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Answer:
Explanation:
In order to find the acceleration of the block, we have to find the net force acting on it along the direction parallel to the incline.
However, there is only one force acting on the block along this direction: it is the component of the weight parallel to the plane, given by
where
m = 15 kg is the mass of the block
is the acceleration of gravity
is the angle of the incline
According to Newton's second law, the net force is proportional to the acceleration, a:
So we can write:
And so, the acceleration is:
The final common speed of the two carts will be 69.3 m/sec.The momentum conservation principle is applied.
<h3>What is the law of conservation of momentum?</h3>According to the law of conservation of momentum, the momentum of the body before the collision is always equal to the momentum of the body after the collision.
Unit conversion:
1 metric tons = 1000 kg
Given data;
m₁= 11.6 metric ton =11600 kg
m₂ = 23.2 metric ton = 23200 kg
Let v represent the combined velocity of the two carts once they are connected, and let u represent the starting velocity of cart 1 when it reaches the bottom.
Considering energy conservation;
From the conservation of momentum principle;
Hence, the final common speed of the two carts will be 69.3 m/sec.
To learn more about the law of conservation of momentum refer;
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