3. Three people of roughly equal masses on a lightweight banana boat sit along the x axis at positions XĄ = 1.0 m, xg = 5.0 m, and x, = 6.0 m, measured from the left-hand end. Find the position of the cm. Ignore the boať's mass. %3D

3. Three people of roughly equal masses on a lightweight banana boat sit along the x axis at positions XĄ = 1.0 m, xg = 5.0 m, and x, = 6.0 m, measured from the left-hand end. Find the position of the cm. Ignore the boať's mass. %3D

Name: 3. Three people of roughly equal masses on a lightweight banana boat
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Description: 3. Three people of roughly equal masses on a lightweight banana boat sit along the x axis atpositions XĄ = 1.0 m, xg = 5.0 m, and x, = 6.0 m, measured from the left-hand end. Find theposition of the cm. Ignore the boat's mass.

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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Three people of roughly equal masses on a lightweight banana boat sit along the x axis at positions xA = 1.0 m, xB = 5.0 m, and xc = 6.0 m, measured from the left-hand end. Find the position of the cm. Ignore the boat’s mass.
Women often experience back pain when they are pregnant. Suppose a woman’s mass before pregnancy is 61.0 kg and her center of mass when standing is located directly above the hips. By the thirty-fourth week of pregnancy, she has gained 9.00 kg (the combined mass of the fetus, the placenta, and the amniotic fluid). The center of mass of this 9.00 kg is 18.0 cm in front of the hips. If she hasn’t changed her posture, how far in front of the hips is her center of mass? (Women have three wedge-shaped lumbar vertebrae, whereas men have only two. This evolutionary adaptation permits a greater curvature of the lumbar spine to keep a pregnant woman’s CM above the hips.)
The center of mass of an empty 1.044E+3-kg car is 2.46 m behind the front of the car. How far (in m) from the front of the car will the CM be when two people sit in the front seat 2.98 m from the front of the car, and three people sit in the back seat 3.75 m from the front? Assume that each person has a mass of 70.9 kg.
(II) Two people, one of mass 85 kg and the other of mass55 kg, sit in a rowboat of mass 58 kg. With the boatinitially at rest, the two people, who have been sitting atopposite ends of the boat, 3.0 m apart from each other,now exchange seats. How far and in what direction willthe boat move?
A cannon of mass 5.12 x 10^3 kg is rigidly bolted to the earth so it can recoil only by a negligible amount. The cannon fires a 81.1-kg shell horizontally with an initial velocity of 549 m/s. Suppose the cannon is then unbolted from the earth, and no external force hinders its recoil. What would be the velocity of a shell fired from this loose cannon?
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(II) The CM of an empty 1250-kg car is 2.40 m behind thefront of the car. How far from the front of the car will theCM be when two people sit in the front seat 2.80 m fromthe front of the car, and three people sit in the back seat3.90 m from the front? Assume that each person has a massof 65.0 kg.
2. A bullet, having a mass of 0.0400kg moving with a velocity of 450 m/s penetrates a distance of 0.0800m into a wooden block firmly attached to the earth. Assuming a constant accelerating force, compute the following: a) the acceleration of the bullet, b) the accelerating force, c) the time of acceleration, and d) the impulse of the collision.
1. The CM of an empty 1250-kg car is 2.40 m behind the front of the car. How far from the front of the car will the CM be when two people sit in the front seat 2.80 m from the front of the car, and three people sit in the back seat 3.90 m from the front? Assume that each person has a mass of 65.0 kg.
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