Two horses are used to pull a carriage. They act at 30⁰ to each other. One horse pulls with a 550 N force and the resultant force is 1000 N. With what force is the second horse pulling the carriage? 2. A 1000 N crate rests on a 20⁰ incline. Resolve the force of the crate into components that are parallel and perpendicular to the incline. State the magnitudes of the components. 3. A swimmer is swimming at 1 knot (nautical miles per hour) on a heading of N30⁰W. The current is flowing at 2 knots towards a bearing of N10⁰E. Find the velocity of the swimmer, relative to the shore.
All the ffollowing require vector diagrams:
1. Two horses are used to pull a carriage. They act at 30⁰ to each other. One horse pulls with a 550 N force and the resultant force is 1000 N. With what force is the second horse pulling the carriage?
2. A 1000 N crate rests on a 20⁰ incline. Resolve the force of the crate into components that are parallel and perpendicular to the incline. State the magnitudes of the components.
3. A swimmer is swimming at 1 knot (nautical miles per hour) on a heading of N30⁰W. The current is flowing at 2 knots towards a bearing of N10⁰E. Find the velocity of the swimmer, relative to the shore.
4. A ski chairlift is suspended between two towers that are 60 m apart. When the chairlift is 20 m from one tower, the cable sags 1 m. The chairlift is loaded with four skiers with a combined weight of 250 N (including the mass of the chair). What are the tensions in the two parts of the cable?
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