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1. *C5-19: Two ropes are attached to a tree, and forces of F₁ = (2.00i + 4.00j) N and F₂ = (3.00i +6.00j) N are applied. The forces are coplanar (in the same plane). a) What is the resultant force (net force) in unit vector notation? b) Find the magnitude and direction of this net force. Answers: (a) (5.00 i + 10.0 j) N, (b) 11.2 N @ 63.4°

1. *C5-19: Two ropes are attached to a tree, and forces of F₁ = (2.00i + 4.00j) N and F₂ = (3.00i +6.00j) N are applied. The forces are coplanar (in the same plane). a) What is the resultant force (net force) in unit vector notation? b) Find the magnitude and direction of this net force. Answers: (a) (5.00 i + 10.0 j) N, (b) 11.2 N @ 63.4°

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Just answer problem 1 parts A and B please.
Physics 121 HW Section 4 1. *C5-19: Two ropes are attached to a tree, and forces of F₁ = (2.00i + 4.00j) N and F₂ = (3.00i +6.00j) N are applied. The forces are coplanar (in the same plane). a) What is the resultant force (net force) in unit vector notation? b) Find the magnitude and direction of this net force. Answers: (a) (5.00 i + 10.0 j) N, (b) 11.2 N @ 63.4° 2. A 0.145 kg ball, initially at rest on a tee, is hit with a bat in the x-direction while initially 1.00 meters above the ground. The ball then proceeds as a projectile, hitting the ground 20.0 meters away. (a) With what speed does the ball leave the tee? (b) If the ball was in contact with the bat for 0.700 ms (milliseconds), what average net force was exerted on the ball during the contact time? Answers: (a) 44.3 m/s, (b) 9170 N 3. The distinction between mass and weight was discovered after Jean Richer transported pendulum clocks from Paris, France, to Cayenne, French Guiana, in 1671. He found that they quite systematically ran slower in Cayenne than in Paris. The effect was reversed when the clocks returned to Paris. How much weight would a 90.0 kg person lose in traveling from Paris, where g = 9.8095 m/s², to Cayenne, where g = 9.7808 m/s²? Answer: 2.58 N
Transcribed Image Text:Physics 121 HW Section 4 1. *C5-19: Two ropes are attached to a tree, and forces of F₁ = (2.00i + 4.00j) N and F₂ = (3.00i +6.00j) N are applied. The forces are coplanar (in the same plane). a) What is the resultant force (net force) in unit vector notation? b) Find the magnitude and direction of this net force. Answers: (a) (5.00 i + 10.0 j) N, (b) 11.2 N @ 63.4° 2. A 0.145 kg ball, initially at rest on a tee, is hit with a bat in the x-direction while initially 1.00 meters above the ground. The ball then proceeds as a projectile, hitting the ground 20.0 meters away. (a) With what speed does the ball leave the tee? (b) If the ball was in contact with the bat for 0.700 ms (milliseconds), what average net force was exerted on the ball during the contact time? Answers: (a) 44.3 m/s, (b) 9170 N 3. The distinction between mass and weight was discovered after Jean Richer transported pendulum clocks from Paris, France, to Cayenne, French Guiana, in 1671. He found that they quite systematically ran slower in Cayenne than in Paris. The effect was reversed when the clocks returned to Paris. How much weight would a 90.0 kg person lose in traveling from Paris, where g = 9.8095 m/s², to Cayenne, where g = 9.7808 m/s²? Answer: 2.58 N
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