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Let's sum that up to form the most essential projectile motion equations: 1. Launching the object from the ground (initial height h = 0): Horizontal velocity component: V x = V 0 cos α. V_\mathrm x = V_0 \cos \alpha V x = V 0 cosα. Vertical velocity component: V y = V 0 sin α − g t.
- Trajectory Calculator
Use this trajectory calculator to find the flight path of a...
- Trajectory Calculator
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 ...
A charging elephant can run at a speed of 35 km/h 35 \text{ km/h} 35 km/h. It may not seem like much, but since they can weigh anywhere between 2 t 2 \text{ t} 2 t to 7 t 7 \text{ t} 7 t , they can gain tremendous momentum of about 70 t⋅km/h 70 \text{ t⋅km/h} 70 t⋅km/h (19.4 kN⋅s) to 245 t⋅km/h 245 \text{ t⋅km/h} 245 t⋅km/h (68.1 kN⋅s) in their charge.
- Impulse
- Impulse from Force
- Momentum Is Conserved
- Momentum Is A Vector
Impulse is change in momentum. Δ is the symbol for "change in", so: Impulse is Δp Force can be calculated from the change in momentum over time (called the "time rate of change" of momentum): F = Δp Δt
We can rearrange: F = Δp Δt Into: Δp = F Δt So we can calculate the Impulse (the change in momentum) from force applied for a period of time.
Conserved: the total stays the same (within a closed system). Closed System: where nothing transfers in or out, and no external force acts on it. Note: At an atomic level Mass and Energy can be converted via E=mc2, but nothing gets lost.
Momentum is a vector: it has size AND direction. Sometimes we don't mention the direction, but other times it is important!
Linear momentum is defined as the product of a system’s mass multiplied by its velocity: p = mv (8.1.1) Momentum is directly proportional to the object’s mass and also its velocity. Thus the greater an object’s mass or the greater its velocity, the greater its momentum. Momentum p is a vector having the same direction as the velocity v.
May 1, 2024 · Calculate the v x res component using the equation: v x res = v 1 cos θ 1 + v 2 cos θ 2 ≈ 5.6 m/s. Determine the v y res component through the formula: v y res = v 1 sin θ 1 + v 2 sin θ 2 ≈ 6.7 m/s. Use the equations below to find the absolute value of the resultant velocity and its direction: v res = √ (v x res 2 + v y res 2) ≈ 8.7 ...
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The magnitudes of the components of displacement s → s → along these axes are x and y. The magnitudes of the components of velocity v → v → are v x = v cos θ and v y = v sin θ, v x = v cos θ and v y = v sin θ, where v is the magnitude of the velocity and θ is its direction relative to the horizontal, as shown in Figure 4.12.
