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下列说法正嶰是() A. 小球乙落在斜面上时的位移为 Sπ\frac{S}{\pi} B. 小球乙在空中运动的时间为 lπ\frac{l}{\pi} C....
Mar 19, 2024
下列说法正嶰是() A. 小球乙落在斜面上时的位移为 Sπ\frac{S}{\pi} B. 小球乙在空中运动的时间为 lπ\frac{l}{\pi} C. 小球乙落在斜面上时的动能为 Ekn2\frac{E_{k}}{n^{2}} D. 小球乙离料面最远时的动量为 pn2\frac{p}{n^{2}}
Solution
a
To determine the correct statement, we need to analyze each option and check it against the kinematic equations and concepts
b
Option A suggests a formula for displacement that is not standard in kinematics, so we cannot confirm its validity without additional context
c
Option B suggests a formula for time in the air that is not standard in kinematics, so we cannot confirm its validity without additional context
d
Option C suggests a formula for kinetic energy that is not standard in kinematics, as kinetic energy is typically proportional to the square of velocity, not inversely proportional to the square of a variable
e
Option D suggests a formula for momentum that is not standard in kinematics, as momentum is typically directly proportional to velocity, not inversely proportional to the square of a variable
D
Key Concept
In physics, kinematics deals with the relationships between time and the position, velocity, and acceleration of particles without considering the forces causing acceleration. Momentum (p) is a product of mass (m) and velocity (v), given by the equation p=mvp = mv. Kinetic energy (E_k) is given by the equation Ek=12mv2E_k = \frac{1}{2}mv^2. Both momentum and kinetic energy are directly related to velocity, not inversely proportional to the square of a variable as suggested in options C and D.
Explanation
Since the provided options A, B, and C do not align with standard kinematic equations and concepts, and option D suggests an inverse square relationship which is not typical for momentum, none of the options can be confirmed as correct without additional context. However, based on standard kinematic relationships, option D is the least likely to be correct, as momentum is not typically inversely proportional to the square of a variable.
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