Answer:
2.5 × 10⁴ mi/h = 1.1 × 10⁴ m/s
Explanation:
Hi there!
We have the following equivalencies:
1 mile = 1609 m
1 hour = 3600 s
Then to convert miles to meters, we can multiply the given quantity in miles by ( 1609 m/ 1 mile) and we will obtain the same quantity in meters. In the same way, if we want to convert hours into seconds, we can multiply the given quantity in hours by (3600 s/ 1 hour) and we will obtain seconds.
Let´s convert miles per hour into m/s:
= 1.1 × 10⁴ m/s (notice how the units mi and h cancel)
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The average velocity = Displacement between two points/ Time taken for that displacement
In this case An ion's position vector is initially r = 8.0 i - 4.0 j + 3.0 k, and 8.0 s later it is r = 4.0 i + 8.0 j - 6.0 k
So, displacement = 4.0 i + 8.0 j - 6.0 k - (8.0 i - 4.0 j + 3.0 k)
= -4.0 i + 12.0 j - 9.0 k
So velocity, V = (-4.0 i + 12.0 j - 9.0 k)/8
= -0.5 i + 1.5 j - 1.125 k
So average velocity during 8 seconds = -0.5 i + 1.5 j - 1.125 k
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Answer:
Speed of 0.08 kg mass when it will reach to the bottom position is 1.94 m/s
Explanation:
When rod is released from rest then due to unbalanced torque about the hinge the system will rotate
Now moment of inertia of the system is given as
now we have
now we have
so we have
now by energy conservation we can say work done by gravity must be equal to change in kinetic energy
so we have
Now speed of 0.08 kg mass when it reaches to bottom point is given as
