Answer:
Explanation:
Hello,
In this case, since the acceleration in terms of position is defined as its second derivative:
The purpose here is derive x(t) twice as follows:
Thus, the acceleration turns out 4.8 meters per squared seconds.
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A mineral is a naturally occurring inorganic solid, with a definite chemical composition, and an ordered atomic arrangement. This may seem a bit of a mouthful, but if you break it down it becomes simpler.
Minerals are naturally occurring
They are not made by humans
Minerals are inorganic
They have never been alive and are not made up from plants or animals
Minerals are solids
They are not liquids (like water), or gases (like the air around you)
Minerals have a definite chemical composition
Each one is made of a particular mix of chemical elements
Minerals have an ordered atomic arrangement
The chemical elements that make up each mineral are arranged in a particular way - this is why minerals 'grow' as crystals
From the information given, there is a 15 kg mass that needs to be accelerated to a velocity of 2.8m/s²
We use the formula: F = m × v.
Where F = force, m = mass and v = velocity.
In our case, m = 15kg and v = 2.8m/s². Therefore:
F = m × v.
F = 15 × 2.8.
F = 42.
Therefore the net force needed to accelerate the 15kg mass to 2.8m/s² is 42 kg m/s² (or 42 Newtons)
Part A.
To get the acceleration of the system we consider the two blocks as a single mass. For this situation we have, from Newton's second law, that:
where T is the tension in the upper sting and W is the weight of the system. Solving the equation for a we have:
Therefore the acceleration of the system is 2.42 meters per second per second.
Part B.
Now, that we have the acceleration of the system we analyze the lower block individually; for this block the equation of motion is:
where T' is the tension in the lower rope, W' is the weight of the lower block and m2 is its mass. Solving for the tension we have that:
Therefore the tension in the lower rope is 2.93 N