Understanding the Forces
* Gravity: The Earth pulls on the plant downward with a force called gravity. This force is calculated using the equation: *Force of Gravity (Fg) = mass (m) × acceleration due to gravity (g)*.
* Tension: The cable pulls upward on the plant with a force called tension. This force is what counteracts gravity and keeps the plant from falling.
Calculating the Force
1. Acceleration due to gravity (g): The standard value for acceleration due to gravity on Earth is approximately 9.8 m/s².
2. Calculate the force of gravity (Fg):
* Fg = m × g
* Fg = 10 kg × 9.8 m/s²
* Fg = 98 N (Newtons)
3. The force exerted by the cable (tension): Since the plant is hanging stationary, the force of gravity pulling down must be balanced by an equal and opposite force pulling up. Therefore, the tension in the cable is also 98 N.
Conclusion
The cable exerts a force of 98 Newtons on the hanging plant.
