The formula to calculate the Momentum from Energy (p) is:
\[ p = \sqrt{\frac{2 \times KE}{m}} \times m \]
Where:
Let's say the kinetic energy (KE) is 100 Joules and the mass (m) is 5 kg. Using the formula:
\[ p = \sqrt{\frac{2 \times 100}{5}} \times 5 = \sqrt{40} \times 5 = 6.32 \times 5 = 31.62 \text{ m/s*kg} \]
So, the momentum is 31.62 m/s*kg.
Definition: The relationship between energy and momentum in physics.
Formula: \( E = \frac{p^2}{2m} \)
Example: \( E = \frac{(10)^2}{2 \times 5} \)
Definition: The formula to express momentum in terms of kinetic energy.
Formula: \( p = \sqrt{2mE} \)
Example: \( p = \sqrt{2 \times 5 \times 50} \)
Definition: Momentum is the product of an object's mass and velocity.
Formula: \( p = mv \)
Example: \( p = 5 \times 10 \)
Definition: Converting kinetic energy to momentum using the relationship between them.
Formula: \( p = \sqrt{2mE} \)
Example: \( p = \sqrt{2 \times 3 \times 45} \)
Definition: The equation used to calculate the momentum of an object.
Formula: \( p = mv \)
Example: \( p = 8 \times 6 \)
