is spun with an angular velocity of 12 rad/s after being 45% filled with…

A: Given, Angular velocity = 12 rad/s diameter is 250 mm Height is 200 mm and 45% of 200 mm is 90 mm

Q: Calculate the minimum amount of work needed to move a 400 kg rocket from Earth's surface to the…

A: Work done = change in gravitational potential energy

Q: As the summer intern for a company that manufactures nozzles for garden hoses, you are working on an…

A: