Question

Two objects are located on an airtrack. The magnitude of the charge on object A is 3 times higher than on object B, and object A also has a 8 times higher mass than object B. Which one of the following is true for the magnitudes of the accelerations (not drawn to scale or necessarily in the correct direction)?a. laAl = 3laBlb. |aA|=|aB|/8c. |aA|=24|aB|d. |aA|=8|aB|e. 3|aA|=|aB|d. 24|aA|=|aB|e. Cannot tell, since we need to know the sign of the charges.f. Cannot tell, since we need to know the distance between the charges.g. Cannot tell, since we need to know the current velocity of the charges

Answer 1

Due to Newton's Second Law, object A with its greater mass will accelerate less than object B under the same force. Thus, the magnitude of acceleration for object A is 1/8 that of object B. The correct answer is |aA| = |aB|/8.

Step-by-step explanation:

The question presented asks about the relationship between the magnitudes of the accelerations (denoted as |aA| and |aB|) of two charged objects on an airtrack, object A and object B, where object A is three times more charged and eight times more massive than object B. According to Coulomb's Law, the force experienced by both objects due to their charge interaction will be the same magnitude but in opposite directions. However, their accelerations will differ due to Newton's Second Law of Motion (F = m*a), because the forces are applied to objects of different masses.

Thus, object A with a higher mass will experience a smaller acceleration compared to object B when subjected to the same force. The correct relationship between the accelerations should indicate that the acceleration of object A is smaller than that of object B, and can be found by dividing the force (which is the same for both) by the mass of each object. Since object A's mass is 8 times that of object B, object A's acceleration will be 1/8 the acceleration of object B. Therefore, the correct answer is that |aA| = |aB|/8.

Answer 2

Option f is true. cannot tell since we need to know the distance between two charges

Step-by-step explanation:

Distance between two charges is a factor in the force between them that is F = m * A = (k * q1 * q2)/ r²

Where f = force , m= acceleration, a = acceleration, k = constant, q1 and q2 = charges, r = distance between the two charges.

Since r is not giving , magnitude of acceleration can't be determined.