A car traveling east at 92 km/h is passed by a truck moving at 105 km/h. From the point of view of the truck l, how fast is the
1 answer:
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Answer:
16.1 m/s
Explanation:
We can solve the problem by using the law of conservation of energy.
At the beginning, the spring is compressed by x = 35 cm = 0.35 m, and it stores an elastic potential energy given by
where k = 316 N/m is the spring constant. Once the block is released, the spring returns to its natural length and all its elastic potential energy is converted into kinetic energy of the block (which starts moving). This kinetic energy is equal to
where m = 0.15 kg is the mass of the block and v is its speed.
Since the energy must be conserved, we can equate the initial elastic energy of the spring to the final kinetic energy of the block, and from the equation we obtain we can find the speed of the block:
Answer:
(-1.5,-1.5)m
Explanation:
we know that:
where is the location of the center of gravity in the axis x,
is the mass of the object i and
the first coordinate of center of gravity of object i.
so:
Where is the first coordinate of the center of gravity for the fourth object.
Therefore, solving for , we get:
At the same way:
where is the location of the center of gravity in the axis y,
is the mass of the object i and
the second coordinate of center of gravity of object i. replacing values we get:
Where is the second coordinate of the center of gravity for the fourth object.
solving for :
It means that the object of mass 8kg have to be placed in the
coordinates (-1.5,-1.5) m.