The number of marks is given in brackets[]at the end of each question or part question.The use of a calculator is expected,where appropriate.Results obtained solely from a graphic calculator,without supporting working or reasoning,will not receive credit.Y ou are reminded of the need for clear...
A particle moves in a horizontal plane under the action of a single force, F newtons. The unit vectors i and j are directed east and north respectively. At time t\ seconds, the position vector, r\ metres, of the particle is given by r=(t^3-3t^2+4) i+(4t+t^2) j(a) Find ...
The motion is frictionless.MmFind the Lagrangian of the system and derive the equations of motion.Show that the orbit is stable with respect to small changes in the radius, and find the frequency of small oscillations. 2A particle of mass is constrained to move on a horizontal plane. A...
4 A particle P of mass 2m, moving on a smooth horizontal plane with speed u, strikes a fixed smooth vertical barrier. Immediately before the collision the angle between the direction of motion of P and the barrier is 60°. The coefficient of restitution between P and the barrier is . Sho...
The upper34the portion of a vertical pole subtends an angletan−135at a point in the horizontal plane through its foot and at a distance40mfrom the root. A possible height of the vertical pole is View Solution Q5 A particle is projected from the ground at some angle to the...
Points A and B are on the inner surface of the sphere and AOB is a 21 horizontal diameter. Initially, P is projected vertically downwards with speed 2 ag from A and begins to move in a vertical circle. At the lowest point of its path, vertically below O, the particle P collides with...
A-level 进阶数学真题 06年 机械与统计
Since the observations from the DC confirmed that the NFC was located just above the DC, the direction of the NFC from detectors at the MC was projected onto a vertical plane passing through the center of the DC (Fig.4d and Methods). By analyzing the spatial distribution, the NFC center ...
Many of the satellites of galactic-mass systems such as the Miky Way, Andromeda and Centaurus A show evidence of coherent motions to a larger extent than most of the systems predicted by the standard cosmological model. It is an open question if correlat
A single-molecule three-dimensional (3D) structure is essential for understanding the thermal vibrations and dynamics as well as the conformational changes during the chemical reaction of macromolecules. Individual-particle electron tomography (IPET) is an approach for obtaining a snap-shot 3D structure...