Question

A 5.00 kg object undergoes an acceleration given by vector a = (2.00 i hat, 7.00 j) m/s². Find the magnitude of the resultant force acting on it in N.

Answer 1

To find the magnitude of the resultant force acting on a 5.00 kg object with a given acceleration vector, use Newton's second law and the Pythagorean theorem.

Step-by-step explanation:

The magnitude of the resultant force acting on a 5.00 kg object can be found by using Newton's second law, which states that force (F) equals mass (m) multiplied by acceleration (a). In this case, the acceleration is given by the vector a = (2.00 i hat, 7.00 j) m/s².

To find the magnitude of the resultant force, we need to calculate the magnitude of the acceleration vector. The magnitude of the acceleration vector can be found using the Pythagorean theorem, which states that the square of the magnitude of the acceleration vector is equal to the sum of the squares of its components.

Therefore, the magnitude of the resultant force can be calculated as follows:

|F| = m * |a| = 5.00 kg * √(2.00² + 7.00²) m/s².

By calculating the above expression, we can determine the magnitude of the resultant force acting on the object.