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目
普通物理(上)
國立台北教育大學 97 學年度第 1 學期月考試題
級 試卷 命 題 老 師 系 （ 科 ） 班
份數
(附讀生寫附讀班級)
班
資一甲
46
學
郭景致
號
姓
學生注意:
班級、姓名、學號未寫
清 楚 扣 總 分 五 分
名
共 3 頁第 1 頁
1. The consumption of natural gas by a company satisfies the empirical equation V=1.50t＋0.008 00t2, where V is the volumn in
millions of cubic feet and t the time in months. Express this equation in units of cubic feet and seconds. Assign proper units to the
coefficients. Assume that a month is 30.0 days. (8%)
(Sol)
2. An air-traffic controller observes two aircrafts on his radar screen. The first is at altitude 800 m, horizontal distance 19.2 km, and
25.0o south of west. The second aircraft is at altitude 1 100 m, horizontal distance 17.6 km, and 20.0 o south of west. What is the
distance between the two aircrafts? (Place the x axis west, the y axis south, and the z axis vertical.) (8%)
(Sol)
3. An object moves along the x axis according to the equation x(t) = (3.00 t2－2.00 t＋3.00) m, where t is in seconds. Determine (a)
the average speed between t = 2.00 s and t = 3.00 s, (b) the instantaneous speed at t = 2.00 s and t = 3.00 s, (c) the average
acceleration between t = 2.00 s and t = 3.00 s, and (d) the instantaneous acceleration at t = 2.00 s and t = 3.00 s. (12%)
(Sol)
so
(b)
(c)
(d)
4. A truck on a straight road starts from rest, accelerating at 2.00 m/s2 until it reachesa speed of 20.0 m/s. Then the truck travels for
20.0 s at constant speed until the brakes are applied, stopping the truck in a uniform manner in an additional 5.00 s. (a) How long
is the truck in motion? (b) What is the average velocity of the truck for the motion described? (10%)
(Sol) (a)
(b)
5. A car travels due east with a speed of 50.0 km/h. Raindrops are falling at constant speed vertically with respect to the Earth. The
traces of the rain on the side windows of the car make an angle of 60.0 o with the vertical. Find the velocity of the rain with
respect to (a) the car and (b) the Earth. (8%)
(Sol)
說
明：命題時請用黑色筆正楷書寫之
在試題上作答 Open Books
附答案紙
科
不可帶任何計算機
目
普通物理(上)
國立台北教育大學 97 學年度第 1 學期月考試題
級 試卷 命 題 老 師 系 （ 科 ） 班
份數
(附讀生寫附讀班級)
班
資一甲
46
學
郭景致
號
姓
學生注意:
班級、姓名、學號未寫
清 楚 扣 總 分 五 分
名
共 3 頁第 2 頁
6. A catapult launches a rocket at an angle of 53.0 o above the horizontal with an initial speed of 100 m/s. The rocket engine
immediately starts a burn, and for 3.00 s the rocket move along its initial line of motion with an acceleration of 30.0 m/s2. Then
its engine fails, and the rocket proceeds to move in free-fall. Find (a) the maximum altitude reached by the rocket, (b) its total
time of flight, and (c) its horizontal range. (12%)
(Sol)
7. A 1 000-kg car is pulling a 300-kg trailer. Together the car and the trailer move forward with an acceleration
of 2.15 m/s2. Ignore any force of air drag on the car and all frictional forces on the trailer. Determine (a) the net force on the car,
(b) the net force on the trailer, (c) the force exerted by the trailer on the car, and (d) the resultant force exerted by the car on the
road. (12%)
(Sol) (a)
(b)
(c)
(d)
8. A block of mass m = 2.00 kg is released from rest at h = 0.500 m above the surface of a table, at the top of of a θ= 30.0o incline
as shown in the figure below. The frictioless incline is fixed on a table of height H = 2.00 m. (a) Determine the acceleration of
the block as it slides down the incline. (b) What is the velocity of the block as it leaves the incline? (c) How far from the table
will the block hit the floor? (R = ?) (d) What time interval elapses between when the block is released and when it hits the floor?
(12%) (Sol) (a)
(b)
(c)
(d)
說
明：命題時請用黑色筆正楷書寫之
在試題上作答 Open Books
附答案紙
科
不可帶任何計算機
目
普通物理(上)
國立台北教育大學 97 學年度第 1 學期月考試題
級 試卷 命 題 老 師 系 （ 科 ） 班
份數
(附讀生寫附讀班級)
班
資一甲
46
學
郭景致
號
姓
學生注意:
班級、姓名、學號未寫
清 楚 扣 總 分 五 分
名
共 3 頁第 3 頁
9. The system shown in the figure below has an acceleration of maginitude 1.50 m/s2. Assume that the coefficient of kinetic friction
between block and incline is the same for both inclines. Find (a) the coefficient of kinetic friction and (b) the tension in the string.
(8%)
(Sol)
10.A Ferris wheel rotates four times each minute. It carries each car around a circle of diameter of 18.0 m. (a) What is the
centripetal acceleration of a rider? (b) What force does the seat exert on a 40.0-kg rider at the lowest point of the ride? (c) At the
highest point of the ride? (d) What force (magnitude and direction) does the seat exert on a rider when the rider is halfway
between top and bottom? (10%)
(Sol)
說
明：命題時請用黑色筆正楷書寫之