A 5 kg object experiences a horizontal force, which causes it to accelerate at 2 m/s², moving it a distance of 10 m horizontally. How much work is done by the force on the object?
Understand the Problem
The question is asking for the calculation of work done on an object that is accelerating horizontally. We need to use the formula for work, which is the product of force and distance, and apply it to the given parameters.
Answer
The work done by the force on the object is $100 \, \text{J}$.
Answer for screen readers
The work done by the force on the object is $100 , \text{J}$.
Steps to Solve
- Identify the given values
The mass of the object $m = 5 , \text{kg}$, the acceleration $a = 2 , \text{m/s}^2$, and the distance moved $d = 10 , \text{m}$.
- Calculate the force applied
Using Newton's second law, the force $F$ can be calculated with the formula: $$ F = m \cdot a $$ Substituting the values: $$ F = 5 , \text{kg} \cdot 2 , \text{m/s}^2 = 10 , \text{N} $$
- Calculate the work done
The work done $W$ can be calculated using the formula: $$ W = F \cdot d $$ Substituting the values: $$ W = 10 , \text{N} \cdot 10 , \text{m} = 100 , \text{J} $$
The work done by the force on the object is $100 , \text{J}$.
More Information
Work is defined as the transfer of energy through motion. In this case, the force applied to the object causes it to move a certain distance, resulting in work done.
Tips
- Forgetting to calculate the force using mass and acceleration.
- Confusing units of work and force (e.g., mixing up Joules and Newtons).
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