Work by a variable force = area under the F–x graphपरिवर्ती बल द्वारा कार्य = F–x ग्राफ के नीचे का क्षेत्रफल

NCERT Fig 5.4 · interactive diagram

Parts and their functions

• Applied force F(x) (आरोपित बल F(x)) — 100 N for 0–10 m, then falls linearly to 50 N at 20 m.
• Work by the woman (महिला द्वारा कार्य) — Rectangle 100 × 10 = 1000 J + trapezium ½(100 + 50) × 10 = 750 J ⇒ W_F = 1750 J.
• Work by friction (घर्षण द्वारा कार्य) — Friction −50 N over 20 m ⇒ W_f = −1000 J.
• Area rule (क्षेत्रफल नियम) — W = ∫F dx, the area under F–x (area below the axis counts negative).

Original diagram drawn by Simple Learning Hub, based on NCERT Fig 5.4. Report a mistake