1) Think of planting a tree. You dig the hole, put it in, and fill it back in. Next,
1 answer:
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Answer:
Explanation:
The velocity v₁ can be calculated with the kinematic formula:
Since the object is initially at rest, v₁ becomes:
Where g is the acceleration due to gravity. Now, the velocity v₂ can be calculated with the same formula, but now the initial velocity is v₁:
Substituting v₁ in this expression and solving for v₂, we get:
Now, dividing v₂ over v₁, we get the expression:
It means that v₂ is √2 times v₁.
Answer:
<em>Second option</em>
Explanation:
<u>Linear Momentum</u>
The linear momentum of an object of mass m and speed v is
P=mv
If two or more objects are interacting in the same axis, the total momentum is
Where the speeds must be signed according to a fixed reference
The images show a cart of mass 2m moves to the left with speed v since our reference is positive to the right
The second cart of mass m goes to the right at a speed v
The total momentum before the impact is
The total momentum after the collision is negative, both carts will join and go to the left side
The first option shows both carts with the same momentum before the collision and therefore, zero momentum after. It's not correct as we have already proven
The third option shows the 2m cart has a positive greater momentum than the other one. We have proven the 2m car has negative momentum. This option is not correct either
The fourth option shows the two carts keep separated after the collision, which contradicts the condition of the question regarding "they hook together".
The second option is the correct one because the mass has a negative momentum and then the sum of both masses keeps being negative