an 8 kilogram ball is fired horizontally form a 1 times 10^3 kilogram cannon initially at rest after having been fired the momen
2 answers:
After the ball is shot, the cannon will move at a speed of 2.4 m/s.
We must learn more about the rule of conservation of linear momentum in order to locate the solution.
How can I determine the cannon's post-ball velocity magnitude?
- According to the law of conservation of linear momentum, a system's starting and ultimate velocities are equal.
- Since the cannon's initial velocity is 0 in this case, the system's initial momentum will be equal to zero as well.
- We have,
- When a cannon fires a ball, the cannon will recoil quickly and in the opposite direction of the ball's motion.
- Given that it is now moving eastward, the recoil momentum is towards the west.
- As a result, when the ball is fired, the cannon's velocity will be,
Thus, we can infer that the cannon's maximum speed once the ball is fired is 2.4 m/s.
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The magnitude of the cannons velocity after the ball is fired will be 2.4m/s.
To find the answer, we have to know more about the law of conservation of linear momentum.
<h3>How to find the magnitude of the cannons velocity after the ball is fired?</h3>- The law of conservation of linear momentum states that, the initial momentum of a system will be equal to the final momentum.
- Here, then initial momentum of the system will be equal to zero, since the initial velocity of the cannon is equal to zero.
- Given that,
- When the ball is fired from the canon, then the cannon will have a recoil velocity in the opposite direction of motion of the ball.
- Since it has a final momentum towards east, the recoil momentum will be in the west.
- Thus, the velocity of the cannon after when the ball is fired will be,
Thus, we can conclude that, the magnitude of the cannons velocity after the ball is fired is 2.4m/s.
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Answer:
The period of motion of new mass T = 0.637 sec
Explanation:
Given data
Mass of object (m) = 9 gm = 0.009 kg
Δx = 3.5 cm = 0.035 m
We know that spring force is given by
F = m g
F = 0.009 × 9.81 = 0.08829 N
Spring constant
k = 2.522
New mass = 26 gm = 0.026 kg
Now the period of motion is given by
T = 0.637 sec
This is the period of motion of new mass.
The time taken by the light reflected from sun to reach on earth will be 8.4 minutes.
To find the answer, we need to know about the distance travelled by light.
<h3>How to find the time taken by the light reflected from sun to reach on earth?</h3>- So, in order to solve this problem, we must first know how far the moon is from Earth and how far the Sun is from the moon.
- These distances are given as 3.8×10^5 km (Earth-Moon) and 1.5×10^8 km (Sun- Earth).
- Since the Moon and Sun are on opposite sides of Earth during a full moon, the light's distance traveled equals,
- As we know that light travels at a speed of 300,000 km per second. then, the time taken by the light reflected from sun to reach on earth will be,
Thus, the time it takes for the light from the Sun to reach Earth and be recognized as 8.4 minutes.
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