Explanation:
Option D all of the above
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The impulse-theorem states that the change in momentum of an object is equal to the impulse exerted on it
Explanation:
The impulse-theorem states that the change in momentum of an object is equal to the impulse exerted on it.
Mathematically, we have:
- The impulse is defined as the product between the force exerted (F) and the duration of the collision ():
- The change in momentum is equal to the product between the mass of the object (m) and the change in velocity ():
So, the theorem can be written as
This theorem can be proved by using Newton's second law. In fact, we know that
(1)
where a is the acceleration of the object. However, we can re-write the acceleration as the rate of change of velocity:
Therefore, (1) becomes:
And by re-arranging,
Which is exactly the formula of the impulse theorem.
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Answer:
Explanation:
(a) Free-body diagram attached.
(b) The stone attached with the string experiences both centripetal (towards the center) and centrifugal (away from the center) forces. The tension of the string counters the centrifugal force until it breaks.
We know that,
Centrifugal force =
where,
= mass of the stone
= velocity of the stone
= length of the string
To find the maximum speed attained by the stone without the string breaking, we must equate:
or,
The time of fall for the two balloons is equal.
Here the conditions given resembles a free fall. Since the air resistance is negligible, gravitational force is the only force acting on both the balloons which means the two balloons are falling in a vacuum. In a vacuum, if two objects of different mass are thrown from the same height, both objects will reach the ground at the same time.
Free fall is nothing but a condition in which an object falls solely under the influence of gravity.
Therefore, the time of fall for both yellow and red water balloons is equal no matter the weight where air resistance is negligible.
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Answer:
Given:
Initial speed (u) = 22 m/s
Final speed (v) = 0 m/s (Rest)
Time taken (t) = 4 seconds
To Find:
Distance travelled by car (s)
Explanation:
From equation of motion of object moving with uniform acceleration in straight line we have:
By substituting value of v, u & t in the equation we get:
Distance travelled by car (s) = 44 m