A baby carriage is sitting at the top of a hill that is 21 m high. The carriage with the baby weighs 12 N. The carriage has ______ energy. Calculate it.
The carriage at the top of the hill has gravitational potential energy.
Gravitational potential energy (GPE) can be calculated using the formula:
GPE = m * g * h
Where:
m = mass of the object (baby and carriage) = 12 N
g = acceleration due to gravity = 9.8 m/s^2 (approximate value on Earth)
h = height = 21 m
Plugging in the values:
GPE = 12 N * 9.8 m/s^2 * 21 m
GPE = 2479.2 N*m
Therefore, the carriage with the baby has 2479.2 joules of gravitational potential energy.
The carriage has potential energy due to its position on the hill. The formula for potential energy is:
Potential energy = Mass × Gravity × Height
In this case, the mass of the carriage is not given, but the weight of the carriage (12 N) is provided. The weight of an object is equal to the mass of the object multiplied by the acceleration due to gravity (9.8 m/s^2).
So we can calculate the mass of the carriage using the formula:
Weight = Mass × Gravity
Rearranging the formula, we get:
Mass = Weight / Gravity
Mass = 12 N / 9.8 m/s^2 ≈ 1.22 kg
Now that we know the mass of the carriage, we can calculate the potential energy:
Potential energy = Mass × Gravity × Height
Potential energy = 1.22 kg × 9.8 m/s^2 × 21 m
Potential energy ≈ 252.36 Joules
Therefore, the carriage has approximately 252 J of potential energy.