Recall the formula for weight.

Physics

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3a) Find the mass of a body whose weight is 45.4 N45.4\,\text{N} and g=10 m/s2g = 10\,\text{m/s}^2.

  1. Recall the formula for weight.

    Weight (WW) is the product of mass (mm) and acceleration due to gravity (gg).

    W=mgW = mg
  2. Rearrange the formula to solve for mass.

    To find mass, divide weight by acceleration due to gravity.

    m=Wgm = \frac{W}{g}
  3. Substitute the given values and calculate the mass.

    Given W=45.4 NW = 45.4\,\text{N} and g=10 m/s2g = 10\,\text{m/s}^2.

    m=45.4 N10 m/s2m = \frac{45.4\,\text{N}}{10\,\text{m/s}^2} m=4.54 kgm = \boxed{\text{4.54}\,\text{kg}}

    3b) Find the weight of a box of mass 50 kg50\,\text{kg} and g=10 m/s2g = 10\,\text{m/s}^2.

  4. Recall the formula for weight.

    Weight (WW) is the product of mass (mm) and acceleration due to gravity (gg).

    W=mgW = mg
  5. Substitute the given values and calculate the weight.

    Given m=50 kgm = 50\,\text{kg} and g=10 m/s2g = 10\,\text{m/s}^2.

    W=50 kg×10 m/s2W = 50\,\text{kg} \times 10\,\text{m/s}^2 W=500 NW = \boxed{\text{500}\,\text{N}}
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