A baby carriage is sitting at the top of a hill that is 21 m high. The carriage with the baby has a mass of 12 kg. Calculate it.
Answer (2)
Calculate the potential energy of the baby carriage, we'll use the formula:Potential Energy (PE) = m × g × hwhere:m = mass of the carriage and baby (12 kg)g = acceleration due to gravity (approximately 9.8 m/s²)h = height of the hill (21 m)PE = 12 kg × 9.8 m/s² × 21 mPE = 2479.2 J (or 2.48 kJ)The potential energy of the baby carriage at the top of the hill is approximately 2.48 kilojoules.Note: This calculation assumes the carriage is at rest and only considers gravitational potential energy.[tex].[/tex]
Answer:Given,Height (h) = 21 mWeight (W) = 12 NWhere,To Find,The Gravitational Potential Energy.Solution,We know that,The total mechanical energy of an object is given by, Emech=K+UE mech =K+UWhere K is the Kinetic Energy and U is the Potential Energy.Because the carriage is sitting motionless at the top of the hill it will only have the potential energy in the form of gravitational potential energy.Gravitational potential energy is given by: Ug=m∗g∗hU g =m∗g∗h ⇒ Equation (1)The weight of a stationary object on the surface of the earth is equal to the gravitational force acting on the object. W=Fg=m∗gW=F g =m∗gSubstituting the given values in equation (1) Ug=12∗21U g =12∗21 Ug=252NmU g =252Nm Ug=252JU g =252JTherefore,The Gravitational Potential Energy is 252 J.
