You are abducted by aliens and find yourself locked in a large room on some strange planet. To pass the time, you decide to do some experiments using a ball-and-chain that you find on the floor. You make the following estimates: mBALL approximately equals 7 kg, mCHAIN approximately equals 0.5 kg, and CHAIN approximately equals 2 m. (a) When you hold the free end of the chain above your head and allow the ball to swing like a pendulum, you use your wristwatch to measure the period as T approximatel

You are abducted by aliens and find yourself locked in a large room on some strange planet. To pass the time, you decide to do some experiments using a ball-and-chain that you find on the floor. You make the following estimates: mBALL approximately equals 7 kg, mCHAIN approximately equals 0.5 kg, and CHAIN approximately equals 2 m. (a) When you hold the free end of the chain above your head and allow the ball to swing like a pendulum, you use your wristwatch to measure the period as T approximatel

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter11: Collisions

Section: Chapter Questions

Problem 11PQ

See similar textbooks

Similar questions

You are abducted by aliens and find yourself locked in a large room on some strangeplanet. To pass the time, you decide to do some experiments using a ball-and-chain thatyou find on the floor. You make the following estimates:mBALL approximately equals 7 kg, mCHAIN approximately equals 0.5 kg, and CHAIN approximately equals 2 m. (a) When you hold the free end of the chain above your head and allow the ball to swinglike a pendulum, you use your wristwatch to measure the period as T approximately equals 4s. What is theacceleration due to gravity on this planet? Give explanation to your answer (b)If the ball accidentally hits a wall, how long does it take for this jolt in the chain totravel up to your hand?
During a spacewalk, Dmitri finds himself floating 3 m from his space station's airlock. He only has one minute of air left. He has one detachable 10 kg toolkit, which he can toss to propel himself toward safety. How fast will he need to move to reach the airlock before he runs out of air?
Students are given two spherical balls made of different materials, but of identical mass and diameter to experiment with. Each ball is dropped from an initial height, h0. The “sad ball” comes to rest without visibly bouncing when it strikes the tabletop. The “happy ball” bounces up to a final height h, where h<h0 A fellow student wants to use one of the balls in a carnival game where cups are knocked over by a thrown ball. Which ball should they use, happy or sad? In a clear, coherent, paragraph-length response that may also contain figures and/or equations, explain what physics principles explain why the happy ball bounces higher off of the tabletop and explain which ball makes the better choice as a projectile in the carnival game. COMPLETE THE TABLE BELOW A Answer the Question B Basic Physics C Cite Information D Draw it all together
Explorers in the jungle find an ancient monument in the shape of a large isosceles triangle as shown. The monument is made from tens of thou- sands of small stone blocks of density = 800 kg/m3 . The monument is 15.7 m high and 64.8 m wide at its base and is everywhere 3.60 m thick from front to back. Before the monument was built many years ago, all the stone blocks lay on the ground. (a) Choosing a coordinate system with x = 0 at the center of the pyramid, y = 0 at the base of the pyramid, and z = 0 at the face of the pyramid shown in the diagram, determine the coordinates of the center of mass of the pyramid in the x, y, and z directions. (b) How much work did laborers do on the blocks to put them in position while building the entire monument? Note: The gravitational potential energy of an object–Earth system is given by Ug = MgyCM, where M is the total mass of the object and yCM is the elevation of its center of mass above the chosen reference level.
The great limestone caverns were formed by dripping water. (a) If water droplets of 0.03 mL fall from a height of 5 m at a rate of 10 per minute, what is the average force exerted on the limestone floor by the droplets of water during a 1-min period?
To keep the calculations fairly simple, but still reasonable, we shall model a human leg that is 92.0 cm long (measured from the hip joint) by assuming that the upper leg and the lower leg (which includes the foot) have equal lengths and that each of them is uniform. For a 70.0 kg person, the mass of the upper leg would be 8.80 kg, while that of the lower leg (including the foot) would be 5.30 kg. Take that x-axis is directed horizontally and the y- axis is directed vertically downward. ▾ ▾ Part A ▾ Find the x-coordinate of the center of mass of this leg, relative to the hip joint, if it is stretched out horizontally. Zc = ▾ Part B Submit Yc= Part C ΤΥΠΙΑΣΦ Submit Zc = Find the y-coordinate of the center of mass of this leg, relative to the hip joint, if it is stretched out horizontally. Part D Submit Request Answer Vez A ■ ΠΑΣΦ 6 A • IE Request Answer ΠΑΣΦ A Find the x-coordinate of the center of mass of this leg, relative to the hip joint, if it is bent at the knee to form a right…
Scurrilous con artists have been known to represent gold-plated tungsten ingots as pure gold and sell them to the greedy at prices much below gold value but deservedly far above the cost of tungsten. With what accuracy must you be able to measure the mass of such an ingot in and out of water to tell that it is almost pure tungsten rather than pure gold?
Suppose the density of an object is given by xz, and the object occupies the tetrahedron with corners (0,0,0), (2,0,0), (0,2,0) and (0,0,2). Find the mass of the object.
A uniform soda can of mass 0.141 kg is 12.1 cm tall and filled with 0.351 kg of soda (figure below). Then small holes are drilled in the top and bottom (with negligible loss of metal) to drain the soda. (Initially the soda can is full.) (a) What is the height h of the com of the can and contents initially? cm (b) What is the height h of the com of the can and contents after the can loses all the soda? cm (c) What happens to h as the soda drains out? O decreases then rises again decreases to the bottom O rises to the top O stays the same (d) If x is the height of the remaining soda at any give instant, find x when the com reaches its lowest point. cm Splash!
A satellite is floating in space. Solar wind sweeping past the satellite consists of a stream of particles, mainly hydrogen ions of mass 1.7×10−27 kg. There are about 0.5×105 ions per cubic meter, and their speed is 8.0×105 m/s. An `umbrella' attached to the satellite is slowly opened, such that the radius of the circular cross-section of the umbrella is changing with time as r(t)=bt2, where b=0.1 m/s2 is a constant (see the figure which shows the side and front views). What is the maximum change of momentum of the satellite due to the solar wind hitting this umbrella after a time of 10 seconds? Explain carefully why this is the maximum possible change. You must explain your reasoning every step of the way!
A non-homogeneous bar is 50 cm long and its linear density is given by the function λ(x)=32 + 25x² , where x is the position of the bar from one end, where λ is given g/m (grams per meter). a) Draw a sketch of the bar and mark where on the bar its center of mass is locatedb) Calculate the total mass of the rod.
Two slabs, each 1 inch thick, each have one surface at 0◦ and the other surface at 100◦. At t = 0, they are stacked with their 100◦ faces together and then the outside surfaces are held at 100◦. Find u(x, t) for t > 0.