A block of wood of mass 2 kg is placed over the muzzle of a rifle, and a bullet of mass 25 g is fired vertically upward. The bullet embeds in the wood, which rises to a macimum height of 3 m. Calculate the muzzle velocity of the bullet. **Example of a Hanging Object on a Spring**In the provided illustration, we observe an example of a hanging object attached to a spring, commonly used in physics to demonstrate principles such as Hooke's Law and gravitational force.**Description:**1. **Object and Spring Arrangement:** - There is an oblong-shaped object attached to a horizontal spring. - The object appears to have a mass of 2 kg, as indicated in the diagram. - The object is hanging freely under the influence of gravity. - The spring is anchored to a fixed support at the top.2. **Dimensions:** - The distance between the top fixed support of the spring and the bottom of the mass is marked as 3 meters.**Understanding the Setup:**- This setup is often used to calculate the force exerted by the spring (spring force), which can be done using Hooke's Law:\[F = -kx\] Where: \[ F \text{ is the force exerted by the spring}, \\ k \text{ is the spring constant}, \\ x \text{ is the extension or compression of the spring from its natural length}.\]- Gravitational force acting on the mass can be calculated using:\[F = mg \] Where: \[ m \text{ is the mass}, \\ g \text{ is the acceleration due to gravity (approximately 9.8 m/s}^2\text{)}.\]In this case, the gravitational force acting on the 2 kg mass would be:\[F = 2 \text{ kg} \times 9.8 \text{ m/s}^2 = 19.6 \text{ N}\]- When the system is at equilibrium, the spring force equals the gravitational force, allowing the solving for variables such as the spring constant \( k \).This diagram and its interpretation can help in understanding basic mechanical principles, particularly related to elastic forces, oscillations, and energy conservation in physics.

Name: A block of wood of mass 2 kg is placed over the muzzle of a rifle, and
Uploaded: 2024-03-20T06:57:37.000Z
Channel: Bartleby
Description: A block of wood of mass 2 kg is placed over the muzzle of a rifle, and a bullet of mass 25 g is fired vertically upward. The bullet embeds in the wood, which rises to a macimum height of 3 m. Calculate the muzzle velocity of the bullet. **Example of