5-a). Acceleration is a vector defined as the rate of change of velocity.
Its magnitude has units of [length/time²]. The SI unit is meter/second².
Its direction is the direction in which velocity is increasing.
5-b). The graph says that the object's speed is not changing.
When we look at any time, from zero to almost 50 minutes, the
object's speed is the same . . . 60 m/s . This will make it easy.
There are 60 seconds in a minute, so 30 minutes = 1,800 seconds.
In every one of those seconds, the object covered 60 meters.
It travelled a total of (60 m/s)·(1,800 s) = 108,000 meters (108 km) .
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Answer:
Distance = 0.738 m
Explanation:
Solution:
<u>
First convert Km/h into m/s.</u>
75 km/h * 1000 m/km * 1 hr/3600 sec = 20.8333 m/s
<u>According to third equation of motion:
</u>
–
= 2 * acceleration * distance
<em>
Vf= final velocity </em>
<em>Vi= initial velocity</em>
putting values in third equation of motion....
–
= 2 * (-30 * 9.8) * distance
note:
negative sign is due to deceleration
Distance = 0.738 m
Answer:
The energy stored in the capacitor quadruples its original value.
Explanation:
The energy stored in a capacitor is given by the equation

where
C is the capacitance
V is the voltage across the plates
The capacitance, C, depends only on the properties of the capacitor, so it does not change when the voltage applied is changed.
Instead, in this problem the voltage applied is doubled:
V' = 2V
So the new energy stored is

so, the energy stored has quadrupled.
Answer: 14.28 m/s
Explanation:
Assuming the girl is spinning with <u>uniform circular motion</u>, her centripetal acceleration
is given by the following equation:
(1)
Where:
is the <u>centripetal acceleration</u>
is the<u> tangential speed</u>
is the <u>radius</u> of the circle
Isolating
from (1):
(2)
<u />
Finally:
This is the girl's tangential speed