The period of a simple pendulum is given by
where
L is the pendulum length
g is the acceleration of gravity
If we move the same pendulum from Earth to the Moon, its length L remains the same, while the acceleration of gravity g changes. So we can write the period of the pendulum on Earth as:
where
is the acceleration of gravity on Earth, while the period of the pendulum on the Moon is
where
is the acceleration of gravity on the Moon.
If we do the ratio of the two periods, we get
but the gravity acceleration on the Moon is 1/6 of the gravity acceleration on Earth, so we can write
and we can rewrite the previous ratio as
so the period of the pendulum on the Moon is
Extension of the elbow? im not sure
The pressure acting on an area of 20 m² with force 50 N is 2.5 Nm² and the pressure acting on an area of 0.5 m² with force 50 N is 100 Nm².
The force acting on area of 3 m² with pressure 10 Pa is 30 N.
Explanation:
Pressure acting on any surface is the amount of force experienced by that surface in a given area. So it is the ratio of force to area of the object under consideration.
As here the force is said to be 50 N and the area is said to be 20 m², the pressure will be
So, pressure is inversely proportional to the area and directly proportional to the force acting on the surface. As it can be seen that on decreasing the area to 0.5 m², there will be increase in the pressure as shown below,
Thus, the pressure increased to 100 Nm² from 2.5 Nm² on decreasing the area from 20 m² to 0.5 m².
Similarly, if 10 Pa pressure is acting on an area of 3 m², then the force acting on this region will be the product of pressure with the area.
Thus, the pressure acting on an area of 20 m² with force 50 N is 2.5 Nm² and the pressure acting on an area of 0.5 m² with force 50 N is 100 Nm².
The force acting on area of 3 m² with pressure 10 Pa is 30 N.
Please fell free to ask if you have any more confusion!
<u>Answers</u>
same distance from the mirror as the object
same size
lateral inversion
<u>Explanation</u>
The image formed by a plane mirror is formed at equal distance from the mirror as the object is.
The size of the image is the same as the size of the object.
The image is laterally inverted. This means that, when a person lifts his right hand, his or her image will raise it's left hand.