Subjects physics

Resultant Force Ed2Cf8

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Question: Question 23 A plate with mass of $0.75$ kg is tossed in the air, with air resistance acting like friction at $k = 0.001$. What is the resultant force pulling the plate down due to gravity? Use the friction formula. A. $6$ N B. $21.8$ N C. $7.34$ N D. $1.34$ N
1. **State the problem:** We need to find the resultant force pulling the plate down due to gravity, considering air resistance as friction with coefficient $k=0.001$. 2. **Given data:** - Mass of plate, $m = 0.75$ kg - Friction coefficient, $k = 0.001$ - Acceleration due to gravity, $g = 9.8$ m/s$^2$ 3. **Formula for gravitational force:** $$F_g = mg$$ 4. **Formula for frictional force (air resistance):** $$F_f = k v$$ where $v$ is the velocity of the plate. Since the problem does not provide velocity, we assume the friction force is negligible or we consider only gravity for resultant force pulling down. 5. **Calculate gravitational force:** $$F_g = 0.75 \times 9.8 = 7.35 \text{ N}$$ 6. **Resultant force pulling down:** Since friction force is very small and velocity is not given, the resultant force is approximately the gravitational force: $$F_{resultant} \approx 7.35 \text{ N}$$ 7. **Match with options:** Closest option is C. $7.34$ N. **Final answer:** C. $7.34$ N