Question

use the following data table to answer questions 10 - 12.

1. according to the data, which of the following statements is correct?

effects of mass and speed on ke data
when the mass of the cart was doubled, the distance the box moved also doubled
when the speed of the cart was doubled, the distance the box moved also doubled
when the mass was 128.4 g, the box moved 10.2 cm
when the speed was 93 cm/sec the box moved 40.5 cm.

Explanation:

Step1: Analyze each option

• For the first option:

Condition A has mass \(m = 64.2\)g and distance \(d=10.2\)cm. Condition B has mass \(m = 128.4\)g (double of A) and distance \(d = 20.4\)cm (double of A).

• For the second option:

Condition A has speed \(v = 93\)cm/sec and distance \(d = 10.2\)cm. Condition C has speed \(v=186\)cm/sec (double of A) and distance \(d = 40.5\)cm (not double of \(10.2\)).

• For the third option:

When mass is \(128.4\)g (Condition B), distance is \(20.4\)cm, not \(10.2\)cm.

• For the fourth option:

When speed is \(93\)cm/sec (Condition A and B), distance is \(10.2\)cm or \(20.4\)cm, not \(40.5\)cm.

Answer:

When the mass of the cart was doubled, the distance the box moved also doubled.