Question

9 multiple answer 1 point select all of the following statements which are true about gravitational acceleration. gravitational force is a synonym for gravitational field strength gravitational field strength is a synonym for gravitational acceleration gravitational acceleration can be measured in units of m/s² units of n/kg are equivalent to units of m/s²

Explanation:

• Gravitational force is not the same as gravitational field strength. Gravitational force is \(F = mg\) (where \(m\) is mass and \(g\) is gravitational field strength).
• Gravitational field strength \(g\) is equal to gravitational acceleration. From \(F=ma\) (Newton's second law) and \(F = mg\) (gravitational force formula), when \(F\) is gravitational force, \(a = g\).
• Acceleration has units of \(m/s^{2}\), and since gravitational acceleration is a type of acceleration, it can be measured in \(m/s^{2}\).
• Using \(F = ma\) (\(F\) in Newtons (\(N\)), \(m\) in kilograms (\(kg\)), \(a\) in \(m/s^{2}\)), if \(a=\frac{F}{m}\), then units of \(\frac{N}{kg}=\frac{kg\cdot m/s^{2}}{kg}=m/s^{2}\).

Answer:

B. Gravitational field strength is a synonym for gravitational acceleration, C. gravitational acceleration can be measured in units of \(m/s^{2}\), D. Units of \(N/kg\) are equivalent to units of \(m/s^{2}\)