题目
A car of mass is moving along a straight horizontal road against a constant resistance to motion of . At an instant when the car is moving at its acceleration is .
(a) Find the driving force of the car’s engine at this instant.
(b) Find the power of the car’s engine at this instant.
题目中文翻译
一辆质量为 的汽车沿水平直路行驶,受到大小恒为 的运动阻力。在汽车以 的速率行驶的某一瞬间,其加速度为 。
(a) 求这一瞬间汽车发动机的驱动力。
(b) 求这一瞬间汽车发动机的功率。
原卷通用作答要求
Answer all questions. You should use a calculator where appropriate.
You must show all necessary working clearly; no marks will be given for unsupported answers from a calculator.
Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place for angles in degrees, unless a different level of accuracy is specified in the question.
请回答所有题目。适当时应使用计算器。必须清楚展示所有必要的计算过程;仅给出计算器答案而没有过程,不予评分。除非题目另有精度要求,非精确数值答案保留 3 位有效数字,以度为单位的角度保留 1 位小数。
Where a numerical value for the acceleration due to gravity () is needed, use .
需要使用重力加速度 的数值时,取 。
解答
(a)
解法一
思路
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牵引力减阻力等于ma,别把牵引力当成合力。
答题过程
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Let be the driving force. Resolving along the road,
(b)
解法一
思路
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瞬时功率用牵引力乘瞬时速率。