Question

The LCM of the smallest two digit prime number and smallest prime number is​

Answer 1

We have to find the LCM of the smallest two digit prime number and smallest prime number.

Solution :

the smallest two digit prime number is 11.

and the smallest prime number is 2

note : 1 is not considered as prime number in Morden mathematics

Now LCM of 11 and 2 = 11 × 2 = 22

Therefore the LCM of the smallest two digit prime number and smallest prime number is 22.

Answer 2

Given: An object of mass 2kg taken to height of 3 m, then 2 m horizontally and then vertically downward through 1 m. g= 10m/s^2

To find: Work done by gravity in whole process

Explanation: In first process, when object is taken upwards to a vertical height of 3 m , work done is negative since the displacement of body and direction of gravity is negative.

Work done in this process= mgh= - 2*10*3

= -60 J

In second process, the direction of gravity and displacement is in perpendicular direction. Therefore the work done is zero.

In third process, work done is positive since gravity and displacement is in same direction.

Work done in this process= 2*10*1

= 20 J

Therefore, the total work done= -60+20= -40 J

The total work done by gravity in this process is -40 J.