No partial marks a particle of mass 0900 kg can only

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1.[3 Points] No partial marks A particle of mass = 0.900 kg can only travel along the xaxis. Assuming that a single conservative force F does work on the particle, the figure below shows a plot of potential energy V vs. position x. When the particle is at x= 4.50 m, its velocity is v= – 7.00 m/s. Answer the questions below. Make sure to use the appropriate signs and units. (i) What is the total mechanical energy (E) of the particle? Answer: ___________________________(ii) In the interval between x= 0.00 m and x= 7.00 m, what is the particle’s maximum possible speed? Answer: ____________________________(iii) How much work is done by F as the particle moves from x= 4.00 m to x= 0.00 m? Answer: ____________________________
4 2.[1 Point] No partial marks A man stands inside an initially stationary boat of mass 150 kg with three boxes A, B, C of masses mA= 10.0 kg, mB= 20.0 kg, mC= 30.0 kg, respectively. He then throws out some or all of the boxes horizontally as described in the five scenarios listed below. Each box is thrown out with the same velocity vwith respect to the ground. (a)Throws box C only. (b)Throws boxes in the order of B, A, C. (c)Throws all the boxes at the same time. (d)Throws boxes A and C at the same time. (e)Throws box A only. Rank the final speed of the boat (neglect water resistance) from smallest to largest for the scenarios a to e. Clearly indicate any ties. (e.g. a = d < c < b = e) Answer: ___________________________________3.[1 Point] No partial marks A uniform solid square plate hangs on a wall such that it can rotate about one of its corners O. It is set in motion as shown by the curved arrow in the figure. Rank the speeds of points A, B, C, D on the plate at the instant shown in the figure. Note that in the figure, points A, C, D are at the same height, and D is located at the centre of the plate. Rank from smallest speed to largest. Clearly indicate any ties. (e.g. A = D < B = C) Answer: ___________________________________
5 4.[3 Points] No partial marksTwo particles, 1 and 2, collide with velocities immediately before impact as shown in the figure below. Particle 1 has a mass twicethat of particle 2. The velocities in the figure are drawn to scale. Six scenarios are shown below for the possible velocities of both particles immediately after impact. The velocities in all the figures are drawn to scale. (i) List allthe scenarios that are notconsistent with physical laws. Answer: _______________________________________

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