The chemical substances in food that help maintain our body are known as what?
2 answers:
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False: the force of gravity acting on different objects is different and depends on their mass
Explanation:
The answer is false.
The force of gravity acting on an object (also known as weight) near the Earth's surface is given by:
where:
m is the mass of the object
is the acceleration of gravity
We see from the formula that the force of gravity acting on an object depends on the mass: the larger the mass of the object, the stronger the gravitational force acting on it, and the smaller the mass, the weaker the force of gravity.
The factor that does not change is the acceleration of gravity, which is constant () if we are near the Earth's surface, and implies that all the objects in free fall accelerate at the same rate towards the ground, regardless of their size and weight.
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If the net force on a block is zero, the block will move at constant velocity
Explanation:
We can answer this question by applying Newton's second law of motion, which states that the net force on an object is equal to the product between its mass and its acceleration:
(1)
where
is the net force on the object
m is its mass
a is its acceleration
In this problem, we have a block, and the net force on it is zero:
According to eq.(1), this also implies that
So, the acceleration of the block is zero.
However, acceleration is the rate of change of velocity of a body:
where is the change in velocity in a time of
. Since the acceleration is zero, this means that
, and therefore the velocity of the object is constant.
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Answer:
Explanation:
The rotated angle is given by:
Since this is a quadratic equation it can be solved using:
Rewriting our equation:
Since we discard the negative solution.