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Answer :
Final answer:
To determine the magnitude of the second force acting on a sphere experiencing a given acceleration and force, Newton's second law can be used in conjunction with vector addition of forces. However, without complete calculations, the exact value cannot be provided.
Explanation:
The student is asking about the magnitude of a second force exerted on a sphere when a known force and acceleration are given, including an angle above the x-axis. To find the magnitude of the second force, we can apply Newton's second law of motion. This law states that the force is the product of mass and acceleration (F = m * a). First, we need to break down the given acceleration into its x and y components using trigonometric functions, given the angle of 48º above the x-axis.
The total force in the x-direction can be found using the component of the acceleration in the x-direction (ax), the mass of the sphere, and the provided 137-N force. Then, we can use the y-component of the acceleration (ay) to find the required magnitude of the second force in the y-direction that is needed for the sphere to have the stated total acceleration. Using these components and the mass, we can solve for the second force's magnitude using vector addition.
However, since the complete calculations and answer options are not given, we are unable to definitively determine which option (a-d) is correct. The student will need to perform the vector addition of forces and compare the results with the provided answer choices.
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