Weight Physics Example 3

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Example 3

hard
A person weighs 686 N686 \text{ N} on Earth (g=9.8 m/s2g = 9.8 \text{ m/s}^2). What would they weigh on Jupiter where gJ=24.8 m/s2g_J = 24.8 \text{ m/s}^2?

Solution

  1. 1
    Find the person's mass: m=Wearthg=6869.8=70 kgm = \frac{W_{\text{earth}}}{g} = \frac{686}{9.8} = 70 \text{ kg}
  2. 2
    Calculate weight on Jupiter: WJ=mgJ=70×24.8=1736 NW_J = mg_J = 70 \times 24.8 = 1736 \text{ N}
  3. 3
    The person would weigh about 2.532.53 times more on Jupiter than on Earth.

Answer

WJ=1736 NW_J = 1736 \text{ N}
Weight changes with gravitational field strength while mass stays constant. Jupiter's stronger gravity means objects weigh significantly more there.

About Weight

The gravitational force acting on an object due to its mass, directed toward the center of a massive body.

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