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- Show that the acceleration of any object down a frictionless incline that makes an angle with the horizontal is a=gsin . (Note that this acceleration is independent of mass.)Check Your Understanding At the time of its launch, the HMS Titanic was the most massive mobile object ever built, with a mass of 6.0107kg . If a force of 6 MN (6106N) was applied to the ship, what acceleration would it experience?A sailboat has a mass of 1.50103kg and is acted on by a force of 2.00103N toward the east, while the wind acts behind the sails with a force of 3.00103N in a direction 45 north of east. Find the magnitude and direction of the resulting acceleration.
- What force must be applied to a 100.0-kg crate on a frictionless plane inclined at 30 to cause an acceleration of 2.0m/s2 up the plane?Check Your Understanding For Example 5.8, find the acceleration when farmer’s applied force is 230.0 N.Check Your Understanding Find the direction of the resultant for the 1.50-kg model helicopter.
- Check Your Understanding Calculate the acceleration of the system, and the tension in the string, when the masses are andA 1.5-kg mass has an acceleration of (4.0 i 3.0 j )m/s2 . Only two forces act on the mass. If one of the forces is . what is the magnitude of the other force?Check Your Understanding A 550-kg sports car collides with a 2200-kg truck, and during the collision, the net force on each vehicle is the force exerted by the other. If the magnitude of the truck’s acceleration is 10m/s2 , what is the magnitude of the sports car’s acceleration?
- If the order of the barges of the preceding exercise is reversed so that the tugboat pulls the 3.00103-kgbarge with a force of 20.0103N , what are the acceleration of the barges and the tension in the coupling cable?A dragster reaches 350 km/h from rest in 6.2s. If the car is 800 kg and generates a driving force of 14000N, find the force of friction acting on the car.A sprinter (mass of 85 kg) pushes against the blocks with a resultant force of -2500 N at an angle of 15 degrees to the horizontal. Neglecting air resistance, what is the acceleration of the sprinter’s CG in the horizontal direction?