Q10 A hunter aims his gun and fires a bullet directly at a monkey. At the instant the bullet is fired, the monkey drops. The minimum speed for the bullet to hit monkey is
To calculate the minimum speed for the bullet to hit the monkey, we first need to consider the factors involved in the situation.
1. Gravity: The bullet will be subject to gravity, causing it to follow a curved path as it travels towards the monkey.
2. Distance: The bullet needs to cover a certain distance to reach the monkey. We don't have this specific distance given in the question.
3. Reaction time: The time it takes for the hunter to react and pull the trigger is not mentioned. However, for the bullet to hit the monkey precisely as it drops, we can assume that the hunter reacts instantaneously.
Given these factors, let's break down the problem into steps:
Step 1: Determine the time it takes for the bullet to reach the monkey.
Since the bullet is fired when the monkey drops, we can assume that they drop simultaneously. Therefore, the time it takes for the bullet to reach the monkey is equal to the time it takes for the monkey to fall.
Step 2: Calculate the time it takes for the monkey to fall.
The time it takes for an object to fall under the influence of gravity can be calculated using the formula:
time = √(2 * height / g)
where height is the distance fallen and g is the acceleration due to gravity (approximately 9.8 m/s^2).
Step 3: Calculate the minimum speed of the bullet.
To calculate the minimum speed, we need to know the horizontal distance the bullet needs to cover to reach the monkey. Without this information, it is not possible to determine the minimum speed of the bullet accurately.
Therefore, we cannot provide a specific answer to the question without the additional information on the distance the bullet needs to cover to hit the monkey.