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Two objects are at rest on a frictionless surface. Object 1 has a greater mass than object 2.(b)When a force is applied to object 1, it accelerates for a time interval Δt. The force is removed from object 1 and is applied to object 2. Which statements are true after object 2 has accelerated for the same time interval Δt? (Select all that apply.)

1 Answer

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Statements 2 and 3 are true, while statement 1 is false.

After object 2 has accelerated for the same time interval Δt, the following statements are true:

Object 2 will have a higher acceleration than object 1.

Object 2 will have a higher velocity than object 1.

Object 2 will have a higher momentum than object 1.

Step-by-step explanation:

When the same force is applied to both objects for the same time interval Δt, the resulting acceleration experienced by an object depends on its mass. Since object 1 has a greater mass than object 2, it will experience a lower acceleration.

However, after the same time interval Δt, object 2 will have reached a higher velocity than object 1. This is because object 2 initially had a lower mass, and since both objects experienced the same force, the lower mass of object 2 allows it to achieve a higher velocity in the same time.

Lastly, the momentum of an object is directly proportional to its mass and velocity. Since object 2 has a higher velocity than object 1 after the same time interval Δt, and its mass is lower, it will have a higher momentum than object 1.

Therefore, statements 2 and 3 are true, while statement 1 is false.

User Chris Hilton
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