Estimate the change in gravitational potential energy when a person with mass 95kg rise from bed to a standing position. Assuming that the center of mass of a person is elevated by approximately Δh=0.50m.
since PE = mgh,
ΔPE = mgΔh
The change in gravitational potential energy (ΔPE) can be calculated using the formula:
ΔPE = m * g * Δh
where:
m = mass of the person (95 kg)
g = acceleration due to gravity (approximately 9.8 m/s^2)
Δh = change in height (0.50 m)
Plugging in the values, we can calculate the change in gravitational potential energy:
ΔPE = 95 kg * 9.8 m/s^2 * 0.50 m
≈ 460.5 J
Therefore, the estimated change in gravitational potential energy when the person rises from bed to a standing position is approximately 460.5 Joules.
To estimate the change in gravitational potential energy when a person rises from bed to a standing position, we need to use the formula:
ΔPE = m * g * Δh
Where:
ΔPE is the change in gravitational potential energy
m is the mass of the person (in kg)
g is the acceleration due to gravity (approximately 9.8 m/s^2 on Earth)
Δh is the change in height (in this case, the elevation of the person's center of mass)
Given the following values:
m = 95 kg
g = 9.8 m/s^2
Δh = 0.50 m
We can substitute these values into the formula:
ΔPE = 95 kg * 9.8 m/s^2 * 0.50 m
Now let's calculate the result:
ΔPE = 460.5 kg m^2/s^2
Therefore, the estimated change in gravitational potential energy when the person rises from bed to a standing position is 460.5 Joules (J).