A 75 kg woman and a 55 kg man sit on a seesaw, 7 m long. Where is their center of mass, measured in m from the side where the woman is? (round your answer to two decimal placesl if u don't know please skip because short answer and wrong answer gives u downvotes

A 75 kg woman and a 55 kg man sit on a seesaw, 7 m long. Where is their center of mass, measured in m from the side where the woman is? (round your answer to two decimal placesl if u don't know please skip because short answer and wrong answer gives u downvotes

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter12: Static Equilibrium And Elasticity

Section: Chapter Questions

Problem 37P: To get up on the roof, a person (mass 70.0 kg) places 6.00-m aluminum ladder (mass 10.0 kg) against...

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Two metersticks are connected at their ends as shown in Figure P10.18. The center of mass of each individual meterstick is at its midpoint, and the mass of each meterstick is m. a. Where is the center of mass of the two-stick system as depicted in the figure, with the origin located at the intersection of the sticks? b. Can the two-stick system be balanced on the end of your finger so that it remains lying flat in front of you in the orientation shown? Why or why not? FIGURE P10.18 (a) The center of mass of the stick on the x axis would be at (0.5 m, 0), and the center of mass of the stick on the stick on the y axis be at (0, 0.5 m), assuming the sticks are uniform. We can then use Equation 10.3 to find the x and y coordinates of the center of mass. xCM=1Mj=1nmjxj=12m[m(0.50m)]=0.25myCM=1Mj=1nmjyj=12m[m(0.50m)]=0.25m The location of the center of mass is (0.25m,0.25m) (b) No. The location of the center of mass is not located on the object, so your finger would not be in contact with the object. In a different orientation, balancing by applying a force at the center of mass might be possible, but not in the orientation shown.
A tennis ball of mass mt is held just above a basketball of mass mb, as shown in Figure P8.22. With their centers vertically aligned, both are released from rest at the same moment so that the bottom of the basketball falls freely through a height h and strikes the floor. Assume an elastic collision with the ground instantaneously reverses the velocity of the basketball while the tennis ball is still moving down because the balls have separated a bit while falling. Next, the two balls meet in an elastic collision. (a) To what height does the tennis ball rebound? (b) How do you account for the height in (a) being larger than h? Does that seem like a violation of conservation of energy? Figure P8.22
A uniform piece of sheet metal is shaped as shown in Figure P9.24. Compute the x and y coordinates of the center of mass of the piece. Figure P9.24
A solid sphere of radius 10 cm is allowed to rotate freely about an axis. The sphere is given a sharp blow so that its center of mass starts from the position shown in the following figure with speed 15 cm/s. What is the maximum angle that the diameter makes with the vertical?
The Xanthar mothership locks onto an enemy cruiser with its tractor beam (Fig. P8.14); each ship is at rest in deep space with no propulsion following a devastating battle. The mothership is at x = 0 when its tractor beams are first engaged, a distance d = 215 xiles from the cruiser. Determine the x-position in xiles of the two spacecraft when the tractor beam has pulled them together. Model each spacecraft as a point particle with the mothership of mass M = 185 xons and the cruiser of mass m = 20.0 xons. Figure P8.14
A baseball bat of uniform denisty is cut at the location of its center of mass as shown in Figure 8.17. Which piece has the smaller mass? (a) the piece on the right (b) the piece on the left (c) both pieces have the same mass (d) impossible to determine Figure 8.17 (Quick Quiz 8.5) A baseball bat cut at the location of its center of mass.
Two bumper cars at the county fair are sliding toward one another (Fig. P11.54). Initially, bumper car 1 is traveling to the east at 5.62 m/s, and bumper car 2 is traveling 60.0 south of west at 10.00 m/s. They collide and stick together, as the driver of one car reaches out and grabs hold of the other driver. The two bumper cars move off together after the collision, and friction is negligible between the cars and the ground. a. If the masses of bumper cars 1 and 2 are 596 kg and 625 kg respectively, what is the velocity of the bumper cars immediately after the collision? b. What is the kinetic energy lost in the collision? c. Compare your answers to part (b) from this and Problem 54. Is one answer larger than the other? Discuss and explain any differences you find.
You are holding a shopping basket at the grocery store with two 0.58 kg cartons of cereal at one end of the basket. The basket is 0.80 m long. Where should you place a half gallon of milk (1.8 kg) so that the center of mass (COM) of your groceries is at the center of the basket? x m from the center of the basket, opposite the cartons of cereal. 0.658 (Why do you want the COM of the groceries to be at the center of the basket?)
You are holding a shopping basket at the grocery store with two 0.58 kg cartons of cereal at one end of the basket. The basket is 0.80 m long. Where should you place a half gallon of milk (1.8 kg) so that the center of mass (COM) of your groceries is at the center of the basket? x m from the center of the basket, opposite the cartons of cereal. 0.13
She lies on a plank on two scales: one at her head, the other at her feet. They are 1.71 meters apart. Her head scale reads 386 N, and her foot scale reads 398 N. How far from her feet is her center of mass?
Fred Flintstone’s club–ax is made up of two parts: an uniform 2.5 kg stick and a symmetrical 7 kg stone attached to the end of the stick. The dimensions of the club-ax are shown in the figure. How far is the center of mass from the handle end of the club-ax? Express your answer in cm.
A 3 kg plank is 0.6 m in length and has its center of mass at the geometrical center. Masses of 1 kg an 3 kg are attached at opposite ends of the plank. Find the center of mass of the whole system. 1 kg 3 kg Where is the COM? 3 kg