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Oct 11, 2023 · Momentum Equation for these Calculations: p = mv p = m v. Where: p = momentum. m = mass. v = velocity. The Momentum Calculator uses the formula p=mv, or momentum (p) is equal to mass (m) times velocity (v). The calculator can use any two of the values to calculate the third. Along with values, enter the known units of measure for each and this ...
W net = W grav = − m g (y f − y i), where y is positive up. The work-energy theorem says that this equals the change in kinetic energy: − m g (y f − y i) = 1 2 m (v f 2 − v i 2). Using a right triangle, we can see that (y f − y i) = (s f − s i) sin θ, so the result for the final speed is the same.
Unlike velocity, acceleration, force, and momentum, the kinetic energy of an object is completely described by magnitude alone. Like work and potential energy, the standard metric unit of measurement for kinetic energy is the Joule. As might be implied by the above equation, 1 Joule is equivalent to 1 kg* (m/s)^2. 1 Joule = 1 kg • m2/s2.
We analyze the motion of a rocket, which changes its velocity (and hence its momentum) by ejecting burned fuel gases, thus causing it to accelerate in the opposite direction of the velocity of the ejected fuel (see (Figure)). Specifically: A fully fueled rocket ship in deep space has a total mass [latex] {m}_ {0} [/latex] (this mass includes ...
pushed 20 m v 2 =0 +2a ×20 =40a =4 or v =2ms −1. (The result v 2 =u2 +2as for constant acceleration was introduced in Chapter 2.) Consider next the general case of a car of mass m kg. If P is the force given to the car by the person pushing it in the direction of motion, and R the resistance then the equation of motion replacing (1) is P − ...
A machine lifts a mass of weight 490.5 N through a height of 12 m when 7.85 kJ of energy is supplied to it. Determine the efficiency of the machine. Work done in lifting mass = force × distance moved = weight of body × distance moved = 490.5 N × 12 m = 5886 J = useful energy output . Energy input = 7.85 kJ = 7850 J . Efficiency, η =
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Click on the calculate button to get Total Energy. Mechanical Energy Formula used. Mechanical Energy= Kinetic Energy + potential energy TE = 1 2mv2 +mgH TE = 1 2 m v 2 + m g H. Where m -> mass. v -> velocity of the object. g -> Acceleration due to gravity ( 9.8 m/s2 m / s 2) H -> Height of the object.
