A baby carriage is sitting at the top of a hill that is 22.1 m high. The carriage with the baby weighs 15.8 N. What is the Ep for the carriage and baby in relation to the bottom of the hill?

I know the equation for potential energy=m*g*h but what how would you do this if you have newtons rather than kilograms?

mg is newtons.

To calculate the potential energy (Ep) of the carriage and baby at the top of the hill, you can use the equation Ep = m * g * h, where m is the mass of the carriage and baby, g is the acceleration due to gravity, and h is the height of the hill.

However, in the given problem, you are provided with the weight of the carriage and baby in Newtons (N) instead of their mass in kilograms (kg). Weight is the force exerted by an object due to gravity, which is given by the equation W = m * g, where W is weight, m is mass, and g is the acceleration due to gravity.

To convert Newtons (N) to kilograms (kg), you need to divide the weight (in Newtons) by the acceleration due to gravity (approximately 9.8 m/s²). This gives you the mass in kilograms.

Let's calculate the mass first:

Weight (W) = 15.8 N
Acceleration due to gravity (g) = 9.8 m/s²

Now, we can use the formula W = m * g to calculate the mass:

15.8 N = m * 9.8 m/s²

Divide both sides of the equation by 9.8 m/s²:

m = 15.8 N / 9.8 m/s²

m ≈ 1.612 kg

Now that we have the mass, we can calculate the potential energy with the equation Ep = m * g * h:

Ep = 1.612 kg * 9.8 m/s² * 22.1 m

Ep ≈ 353 J

Therefore, the potential energy of the carriage and baby in relation to the bottom of the hill is approximately 353 Joules.