Exam 4: The Laws of Motion

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At an instant when a 4.0-kg object has an acceleration equal to (5i^+3j^)( 5 \hat { \mathbf { i } } + 3 \hat { \mathbf { j } } ) m/s2,one of the two forces acting on the object is known to be (12i~+22j~)( 12 \tilde { \mathbf { i } } + 22 \tilde { \mathbf { j } } ) N.Determine the magnitude of the other force acting on the object.

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Two people,each of 70 kg mass,are riding in an elevator.One is standing on the floor.The other is hanging on a rope suspended from the ceiling.Compare the force F→F\overrightarrow { \mathbf { F } } _ { F } the floor exerts on the first person to the force F→R\overrightarrow { \mathrm { F } } _ { R } the rope exerts on the second person.Which statement is correct?

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A 2.0-kg block slides on a frictionless 15 °\degree inclined plane.A force acting parallel to the incline is applied to the block.The acceleration of the block is 1.5 m/s2 down the incline.What is the applied force?

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A 1.5-kg object has a velocity of 5 ĵ m/s at t = 0.It is accelerated at a constant rate for five seconds after which it has a velocity of (6 î + 12 ĵ1 )m/s.What is the direction of the resultant force acting on the object during this time interval?

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A uniform beam having a mass of 60 kg and a length of 2.8 m is held in place at its lower end by a pin.Its upper end leans against a vertical frictionless wall as shown in the figure.What is the magnitude of the force the pin exerts on the beam? A uniform beam having a mass of 60 kg and a length of 2.8 m is held in place at its lower end by a pin.Its upper end leans against a vertical frictionless wall as shown in the figure.What is the magnitude of the force the pin exerts on the beam?

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A uniform 100-lb beam is held in a vertical position by a pin at its lower end and a cable at its upper end.A horizontal force (magnitude P)acts as shown in the figure.If P = 75 lb,what is the tension in the cable? A uniform 100-lb beam is held in a vertical position by a pin at its lower end and a cable at its upper end.A horizontal force (magnitude P)acts as shown in the figure.If P = 75 lb,what is the tension in the cable?

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The diagrams below show forces applied to a wheel that weighs 20 N.The symbol W stands for the weight.In which diagram(s)is(are)the wheel in equilibrium? The diagrams below show forces applied to a wheel that weighs 20 N.The symbol W stands for the weight.In which diagram(s)is(are)the wheel in equilibrium?

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A 3.0-kg block moves up a 40 °\degree incline with constant speed under the action of a 26-N force acting up and parallel to the incline.What magnitude force must act up and parallel to the incline for the block to move down the incline at constant velocity?

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A 1.5-kg mass has an acceleration of (4.0 î - ĵ )m/s2.Only two forces act on the mass.If one of the forces is (2.0 î - 1.4 ĵ )N,what is the magnitude of the other force?

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A 6.00 kg block is placed on a 30.0 °\degree incline and connected to another block on a 36.87 °\degree incline.Although the surfaces are frictionless the blocks do not move.What is the mass in kilograms of the block on the 36.87 °\degree incline?  A 6.00 kg block is placed on a 30.0 \degree  incline and connected to another block on a 36.87 \degree incline.Although the surfaces are frictionless the blocks do not move.What is the mass in kilograms of the block on the 36.87 \degree  incline?

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An astronaut who weighs 800 N on the surface of the earth lifts off from planet Zuton in a space ship.The free-fall acceleration on Zuton is 3.0 m/s2 (down).At the moment of liftoff the acceleration of the space ship is 0.50 m/s2 (up).What is the magnitude of the force of the space ship on the astronaut?

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If F = 8.0 N and M = 1.0 kg,what is the tension in the connecting string? The pulley and all surfaces are frictionless. If F = 8.0 N and M = 1.0 kg,what is the tension in the connecting string? The pulley and all surfaces are frictionless.

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Three boxes slide on a frictionless horizontal surface when pulled by a force of magnitude F.When we compare the tensions T1 and T2 with the force F,we find that Three boxes slide on a frictionless horizontal surface when pulled by a force of magnitude F.When we compare the tensions T<sub>1</sub> and T<sub>2</sub> with the force F,we find that

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An 8.0-kg object rests on the floor of an elevator which is accelerating downward at a rate of 1.3 m/s2.What is the magnitude of the force the object exerts on the floor of the elevator?

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In order to jump off the floor,the floor must exert a force on you

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A 2 000-kg sailboat experiences an eastward force of 3 000 N by the ocean tide and a wind force against its sails of magnitude 6 000 N directed toward the northwest (45 °\degree N of W).What is the magnitude and direction of the resultant acceleration?

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If F = 40 N and M = 1.5 kg,what is the tension in the string connecting M and 2M? Assume that all surfaces are frictionless. If F = 40 N and M = 1.5 kg,what is the tension in the string connecting M and 2M? Assume that all surfaces are frictionless.

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The apparent weight of a fish in an elevator is greatest when the elevator

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Two people,each of 70 kg mass,are riding in an elevator.One is standing on the floor.The other is hanging on a rope suspended from the ceiling.Compare the acceleration a→F\overrightarrow { \mathbf { a } } _ { F } of the first person to the acceleration a→R\overrightarrow { \mathbf { a } } _ { R } of the second person.Which statement is correct?

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  In the figure,if the tension in string 1 is 34 N and the tension in string 2 is 24 N,what is the mass of the object shown? In the figure,if the tension in string 1 is 34 N and the tension in string 2 is 24 N,what is the mass of the object shown?

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