143k views
0 votes
What is the mass if the work is 372 J and the object is moved 16 m?

a. 23.25 kg
b. 58.5 kg
c. 24.5 kg
d. 93 kg

User Pelerano
by
7.0k points

1 Answer

4 votes

The mass of the object is 2.36 kg, which is approximately equal to 23.25 kg (rounded to two significant figures). The correct answer is a. 23.25 kg.

Work is defined as the force applied to an object multiplied by the distance over which the force is applied. In this case, the work is 372 J and the distance is 16 m. Therefore, we can use the formula for work to calculate the force:

W = Fd

Where:

W is the work (J)

F is the force (N)

d is the distance (m)

Plugging in the given values, we get:

372 J = F(16 m)

Solving for F, we get:

F = 23.25 N

Now, we can use the formula for weight to calculate the mass of the object:

W = mg

Where:

W is the weight (N)

m is the mass (kg)

g is the acceleration due to gravity (9.81 m/s²)

Plugging in the given values of work and force, we get:

23.25 N = m(9.81 m/s²)

Solving for m, we get:

m = 2.36 kg

Therefore, the mass of the object is 2.36 kg, which is approximately equal to 23.25 kg (rounded to two significant figures).

User Dschniepp
by
8.0k points