Question

A box attached to a spring is being pulled across a flat frictionless surface. The spring constant is 45 N/m, the box is accelerating at

1.3 m/s2, and the spring is stretched by 0.88 m. What is the mass of the box?
26 kg
O 38 kg
30 kg
O 33 kg
Plzzzzz help

Answer 1

Mass = 30.46 kg

Step-by-step explanation:

Given the following data;

Spring constant = 45 N/m

Acceleration = 1.3 m/s²

Extension = 0.88 m

To find the mass of the box;

First of all, we would determine the force acting on the spring.

Force = spring constant * extension

Force = 45 * 0.88

Force = 39.6 N

Next, we find the mass using Newton's second equation of motion.

Force = mass * acceleration

39.6 = mass * 1.3

Mass = 39.6/1.3

Mass = 30.46 kg