A 12 kg barrel is pulled up by a rope. The barrel accelerates at 1.2 m/s2. Find the force exerted by the rope. Show all your work.
To find the force exerted by the rope, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.
Given:
- Mass of the barrel (m) = 12 kg
- Acceleration of the barrel (a) = 1.2 m/s²
We can use the formula:
Force (F) = mass (m) × acceleration (a)
Substituting the given values:
F = 12 kg × 1.2 m/s²
Calculating the result:
F = 14.4 N
Therefore, the force exerted by the rope is 14.4 Newtons.
The formula used to solve this problem is F = m × a, where F is the force exerted, m is the mass of the object, and a is the acceleration. By substituting the given values into the formula and calculating the result, we can find the force exerted by the rope.