Collision Speed Calculator

Calculate Collision Speed







Formula

The formula to calculate the collision speed is:

\[ \text{CS} = \left| \frac{m_1 \cdot v_1 + m_2 \cdot v_2}{m_1 + m_2} \right| \]

Where:

Definition

Example

Let's say the mass of object 1 is 5 kg, its velocity is 3 m/s, the mass of object 2 is 10 kg, and its velocity is -2 m/s. Using the formula:

\[ \text{CS} = \left| \frac{(5 \times 3) + (10 \times -2)}{5 + 10} \right| = \left| \frac{15 - 20}{15} \right| = \left| \frac{-5}{15} \right| = 0.33 \, \text{m/s} \]

So, the collision speed is 0.33 m/s.

Extended information about Collision-Speed-Calculator

Extended information about Calculate Speed of Car Before Collision

Definition: The speed of a car before a collision can be calculated using the principles of conservation of momentum and energy.

Formula: \( v = \frac{(m_1 + m_2) \cdot v_f}{m_1} \)

Example: \( v = \frac{(1500 + 1200) \cdot 10}{1500} \)

Extended information about Formula for Speed After Collision

Definition: The speed after a collision can be determined using the conservation of momentum.

Formula: \( v_f = \frac{m_1 \cdot v_1 + m_2 \cdot v_2}{m_1 + m_2} \)

Example: \( v_f = \frac{1500 \cdot 20 + 1200 \cdot 15}{1500 + 1200} \)

Extended information about Average Collision Rate Formula

Definition: The average collision rate is the frequency at which collisions occur in a given system.

Formula: \( R = \frac{N \cdot v}{V} \)

Example: \( R = \frac{1000 \cdot 5}{50} \)

Extended information about Time to Collision Calculation

Definition: The time to collision is the time remaining before two objects collide, given their current speeds and distance apart.

Formula: \( t = \frac{d}{v_1 + v_2} \)

Example: \( t = \frac{100}{20 + 30} \)