To find the GCF, first you must factor the 2 or more numbers. The GCF is the highest factor the numbers have in common. for example: you have 12 and 8. If you factor out the numbers for 12, you get 1,2,3,4,6,12 For 8, you get: 1,2,4,8 the GCF of this pair is 4 because it is the highest number that goes into both 8 and 12. To find the LCM, you must find the first number that was multiplied and it must be the same. lets take 3 and 5. Multiply 3 by as many numbers you can think of. For now, lets just go up to 10. 3, 6, 9, 12 15, 18, 21, 24, 27, 30 now to the same for 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50 in both 3 and 5, the first set of numbers that match in 30- therefore the LCM of 3 and 5 in 30. I hope this helps!
What we have so far: Kinetic energy = 0. The reason behind that is because the beam is not moving at a height of 40m. Gavity, g = 9.8m/s² Height = 40m Potential energy = mgh; this is equal to 0 because m, stands for mass and in this problem, we do not have a value for the mass of the beam. Hence, 0 x 9.8m/s² x 40m = 0. Potential energy = 0.
Solution: We will use the equation of Total energy: TE = potential energy + kinetic energy
TE = 0 + 0
∴ TE = 0
The answer is: Assuming no air resistance, the total energy of the beam as it hits the ground is 0.
