Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

A student performs a ballistic pendulum experiment using an apparatus similar to

ID: 1375726 • Letter: A

Question

A student performs a ballistic pendulum experiment using an apparatus similar to that shown in the figure. Initially the bullet is fired at the block while the block is at rest (at its lowest swing point). After the bullet hits the block, the block rises to its highest position, see dashed block in the figure, and continues swinging back and forth. The following data is obtained: the maximum height the pendulum rises is 6 cm, the mass of the bullet is 76 g, and the mass of the pendulum bob is 858 kg.

a. Find the final velocity of the system (m1 + m2) immediately after the collision and before the pendulum starts to swing upward. The acceleration of gravity is 9.8 m/s 2 . Answer in units of m/s.

b. Find v1, the initial speed of m1. Answer in units of m/s.

A student performs a ballistic pendulum experiment using an apparatus similar to that shown in the figure. Initially the bullet is fired at the block while the block is at rest (at its lowest swing point). After the bullet hits the block, the block rises to its highest position, see dashed block in the figure, and continues swinging back and forth. The following data is obtained: the maximum height the pendulum rises is 6 cm, the mass of the bullet is 76 g, and the mass of the pendulum bob is 858 kg. a. Find the final velocity of the system (m1 + m2) immediately after the collision and before the pendulum starts to swing upward. The acceleration of gravity is 9.8 m/s 2 . Answer in units of m/s. b. Find v1, the initial speed of m1. Answer in units of m/s.

Explanation / Answer

To resolve this problem, we should to know over Impulse or momentum

Step 1.

Definition:

Impulse: The term "impulse" is also used to refer to a fast-acting force or impact. This type of impulse is often idealized so that the change in momentum produced by the force happens with no change in time. This sort of change is a step change, and is not physically possible. However, this is a useful model for computing the effects of ideal collisions

Momentum: In classical mechanics, linear momentum or translational momentum. Is the product of the mass and velocity of an object. For example, a heavy truck moving rapidly has a large momentum