COMEDK2024PhysicsWork, Power and EnergyActual
An electric motor raises a mass of 1.5 ~kg , a distance of 1.128 ~m in time of 4.79 ~s . Calculate the power to an appropriate significant figures. (take g=9.81 ~ms ⁻² )
Options
- A3.46 W
- B3.5 W
- C3.465 W
- D3.47 W
Correct answer
B. 3.5 W
Step-by-step solution
The power P is defined as the rate of doing work, which is given by P = W t = mgh t . Given values are m = 1.5 kg , g = 9.81 ms ⁻² , h = 1.128 m , and t = 4.79 s . Substituting these values into the formula: P = 1.5 9.81 1.128 4.79 P = 16.59732 4.79 3.465 W. The given values have the following significant figures: 1.5 (2 sig figs), 1.128 (4 sig figs), 4.79 (3 sig figs). The result should be reported to the least number of significant figures present in the data, which is 2. Rounding 3.465 to two significant figures