A rope hangs between two cliffs, edge A and edge B. There is a 250 kg hiker sliding across and is closer to
edge A than edge B. The angles that the ropes make below the horizontal are 35° below edge A and 65° below
edge B. What is the Tension in both ropes?
Solved
Show answers
More tips
- S Style and Beauty How to Sew a Balloon Skirt: Detailed Tutorial and Tips on Choosing the Right Fabric...
- P Philosophy Agnosticism: Opinion or Belief?...
- S Style and Beauty How to choose the best mascara for your eyelashes...
- F Food and Cooking Discover Delicious Recipes You Can Make with Ground Meat...
- C Computers and Internet Google Search Tips and Tricks: Everything You Need to Know...
- S Science and Technology Why is there no gravity on other planets?...
- L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
- L Leisure and Entertainment How to Make a Paper Boat in Simple Steps...
- T Travel and tourism Maldives Adventures: What is the Best Season to Visit the Luxurious Beaches?...
- H Health and Medicine Kinesiology: What is it and How Does it Work?...
Answers on questions: Physics
- P Physics What is the purpose of a reference point?...
- P Physics Three uses of concave lens...
- P Physics In Africa, there is grooved bedrock and there are glacial deposits called tillites that are more than 240 million years old. These are found along the equator, in areas with...
- P Physics Two prominent research groups came to the same surprising conclusion after taking measurements of the luminosity of Type Ia supernovae at great distances, this being that...
- P Physics How much work, in kilojoules, went into thermal energy produced by friction?...
- H History What did the u.s. congress pass as a joint resolution that acknowledged cuban independence, demanded that the spanish government give up control of the island, foreswore any...
- M Mathematics Ou are rearranging your bookshelf to make it more interesting and harder to find anything on it. on one of the shelves you plan to put 13 biographies and 6 mysteries. how...
- B Business Shawn went to a restaurant where the beer was mediocre and the place was run-down. the restaurant was out of many of its more popular menu items. yet shawn remembered the...
- G Geography Kepler s first law states that the orbit of each planet is an ellipse with the sun at one focus. which of the following statements describe a characteristic of the solar system...
- B Business Drag and drop the appropriate terms into the spaces provided. under a shipment contract, the seller is required only to the goods into the hands of a carrier and title passes...
Ответ:
1655.5 N
Explanation:
We resolve the forces on the rope into horizontal and vertical components. Since the only vertical force exerted on the rope is the weight of the man, this weight equals the vertical components of the tensions on both sides of the rope .
The only horizontal forces acting on the rope are horizontal components of both tensions on both sides. Since the hiker doesn't move sideways, they cancel out and he is balanced. So, the net horizontal force is zero.
Let T be the tension in the rope. So, each vertical component on side A is Tsin35° and that on side B is Tsin65°. Let the weight of the man be W = mg where m = mass of hiker = 250 kg and g = acceleration due to gravity = 9.8 m/s².
So, since the hiker balances, Tsin35° + Tsin65° = mg
0.5736T + 0.9063T = 250 kg × 9.8 m/s²
1.4799T = 2450 N
dividing both sides by 1.4799, we have
T = 2450 N/1.4799
T = 1655.52 N
T ≅ 1655.5 N
So, the tension in the rope equals T = 1655.5 N
Ответ:
•Science is a collaborative human effort to understand or better understand natural history and the workings of nature based on the available physical evidence.
Hope it helps =)