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Two boxes are side-by-side on a frictionless horizontal surface as shown in the

ID: 1882723 • Letter: T

Question

Two boxes are side-by-side on a frictionless horizontal surface as shown in the figure below. In case 1, a horizontal force F directed right is applied to the box of mass M. In case 2, the horizontal force F is instead directed left and applied to the box of mass m. Let's say that M = 2m. Case 1 Case 2 in in Select the two correct statements from the list below. The magnitude of the acceleration of the two-box system is larger in case 1 than it is in case 2. The magnitude of the acceleration of the two-box system is smaller in case 1 than it is in case 2. The magnitude of the acceleration of the two-box system is equal in both cases The magnitude of the acceleration of the box of mass m is larger in case 1 than it is in case 2. The magnitude of the acceleration of the box of mass m is smaller in case 1 than it is in case 2. The magnitude of the acceleration of the box of mass m is equal in both cases. Once again, select the two correct statements from the list below. The magnitude of the force that the larger box exerts on the smaller box is larger in case 1 than it is in case 2. The magnitude of the force that the larger box exerts on the smaller box is smaller in case 1 than it is in case 2. The magnitude of the force that the larger box exerts on the smaller box is equal in both cases. The magnitude of the force that the smaller box exerts on the larger box is larger in case than it is in case 2. O The magnitude of the force that the smaller box exerts on the larger box is smaller in case 1 than it is in case 2. The magnitude of the force that the smaller box exerts on the larger box is equal in both cases.

Explanation / Answer

Since the acceleration for bot hthe cases is equal so the net force acting will also be equal in both the cases.

Hence, the magnitude of force that the larger box exerts on the smaller box will be larger in case 1 than it is in case 2.

The magnitude of the force the smaller box exerts on the larger box is smaller in case 1 than in case 2.

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