課程名稱︰普通物理學甲上 課程性質︰必帶 課程教師︰蔡政達 開課學院：理學院 開課系所︰化學系 考試日期（年月日）︰98/11/12 考試時限（分鐘）：110min 是否需發放獎勵金：是 （如未明確表示，則不予發放） 試題 : 1. A single force acts on a 5.0kg particle-like object whose position is given by x=5.0t - 4.0t^2 + 2.0t^3,with x in meters and t in seconds (a)Find the work done on the object by the force from t=0 to t=10.0s (b)Find the average force acting on the object from t=0 to t=10.0s (c)Find the force acting on the object at t=10.0s 2. A ball is shot vertically upward from the surface of another planet A plot of y versus t for the ball is shown in Fig, where y is the height of the ball above its starting point and t=0 at the instant the ball is shot. The figure's vertical scaling is set by ys =36.0m (TA said the Hmax=30.0m) What are the magnitude of (a)the free-ball acceleration on the planet (b)the initial velocity of the ball (c)the velocity at t=4 sec? y↑ (2.5s reach Hmax) │ │ ╱╲ │ ∕ ﹨ │∕ ﹨ └────→ 1 2 3 4 5 3. A boy is initially seated on the top of a hemispherical ice mound of radius R=13.8m . He begins to slide down the ice, with a negligible initial speed Approximate the ice as being frictionless At what height does the boy lose contact with the ice? 4. In fig C , block 1 of mass m1 slide from rest along a frictionless ramp from height h=2.50m and then collides with stationary block 2 ,which has mass m2=2.00m1. After the collision, block 2 slides into a region where the coefficient of kinetic friction μs=0.500 and comes to a stop in distance d within that region What is the value of distance d if the collision is (a)elastic (b)completely unelastic ﹨ 1 ﹨□ --- ﹨ ↑ ╲ h 2 ╲ ↓ □ μk ────────────══════════════ 5 An observer O observes that a proton moves along the x-axis according to the equation x(t)=t^2+2t y(t)=0.0 , where x is in meters ,y is in meters and t is in seconds. Please (a)Calculate the average velocity of the proton during the first 3.0s of its motion (b)Calculate the instantaneous velocity of the proton at t=3.0s (c)Calculate the instantaneous acceleration of the proton at t=3.0s (d)Graph x versus t and indicate how the answer to (a) can be obtained from the plot (e)Assume that there is another observer O' whose x-axis and y-axis are parallel to O respectively. If O' is located at the proton position at t=0.0s, and moves relative to O with constant velocity -5m/s in y-dircion Calculate the volecity of the proton relative to O' at t=5.0s (f)What is the trajectory of the proton seen by O' --

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