Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

instructions: a student gathers the data in the table below using a min…

Question

instructions: a student gathers the data in the table below using a miniature wrecking ball, which they are swinging into a model of a building. wrecking ball mass

wrecking ballmassdistance wall moves
2600 kg2 cm
31000 kg50 cm
42000 kg100 cm

1 fill in the blank 1 point select the claim, evidence and reasoning that best fit the data shown at right. claim: as mass increases, choose your answer... evidence: choose your answer... the distance the wall moved is a way of showing how much choose your answer... as it transfers energy to the wall. reasoning: using this information, we can conclude that choose your answer... instructions: a wrecking - ball was dropped from different heights the longer the wrecking ball dropped the faster it was falling when it hit the wall. using the data below, describe the relationship between the speed of an object and its kinetic energy. wrecking ball speed

wrecking ball dropheight when droppeddistance wall moves
test 27 m3 cm
test 315 m55 cm
test 425 m102 cm

2 fill in the blank 1 point below, predict how the data at left was most likely collected in an experimental setting by identifying the independent, dependent, and control variables. then, draw conclusions pertaining to the relationship between speed of an object and that objects kinetic energy. independent variable: choose your answer... dependent variable: choose your answer... control variable: choose your answer...

Explanation:

Step1: Analyze mass - distance relationship

As the mass of the wrecking ball increases (from 450 kg to 2000 kg), the distance the wall moves also increases (from 0 cm to 100 cm). So the claim is "As mass increases, the distance the wall moves increases".

Step2: Identify evidence

The evidence is the data points in the table: wrecking ball 1 with mass 450 kg moves the wall 0 cm, wrecking ball 2 with mass 600 kg moves the wall 2 cm, wrecking ball 3 with mass 1000 kg moves the wall 50 cm and wrecking ball 4 with mass 2000 kg moves the wall 100 cm.

Step3: Reasoning about energy transfer

The distance the wall moves is a way of showing how much kinetic energy the wrecking - ball has as it transfers energy to the wall. Using this information, we can conclude that more massive objects have more kinetic energy (assuming same speed conditions in this context of mass - distance relationship).

Step4: Analyze speed - distance relationship (second part)

For the second part about the wrecking ball dropped from different heights, the independent variable is the height when dropped because it is the variable that is being changed (5 m, 7 m, 15 m, 25 m). The dependent variable is the distance the wall moves as it depends on the height from which the ball is dropped. A possible control variable could be the mass of the wrecking ball (if it is kept constant throughout the experiment).

Answer:

1.

  • Claim: As mass increases, the distance the wall moves increases
  • Evidence: Wrecking ball 1 (450 kg, 0 cm), wrecking ball 2 (600 kg, 2 cm), wrecking ball 3 (1000 kg, 50 cm), wrecking ball 4 (2000 kg, 100 cm)
  • Reasoning: The distance the wall moves shows kinetic - energy transfer; more massive objects have more kinetic energy (assuming same speed conditions)

2.

  • Independent Variable: Height when dropped
  • Dependent Variable: Distance the wall moves
  • Control Variable: Mass of the wrecking ball (assuming constant)