Question

Two objects are at rest on a frictionless surface. Object 1 has a greater mass than object 2.

(a) When a constant force is applied to object 1, it accelerates through a distance *d* in a straight line. The force is removed from object 1 and is applied to object 2. At the moment when object 2 has accelerated through the same distance *d*, which statements are true? (Select all that apply.)

(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.)
*K*_{1} > *K*_{2,} *p*_{1} < *p*_{2,} *K*_{1} < *K*_{2,} *p*_{1} > *p*_{2,} *p*_{1} = *p*_{2,} *K*_{1} = *K*_{2}

Step 1

(a)

Let the mass of object 1 be *M* and the mass of object 2 be *m*. Given that *M>m.* According to Newton’s law, the acceleration on the objects can be expressed in terms of the force applied on them and their masses as,

Step 2

Since both the objects are moving from rest, their initial speed is zero. Thus, their final speed as they travel a distance *d* can be computed as,

Step 3

The momentum of the two objects when they cover a di...

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