a balloon is rising up with an acceleration of 25meter per second a body is dropped from the balloon when its upward velocity is 300meter per second. what are there values of velocity and acceleration of the body at the instant it is dropped?
To find the values of velocity and acceleration of the body when it is dropped from the balloon, we need to consider the motion of both the balloon and the body.
Given information:
Acceleration of the balloon, a_balloon = 25 m/s² (upward)
Upward velocity of the balloon before the body is dropped, v_balloon = 300 m/s (upward)
When the body is dropped, it becomes momentarily free from the balloon's motion and experiences only the acceleration due to gravity, which is approximately 9.8 m/s² (assuming no air resistance).
Let's analyze the motion of the body at the instant it is dropped:
1. Velocity of the body when it is dropped:
Since the body is initially moving with the same velocity as the balloon (300 m/s upward) and there are no external forces acting on the body, its relative velocity becomes zero. Therefore, the velocity of the body when dropped is 0 m/s.
2. Acceleration of the body when it is dropped:
The acceleration of the body at the instant it is dropped is solely due to gravity. On Earth, gravity exerts an acceleration of approximately 9.8 m/s² downward on all objects. Thus, the acceleration of the body when dropped is 9.8 m/s² downward.
To summarize:
- Velocity of the body when dropped = 0 m/s
- Acceleration of the body when dropped = 9.8 m/s² downward