A bullet is moving at a spood of 367 ms* when it embeds into a lump of moist clay. The buller penetrates for a distance of 0.0621 m. Deterine the acceleration of the bullet while moving into the clay.
Question
Answer:
To determine the acceleration of the bullet while moving into the clay, we can use the formula for acceleration:
acceleration = change in velocity / time
However, in this case, we are not given the time it takes for the bullet to embed into the clay. Instead, we are given the initial velocity of the bullet (367 m/s) and the distance it penetrates into the clay (0.0621 m).
To find the acceleration, we need to use the equation of motion:
v^2 = u^2 + 2as
where:
v = final velocity (0 m/s, since the bullet comes to a stop)
u = initial velocity (367 m/s)
a = acceleration (unknown)
s = distance (0.0621 m)
Rearranging the equation, we can solve for acceleration:
a = (v^2 - u^2) / (2s)
Substituting the given values into the equation:
a = (0^2 - (367^2)) / (2 * 0.0621)
a = -1084452.496 m/s^2
Therefore, the acceleration of the bullet while moving into the clay is approximately -1084452.496 m/s^2. Note that the negative sign indicates that the acceleration is in the opposite direction of the initial velocity.
solved
general
11 months ago
2377