Mass Weight and Gravity

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Mass Weight and Gravity — Free MYP5 Physics Practice Questions

1QuestionCalculating Weight Using W = mgConcept Practice

2 marks~3 minCriterion B

Outline the steps you would take to investigate the relationship between mass and weight using a spring balance and a set of masses. The diagram shows a spring balance with a 1.0 kg mass attached, reading 9.8 N. Include in your outline the measurements you would record and how you would present your data.

Solutions

2QuestionGravitational Field Strength on Earth and Other PlanetsAssessment Practice

4 marks~6 minCriterion B

Two planets, P and Q, have the same mass but different radii. Planet P has a smaller radius than Planet Q. Gravitational field-line diagrams for both planets are provided.

G = 6.67 \times 10^{-11} \text{ N m}^2 \text{ kg}^{-2}

Planet P	mass $= 6.0 \times 10^{24}$ kg	radius $= 6.4 \times 10^{6}$ m
Planet Q	mass $= 6.0 \times 10^{24}$ kg	radius $= 1.3 \times 10^{7}$ m

Deduce which planet has the stronger surface gravitational field strength, using evidence from the field-line diagrams. [1]

Show that the surface gravitational field strength of Planet P is approximately

9.8 \text{ N kg}^{-1}

, using

g = \dfrac{GM}{r^2}

. [1]

Analyse how reducing a planet's radius while keeping its mass constant affects its surface gravitational field strength. Use

g = \dfrac{GM}{r^2}

and your results from (a) and (b) to support your answer. [2]

Solutions

3QuestionWeightlessness and Orbiting ObjectsConcept Practice

2 marks~3 minCriterion A

A weather satellite orbits Earth at an altitude where gravitational field strength is

5.7 \ \text{N kg}^{-1}

State the force that keeps the satellite in its circular orbit. [1]

The satellite has a mass of

800 \ \text{kg}

. Calculate the gravitational force acting on it at this altitude. [1]

Solutions

4QuestionCalculating Weight Using W = mgAssessment Practice

10 marks~15 minCriterion D

A mining company uses highly sensitive gravimeters to detect underground ore deposits by measuring minute differences in gravitational acceleration caused by variations in subsurface density. During a survey, a gravimeter records a local gravitational acceleration of

9.800 \, 047 \, \text{m s}^{-2}

, compared to the regional average of

9.800 \, 000 \, \text{m s}^{-2}

. The gravimeter can resolve differences as small as

1 \times 10^{-6} \, \text{m s}^{-2}

Calculate the difference in weight of a

500 \, \text{kg}

reference mass between the anomaly location and the regional average. [2]

Explain how a gravimeter survey could be used to identify a buried deposit of gold ore, given that gold has a significantly higher density than the surrounding granite bedrock. [3]

Evaluate whether the economic benefits of extracting a newly discovered mineral deposit justify the environmental costs, considering habitat destruction, water pollution, and greenhouse gas emissions from mining operations. [5]

Solutions

5QuestionGravitational Field Strength on Earth and Other PlanetsConcept Practice

4 marks~6 minCriterion C

A robotic probe is sent to the Moon, where the gravitational field strength is

g = 1.6 \text{ N/kg}

. A field-line diagram of the Moon's gravitational field is provided for reference. On Earth,

g = 10 \text{ N/kg}

State what the direction of gravitational field lines around a planetary body indicates. [1]

Describe how the spacing of gravitational field lines is related to the strength of the gravitational field, referring to both closely spaced and widely spaced lines. [2]

Justify why the Moon's gravitational field-line diagram shows a lower density of field lines than an equivalent diagram for Earth, using the values of

g

given above. [1]

Solutions

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