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When a 40-n force, parallel to the incline and directed up the incline, is applied to a crate on a frictionless incline that is 30 above the horizontal, the acceleration of the crate is 2.0 m/s2 , up the incline. the mass of the crate is:?

User Kevskree
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Final answer:

To find the mass of the crate on a frictionless incline with a known force and acceleration, use Newton's second law. The mass is calculated as 40 N divided by 2.0 m/s^2, resulting in 20 kg.

Step-by-step explanation:

To determine the mass of the crate on an incline, you can use Newton's second law of motion, which is F = ma, where F is the force, m is the mass, and a is the acceleration. In this case, we know the force applied up the incline (40 N), the acceleration of the crate (2.0 m/s2), and we need to determine the mass m. The equation can be rearranged to solve for mass by dividing both sides by acceleration, resulting in m = F/a. Thus, dividing the force by the acceleration, you get m = 40 N / 2.0 m/s2 = 20 kg. So, the mass of the crate is 20 kilograms.

User Maramal
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F= ma force is directed on the working surface so 40 = m x 2 hence m must be 20 units needed are probably kg
User Asbestossupply
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