How could you increase the kinetic Energy of an object without changing its mass or gravity? *
1 answer:
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1) Distance: 9 m, displacement: +5 m
2) The average speed is 3 m/s
3) The average velocity is +2 m/s
Explanation:
1)
We start by reminding the definitions of distance and displacement:
- Distance: it is the total length of the path covered by an object, regardless of the direction of motion
- Displacement: is the distance in a straight line between the initial position and final position of motion
Let's now analyze the motion represented in the figure:
Initial position:
Intermediate position:
Final position:
Therefore, the distance covered is
While the displacement is:
2)
The average speed is a scalar quantity defined as
where
d is the distance travelled
t is the time taken
For the object in this problem,
d = 6 m
t = 2 s
Substituting, we find the average speed:
3)
The average velocity is a vector quantity defined as
where
d is the displacement
t is the time interval
For the object in this problem,
d = +12 m
t = 6 s
Substituting, we find the average velocity:
Where the positive sign + indicates the direction of the velocity vector.
Learn more about average speed and average velocity:
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Answer:
25 m/s in the opposite direction with the ship recoil velocity.
Explanation:
Assume the ship recoil velocity and velocity of the cannon ball aligns. By the law of momentum conservation, the momentum is conserved before and after the shooting. Before the shooting, the total momentum is 0 due to system is at rest. Therefore, the total momentum after the shooting must also be 0:
where are masses of the ship and ball respectively.
are the velocities of the ship and ball respectively, after the shooting.
So the cannon ball has a velocity of 25 m/s in the opposite direction with the ship recoil velocity.