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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.
- 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 andWhat 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 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?A 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?
- 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?Check Your Understanding The soccer player stops after completing the play described above, but now notices that the ball is in position to be stolen. If she now experiences a force of 126 N attempts to steal the ball, which is 2.00 m away from her, how long will it take her to get to the ball?Shown below is a body of mass 1.0 kg under the influence of the forces FA,FB ,and mg . If the body accelerates to the left at 20m/s2 , what are FA and FB?