Question

Calculate the amount of work in newton-meters (N-m) to raise the 0.5 kg mass 0.5 meter. Then convert newton-meters to joules.

Answer 1

The work done to raise a 0.5 kg mass 0.5 meter is 2.45 N-m, which is also equal to 2.45 joules since 1 N-m is equivalent to 1 J.

Step-by-step explanation:

To calculate the work done in newton-meters (N-m) when raising an object, you use the formula:

Work = Force × Distance

Since the force due to gravity is the mass of the object multiplied by the acceleration due to gravity (9.8 m/s2), we find the force as follows:

Force = Mass × Gravity

Force = 0.5 kg × 9.8 m/s2 = 4.9 N

Now we multiply the force by the distance the object is raised:

Work = Force × Distance

Work = 4.9 N × 0.5 m = 2.45 N-m

In the SI system, newton-meters are equivalent to joules (J), so:

2.45 N-m = 2.45 J of work done to raise the mass.