Physics

Question

At a certain location, a gravitational force with
a magnitude of 350 newtons acts on a 70.-kilogram
astronaut. What is the magnitude of the gravitational
field strength at this location?
(1) 0.20 kg/N (3) 9.8 m/s2
(2) 5.0 N/kg (4) 25 000 N•kg

2 Answer

  • The unit of gravitational field strength is Nkg^-1 ie N/kg because the formula for Gravitational field strength is g=F/m where F is the gravitational force and m is the mass, and so by process of elimination, the magnitude of the gravitational field strength at this location is:
    5.0 N/kg



  • The correct answer is: Option (2) 5.0 N/kg

    Explanation:

    To find the magnitude of the gravitational field strength, you need the formula of weight, which is:

    weight = mass * gravitational-field-strength

    Where weight is in Newtons, mass is in kilograms and gravitational-field-strength is (Newtons per kilogram).

    In this particular scenario, the gravitational force is equal to the weight; please do not confuse weight with a mass. Mass is 70 kg.

    Plug in the values:

    350 = 70 * gravitational-field-strength

    gravitational-field-strength = 350/70

    gravitational-field-strength = 5.0 N/kg (Option 2)

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