Question

density = 2.70 g/cm squared
volume= 196cm cubed
The force of gravity acting on an object is F = mg, where m is the mass of an object and g is the acceleration of gravity (9.8 m/s2). How much work do you do on the aluminum sphere if you raise it from the floor to a height of 2 m?
Express the answer in joules to two significant figures.

Answer 1

Answer on Question #80332, Chemistry/ General Chemistry

density = 2.70 g/cm squared

volume= 196cm cubed

The force of gravity acting on an object is $F = mg$, where $m$ is the mass of an object and $g$ is the acceleration of gravity (9.8 m/s²). How much work do you do on the aluminum sphere if you raise it from the floor to a height of 2 m?

Express the answer in joules to two significant figures.

Solution

$$W = F_g \times h$$ $$F_g = mg$$ $$m = d \times V$$

So, $W = mgh = d \times V \times g \times h$

$$W = 2.70 \frac{g}{cm^3} \times 196 \, cm^3 \times \frac{1 \, kg}{1000 \, g} \times 9.8 \, \frac{m}{s^2} \times 2 \, m$$ $$= 10.37232 \, J \text{ or (rounded to two significant figures)} \, 10 \, J$$

Answer: 10 J