The force sensor measures the force on the sensor due to thebumper, but the cart

Question

The force sensor measures the force on the sensor due to thebumper, but the cart's momentum change arises from the force on thecart due to the bumper. Which of the following facts are needed toassert that the magnitude of these two forces are nearly equal atall times.
A. Their magnitudes differ by the magnitude of the net force on thebumper.
B. The force of friction is small.
C. The net force on the bumper is small.
D. The cart's weight is canceled by the the normal force exerted bythe track.
1. A, B
2. A, C
3. A, D
4. B, C
5. B, D
6. C, D
7. A, B, C,D

Thanks!
A. Their magnitudes differ by the magnitude of the net force on thebumper.
B. The force of friction is small.
C. The net force on the bumper is small.
D. The cart's weight is canceled by the the normal force exerted bythe track.
1. A, B
2. A, C
3. A, D
4. B, C
5. B, D
6. C, D
7. A, B, C,D

Thanks!
1. A, B
2. A, C
3. A, D
4. B, C
5. B, D
6. C, D
7. A, B, C,D

Thanks!

Explanation / Answer

Basically, the change of momentum is due to the net force on thecart. While the sensor is measuring only the force on the cart dueto the bumper. The question is then: why are these two forcesnearly equal? Another way of saying this is: why can you ignore all the otherforces on the cart, beside the force exerted by the bumper? Hint: what are the forces on the cart during the collision? Why canyou ignore all the other forces beside the bumper force? So during the collision, there is the force due to the bumper, alittle bit of friction, the normal and the weight. The question is : why can't we forget about the normal, the weightand the friction is say that the net force is basically just due tothe force of the bumper? there is no reason to say that the force of the bumper is muchlarger than the weight of the normal but we can forget about thosebecause they cancel out. And we can forget about the friction force because it must be muchsmaller than the bumper's force. Choice A says that the magnitude of the bumper's force and the netforce differ by the net force on the bumper. This does not makesense. And there is nothing that says that the bumper force issmall. So here you go...

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