Answer:
130 m/s²
Explanation:
The x and y components of the force are the negative partial derivatives of the potential energy function with respect to x and y.
Fx = -∂U/∂x
Fy = -∂U/∂y
Given that U = 5.80x² − 3.60y³:
Fx = -11.6x
Fy = 10.8y²
At the point (0.300, 0.600):
Fx = -11.6 (0.300) = -3.480
Fy = 10.8 (0.600)² = 3.888
The magnitude of the net force is:
F = √((-3.480)² + (3.888)²)
F = 5.218 N
The acceleration is therefore:
a = F/m
a = 5.218 N / 0.0400 kg
a = 130 m/s²
