The Ratio of Forces: Cement Floor vs Sand Floor
Calculation Explanation:
Given data:
- Height on Cement Floor (hâ) = 1m
- Time taken on Cement Floor (tâ) = 0.1 seconds
- Height on Sand Floor (hâ) = 9m
- Time taken on Sand Floor (tâ) = 1 second
Using the formula for force:
F = ma = m(v - u) / t = mâ2gh / t
Calculating the ratio of forces:
Fâ/Fâ = âhâ/hâ Ã tâ/tâ
Substituting the values:
â1/9 Ã 0.1/1 = 1/3 Ã 1/10 = 1/30 = 3/10 F
Therefore, the ratio of forces between Ram jumping onto a cement floor and a sand floor is 3/10 F.