If a 30kg box is accelerating upwards at 2.4 m/s², what is the magnitude of the upward force?
Final answer: Option b. The magnitude of the upward force exerted on a 30kg box with an upward acceleration of 2.4 m/s² is 366 N when considering the force of gravity.
Calculation of Upward Force on a Box Accelerating Upwards
Understanding Newton's Second Law of Motion:
Newton's second law of motion states that the force acting on an object is equal to the mass of the object multiplied by its acceleration, represented by the equation F = ma.
Given Data:
Mass (m) = 30kg
Acceleration (a) = 2.4 m/s²
Calculating the Force Exerted:
1. Multiply the mass of the box by the acceleration to find the force:
F = 30kg × 2.4 m/s²
F = 72 N
2. Consider the force of gravity acting downward at 9.8 m/s²:
Calculate the weight of the box:
Weight = 30kg × 9.8 m/s²
Weight = 294 N
3. Find the total upward force by adding the weight to the force calculated previously:
Total upward force = Force + Weight
Total upward force = 72 N + 294 N
Total upward force = 366 N
Therefore, the magnitude of the upward force exerted on the 30kg box accelerating upwards at 2.4 m/s² is 366 N, which corresponds to option b) in the given choices.