Final answer:
The resistive force, also known as the stopping force, is the force that opposes the motion of an object. In this case, we can determine the resistive force of the bullet by calculating the deceleration and using the formula: Stopping force = mass x deceleration. The resistive force of the bullet is -4000 N.
Step-by-step explanation:
The resistive force, also known as the stopping force, is the force that opposes the motion of an object. In this case, the resistive force is the force exerted by the wood to stop the bullet. To determine the resistive force of the bullet, we can use the formula:
Stopping force = mass of the bullet x deceleration
First, let's convert the mass of the bullet from grams to kilograms: 20 gm = 0.02 kg.
Next, we can calculate the deceleration using the equation: final velocity squared = initial velocity squared + 2 x acceleration x distance.
Given that the initial velocity is 200 m/s, final velocity is 0 m/s, and distance is 6 cm (which is 0.06 m), we can solve for the deceleration. Rearranging the equation, we have: acceleration = (final velocity squared - initial velocity squared) / (2 x distance).
Plugging in the values, we get: acceleration = (0 m/s - (200 m/s)^2) / (2 x 0.06 m).
Calculating this, we find that the deceleration is -200000 m/s^2.
Finally, we can calculate the stopping force using the formula: Stopping force = mass of the bullet x deceleration.
Plugging in the values, we have: Stopping force = 0.02 kg x -200000 m/s^2. Calculating this, we find that the resistive force of the bullet is -4000 N.