Two ladybugs sit on a rotating disk that is slowing down at a constant rate. The ladybugs are at rest with respect to the surfac
1 answer:
The two ladybugs have same rotational (angular) speed
Explanation:
The rotational (angular) speed of an object in circular motion is defined as:
where
is the angular displacement
t is the time interval considered
Here we have two ladybugs, which are located at two different distances from the axis. In particular, ladybug 1 is halfway between ladybug 2 and the axis of rotation. However, since they rotate together with the disk, and the disk is a rigid body, every point of the disk cover the same angle in the same time
: this means that every point along the disk has the same angular speed, and therefore the two ladybugs also have the same angular speed.
On the other hand, the linear speed of the two ladybugs is different, because it follows the equation:
where r is the distance from the axis: and since the two ladybugs are located at different , they have different linear speed.
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Answer:
The potential difference across the plates is 226 V.
Explanation:
Given;
area of the capacitor plate, A = 0.2 m²
separation, d = 0.1 mm = 0.1 x 10⁻³ m
charge on each plate, Q = 4 x 10⁻⁶ C
Charge on the capacitor is given by;
Q = CV
Where;
C is the capacitance of the capacitor, given as;
C = ε₀A / d
Then, the potential difference across the plates is given by;
Therefore, the potential difference across the plates is 226 V.
a. Speed is defined as rate of change of distance per unit time whereas velocity is defined as rate of change of displacement per unit time.
b. is the total time taken in the trip
c. is the total distance
d. towards right from the starting point.
e.
f. towards right.
Explanation:
a.
Speed is a scalar quantity while velocity is a vector quantity.
Speed is defined as rate of change of distance per unit time whereas velocity is defined as rate of change of displacement per unit time.
Speed is a directionless quantity while velocity constitutes direction.
b.
<em>Total time of round trip when we're given:</em>
- distance travelled to the right,
- speed while travelling to the right,
- time spent at gas station,
- time spent while travelling back towards the left,
- speed while travelling to the left,
<em>Now time taken for travelling towards right:</em>
<u>Therefore total time taken in the round trip:</u>
c.
<em>Now, distance travelled towards left:</em>
<u>Therefore total distance:</u>
d.
Now, total displacement:
towards right from the starting point.
e.
<u>Average speed:</u>
f.
<u>Average velocity:</u>
towards right.