Question

A sled is on an icy(frictionless) slope that is 30 degrees above the horizontal. When a 40 N force parallel to the incline and directed up the incline, is applied to the sled, the acceleration of the sled is 2.0 m/s², down the incline. The mass of the sled is:

a. 3.8 kg
b. 4.1 kg
c. 5.8 kg
d. 6.2 kg
e. 10 kg

Answer 1

The mass of the sled is 20 kg.

Step-by-step explanation:

To find the mass of the sled, we can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass.

Given that the sled has an acceleration of 2.0 m/s² and a force of 40 N applied to it, we can use the equation:

Force = Mass x Acceleration

40 N = Mass x 2.0 m/s²

Mass = 40 N / 2.0 m/s² = 20 kg

Therefore, the mass of the sled is 20 kg.