2. An object of mass m= 2.1 x 10³ kg follows a curved path with a constant radius r 1.2 km. If the average angular acceleration is 32, find the net radial force F. 3. Let Po be the reference pressure at the top of a liquid with density p=0.9885 kg m-3 on Earth. What is the difference in pressure at 2.5 m below the top of the liquid?
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- The following container is spun with an angular velocity of 12 rad/s after being 45% filled with water. Determine the pressure that would be at the base of the container at the most outer diameter if it has a diameter of 250mm, a height of 200mm and the container is sealed. Ø250mm Ø200mm P= ?How to calculate: Consider three poles with circular cross sections. There cross sectional radii (r) and masses (m) described below. Which one exerts largest pressure on the ground if poles stand on their circular edges. Which one exerts the least pressure? a. Pole 1: r=2.25 cm, m=200 kg b. Pole 2: r=2.75 cm, m=250 kg c. Pole 3: r=3.25 cm, m=300 kg Given that area of a circle is r^2 where r is the radius.3. Lucy is going skin diving for coral off the coast of Mexico in sea water with density of 1025 kg/m^3. How great is the pressure pushing on Lucy at a depth of 20.0 m? a. 2.3×10^6 Pa b. 1.6×10^6 Pa c. 4.4×10^6 Pa d. 2.8×10^6 Pa e. None of the above
- A hippopotamus is napping under water with only the end of its snoot above the surface. It has a mass of 1100 kg and a volume of 1.0 m3. How much force in Newtons does the hippo exert on the ground? (fresh water, density 1g/cm3)? A. 10 N B. 100 N C. 1,000 N D. 1,100 N E. 10,000 N5. Eileen is floating on her back in the beautiful blue Caribbean during her spring vacation. If Eileen’s density is 980 kg/m^3 and she has a volume of 0.060m^3, what is the buoyant force that supports her in the sea water of density 1025 kg/m^3? a. 580 N b. 600 N c. 560 N d. 550 N e. None of the aboveE15. Water emerges from a faucet at a speed of 1.5 m/s. After falling a short distance, its speed increases to 3 m/s as a result of the gravitational acceleration. By what number now would you multiply the original cross-sectional area of the stream to find the area at the lower position?hoto
- -500 mm 16.13. completely filled barrel and its contents have a combined weight of 100 kg. A cylinder C is connected to the barrel at a height h =550mm. as shown. Knowing µ, = 0.40 and Hg = 0.35, determine the maximum weight of C so the barrel will not tip. %3D 900 mm -•G h 450 mm Solution: A В Free-body of barrelDrag Force: A spherical particle of radius 5.9 cm and a mass of 229 g is moving through a fluid of the same density. (This means you can ignore the effects of gravity.) 1 The position of the particle is given by x (t) = In (1+ bvot), where x is its position and t is the elapsed time. The initial speed vo is 17.4 m/s, and the constant b is 0.4 m-1. (b) What is the velocity of the particle after 2.9 seconds? (c) What is the acceleration of the particle after 2.9 seconds?Some jellyfish can eject stingers with remarkable force and speed. One species does this by building up a 15 MPa gauge pressure that pushes against the base of a 2.0-μm-diameter stylet, forcing it outward.a. What force does the excess pressure exert on the stylet?b. The mass set into motion is a tiny 1.0 × 10-12 kg. What is the resulting acceleration?
- A highway curve is super elevated at 7deg. Find the radius of the curve if there is no lateral pressure on the wheels of a car at a speed of 40mph Select the correct response: 565.60m I don't have any answer 465.60m 265.60m 365.60m 165.60m1. A uniform sphere of lead (ρ = 11 300 kg / m3) and one of aluminum (ρ = 2 700 kg / m3) have the same mass. What is the relationship between the radius of the aluminum sphere and that of the lead sphere?