IB Physics-Paper1 Theme A Space and motion-Part#3

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An increasing force acts on a metal wire and the wire extends from an initial length l0 to a new length l. The graph shows the variation of force with length for the wire. The energy required to extend the wire from l0 to l is E.
The wire then contracts to half its original extension.
What is the work done by the wire as it contracts?
- An object is moving in a straight line. A force F and a resistive force f act on the object along the straight line.
Both forces act for a time t.
What is the rate of change of momentum with time of the object during time t ?
- A motor of input power 160 W raises a mass of 8.0 kg vertically at a constant speed of 0.50 m s–1. What is the efficiency of the system?
- The graph shows the variation with time t of the force F acting on an object of mass 15 000 kg. The object is at rest at t = 0. What is the speed of the object when t = 30 s?
- A ball of mass m is thrown with an initial speed of u at an angle θ to the horizontal as shown. Q is the highest point of the motion. Air resistance is negligible. What is the momentum of the ball at Q?
- A weight W is tied to a trolley of mass M by a light string passing over a frictionless pulley. The trolley has an acceleration a on a frictionless table. The acceleration due to gravity is g. What is W ?
- A ball starts from rest and moves horizontally. Six positions of the ball are shown at time intervals of 1.0 ms. The horizontal distance between X, the initial position, and Y, the final position, is 0.050 m. What is the average acceleration of the ball between X and Y?
- A ball of mass m collides with a vertical wall with an initial horizontal speed u and rebounds with a horizontal speed v. The graph shows the variation of the speed of the ball with time. What is the magnitude of the mean net force on the ball during the collision?
- An object is thrown upwards. The graph shows the variation with time t of the velocity v of the object. What is the total displacement at a time of 1.5 s, measured from the point of release?
- A system that consists of a single spring stores a total elastic potential energy Ep when a
load is added to the spring. Another identical spring connected in parallel is added to the system. The same load is now applied to the parallel springs.
What is the total elastic potential energy stored in the changed system?
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