Question

A brass sphere of mass 50kg and specific heat capacity 380j/kg/k is droped from a height of 500m what is the rise in temp. of the sphere of or the potential energy of the top is Transformed to heat energy​

Answer 1

Physics

Step-by-step explanation:

To find the rise in temperature of the brass sphere when it is dropped from a height of 500m and the potential energy is transformed into heat energy, we can use the principle of conservation of energy.

The potential energy of the sphere at the top is given by the formula:

Potential energy (PE) = mass (m) * gravity (g) * height (h)

PE = m * g * h

Where:

m = mass of the sphere = 50 kg

g = acceleration due to gravity = 9.8 m/s²

h = height = 500 m

Substituting the given values into the formula, we can calculate the potential energy:

PE = 50 kg * 9.8 m/s² * 500 m

PE = 245,000 J

According to the principle of conservation of energy, this potential energy is transformed into heat energy. We can calculate the rise in temperature using the specific heat capacity formula:

Heat energy (Q) = mass (m) * specific heat capacity (c) * temperature change (ΔT)

We want to find the temperature change (ΔT), so we rearrange the formula:

ΔT = Q / (m * c)

Substituting the known values:

ΔT = 245,000 J / (50 kg * 380 J/kg/K)

ΔT ≈ 12.89 K

Therefore, the rise in temperature of the brass sphere, when the potential energy is transformed into heat energy, is approximately 12.89 degrees Celsius.