A suspended mass of 20 grams located at 210° in the force table is the same as
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A suspended mass of 20 grams located at 210° in the force table is the same as:
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- A pulley is attached to one end of a rough plank, which makes an angle of 34° with the horizontal. A box is held at rest on the plank by a string that is attached to the box and passes over the pulley. A bucket of water is attached to the other end of the string and hangs freely. The coefficient of static friction between the plank and the box is 0.8. The box remains at rest but is on the point of slipping up the plank. The bucket of water has mass 7.5 kg. pulley box bucket of water 34° Model the box and the bucket of water as particles, the string as a model string and the pulley as a model pulley. (a) By considering the forces acting on the bucket of water, find the magnitude of the tension in the string (in newtons) in terms of g and the magnitude of the acceleration due to gravity (in ms-2). (b) State the four forces that act on the box and draw a force diagram showing them, including the angles that show their directions. (c) Take the unit vector i to be in the direction up the…What is the average force exerted on the nail?(a) A sphere made of wood has a density of 0.810 g/cm3 and a radius of 7.50 cm. It falls through air of density 1.20 kg/m3 and has a drag coefficient of 0.500. What is its terminal speed (in m/s)? m/s (b) From what height (in m) would the sphere have to be dropped to reach this speed if it fell without air resistance? Read It Need Help?
- Researchers have found that a gecko’s foot iscovered with hundreds of thousands of small hairs (setae) thatallow it to walk up walls and even across ceilings. A single foot pad,which has an area of 1.0 cm2, can attach to a wall or ceiling with aforce of 11 N. (a) How many 250-g geckos could be suspended fromthe ceiling by a single foot pad? (b) Estimate the force per squarecentimeter that your body exerts on the soles of your shoes, andcompare with the 11 N>cm2 of the sticky gecko foot.The seed pods of maple trees, also known as "helicopter seeds," spin as they fall, generating a leading edge vortex at the outer edge of each wing-like seed pod. This effect, similar to the vortices generated by hummingbird wings, can generate a sufficient lift force to keep the seed floating in air, allowing it to be dispersed by the wind. The figure below shows a pair of maple seeds L = 3.40 cm in length, with an angle of 70.0⁰ separating the seeds, as shown. If the outer edge of the seeds must rotate with a speed of 1.25 m/s for sufficient lift to be generated, what is the centripetal acceleration of the outer edge of the seeds (in m/s²) as they fall? (Enter the magnitude. Assume the seeds are symmetric about the vertical axis as they fall, as in the figure.) =what would the average force be on the pier exerted by the ship?
- The metal head of a hammer is loose. To tighten it, you drop the hammer down onto a table. Should you (a) drop the hammer with the handle end down, (b) drop the hammer with the head end down, or (c) do you get the same result either way?A person starts from rest at the top of a large frictionless spherical surface, and slides into the water below (see the drawing). At what angle does the person leave the surface? (Hint: When the person leaves the surface, the normal force is zero.) Number Units 8In downhill speed skiing a skier is retarded by both the air drag force on the body and the kinetic frictional force on the skis. Suppose the slope angle is 0 = 42.0°, the snow is dry snow with a coefficient of kinetic friction Hk = 0.0410, the mass of the skier and equipment is m = 88.0 kg, the cross-sectional area of the (tucked) skier is A = 1.7O m², the drag coefficient is C = 0.150, and the air density is 1.20 kg/m3. (a) What is the terminal speed? (b) If a skier can vary C by a slight amount dC by adjusting, say, the hand positions, what is the corresponding variation in the terminal speed? Give your answer in terms of the given values and dC (need derivative for given values).
- a 55 kg rock climber is in a lie-back climb along a fissure, with hands pulling on one side of the fissure and feet pressed against the opposite side. The fissure has width w = 0.20 m, and the center of mass of the climber is a horizontal distance d = 0.40 m from the fissure. The coefficient of static friction between hands and rock is m1 = 0.40, and between boots and rock it is m2 = 1.2. (a) What is the least horizontal pull by the hands and push by the feet that will keep the climber stable? (b) For the horizontal pull of (a), what must be the vertical distance h between hands and feet? If the climber encounters wet rock, so that m1 and m2 are reduced, what happens to (c) the answer to (a) and (d) the answer to (b)?To make an object start moving on a surface with friction, will it usually require more, less or the same amount of force as to keep it moving on the same surface?A bull shark has a reduced weight (or “submerged weight” = W - B) of 4Nin seawater and 12N in freshwater, i.e., as found in rivers (bull sharks have been known to swim into rivers from the ocean – including the Mississippi river!). How much more lift force needs to be generated when transitioning from sea to freshwater? Assuming that CL stays the same, calculate how much faster the shark has to go in order to swim horizontally in freshwater (i.e., relative to the swim speed in saltwater)?