A horizontal force of 100 N is applied to move a 45 -kg cart across a \( 9.0-\mathrm{m} \) level surface. What work is done by the \( 100-\mathrm{N} \) force? 1) 405 J 2) 500 J 3) 900 J 4) 4500 J 5) 5600 J

To find the work done by the force, we can use the formula for work: \[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) \] Since the force is applied horizontally and the movement is also horizontal, the angle \( \theta \) is 0 degrees. Therefore, \( \cos(0) = 1 \). Given: - Force = 100 N - Distance = 9.0 m Now we can calculate the work: \[ \text{Work} = 100 \, \text{N} \times 9.0 \, \text{m} \times 1 = 900 \, \text{J} \] So the answer is **3) 900 J**. --- Every time you push or pull something, you're doing work! Remember, work isn't just about physical labor; it’s a fundamental concept in physics. On a grander scale, understanding work allows engineers to design everything from bridges to rollercoasters, making sure they can safely support the forces they encounter without collapsing! If you're looking for a great hands-on way to understand work and energy, consider building a simple machine. Try creating a pulley system or a lever with everyday objects. Not only is it fun, but you’ll also see the principles of physics in action – transforming your living room into a mini lab!