1. Answer: Height = 4.8 m
Gravitational potential energy, [tex]P.E. = mgh[/tex]
where, m is mass of the body, g is the acceleration due to gravity and h is the height.
It is given that, location is on Earth.
[tex] P.E. =4.37\times 10^5 J\\ m=9.12 \times 10^3 kg\\ g=9.8 m/s^2[/tex]
[tex]\Rightarrow h=\frac{P.E.}{mg}=\frac{4.37\times 10^5 J}{9.12 \times 10^3 kg \times 9.8 m/s^2}=4.8 m[/tex]
2. Answer: [tex]5.46m/s^2[/tex]
Weight is a force which an object exerts due to its mass under gravity.
weight = mass × acceleration due to gravity
⇒ acceleration due to gravity = weight/ mass
It is given that the weight, [tex] w= 3.28\times 10^{-2} N[/tex]
mass of the object, [tex] m=6\times 10^{-3} kg [/tex]
[tex]\Rightarrow a=\frac{w}{m}=\frac{3.28\times 10^{-2} N}{6\times 10^{-3} kg}=5.46 m/s^2[/tex]
