Photo AI

A spacecraft unloads cargo on the surface of the Moon - Scottish Highers Physics - Question 3 - 2022

Question icon

Question 3

A-spacecraft-unloads-cargo-on-the-surface-of-the-Moon-Scottish Highers Physics-Question 3-2022.png

A spacecraft unloads cargo on the surface of the Moon. The gravitational field strength on the Moon is 1.6 N kg⁻¹. A package of mass 3.0 kg moves down the ramp. The... show full transcript

Worked Solution & Example Answer:A spacecraft unloads cargo on the surface of the Moon - Scottish Highers Physics - Question 3 - 2022

Step 1

Calculate the weight of the package

96%

114 rated

Answer

The weight of an object can be calculated using the formula: W=mimesgW = m imes g where:

  • WW is the weight,
  • mm is the mass of the object, and
  • gg is the gravitational field strength.

Substituting the given values: W=3.0extkgimes1.6extNkg−1=4.8extNW = 3.0 ext{ kg} imes 1.6 ext{ N kg}^{-1} = 4.8 ext{ N}

Step 2

Determine the component of weight acting parallel to the ramp

99%

104 rated

Answer

To find the component of the weight acting parallel to the ramp, we use the angle of the ramp: Wparallel=Wimesextsin(heta)W_{parallel} = W imes ext{sin}( heta) Here, WW is 4.8 N and θ\theta is 34°.

Calculating this: Wparallel=4.8extNimesextsin(34°)W_{parallel} = 4.8 ext{ N} imes ext{sin}(34°) Using a calculator, extsin(34°)≈0.559 ext{sin}(34°) \approx 0.559 Thus, Wparallel≈4.8extN×0.559≈2.68extNW_{parallel} \approx 4.8 ext{ N} \times 0.559 \approx 2.68 ext{ N} Rounding this value gives approximately 2.7 N.

Join the Scottish Highers students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;