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HT = Higher Tier only equations. kinetic energy = 0.5 × mass × (speed)2. k 2. elastic potential energy = 0.5 × spring constant × (extension)2. e k e2. 2. gravitational potential energy = mass × gravitational field strength × height. p = m g h. change in thermal energy = mass × specific heat capacity × temperature change.
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For the sake of accuracy, this section should be entitled "One dimensional equations of motion for constant acceleration". Given that such a title would be a stylistic nightmare, let me begin this section with the following qualification. These equations of motion are valid only when acceleration is constant and motion is constrained to a straight ...
The relation between velocity and time is a simple one during uniformly accelerated, straight-line motion. The longer the acceleration, the greater the change in velocity. Change in velocity is directly proportional to time when acceleration is constant. If velocity increases by a certain amount in a certain time, it should increase by twice that a...
The displacement of a moving object is directly proportional to both velocity and time. Move faster. Go farther. Move longer (as in longer time). Go farther. Acceleration compounds this simple situation since velocity is now also directly proportional to time. Try saying this in words and it sounds ridiculous. "Displacement is directly proportional...
The first two equations of motion each describe one kinematic variable as a function of time. In essence… 1. Velocity is directly proportional to time when acceleration is constant (v ∝ t). 2. Displacement is proportional to time squared when acceleration is constant (∆s ∝ t2). Combining these two statements gives rise to a third — one that is inde...
Calculus is an advanced math topic, but it makes deriving two of the three equations of motion much simpler. By definition, acceleration is the first derivative of velocity with respect to time. Take the operation in that definition and reverse it. Instead of differentiating velocity to find acceleration, integrate acceleration to find velocity. Th...
Mar 12, 2024 · Define net force, external force, and system. Understand Newton’s second law of motion. Apply Newton’s second law to determine the weight of an object.
Definition: Resistance. The ratio of the voltage to the current is defined as the resistance \(R\): \[R \equiv \dfrac{V}{I}.\] The resistance of a cylindrical segment of a conductor is equal to the resistivity of the material times the length divided by the area: \[R \equiv \dfrac{V}{I} = \rho \dfrac{L}{A}.\]
The variables include acceleration (a), time (t), displacement (d), final velocity (vf), and initial velocity (vi). If values of three variables are known, then the others can be calculated using the equations. This page describes how this can be done for situations involving free fall motion.
This video shows how to calculate the IMA of a lever by three different methods: (1) from effort force and resistance force; (2) from the lengths of the lever arms, and; (3) from the distance over which the force is applied and the distance the load moves.
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Equations. How to find direction of friction force. Static friction prevents sliding. Static friction is the force holding an object in place on an incline, such as the cheese in Figure 1. The friction force points against the direction that the object would slide without friction.