Select the correct answer.
A forklift raises a crate weighing $8.35 \times 10^2$ newtons to a height of 6.0 meters. What amount of work does the forklift do?
A. $2.5 \times 10^3$ joules
B. $5.0 \times 10^3$ joules
C. $2.4 \times 10^4$ joules
D. $4.9 \times 10^4$ joules
Answer (2)
The problem requires calculating the work done by a forklift.
Recall the formula: Work = Force × Distance.
Substitute the given values: Work = ( 8.35 × 1 0 2 ) × 6.0 = 5010 joules.
Express the result in scientific notation: 5.010 × 1 0 3 joules, which is approximately 5.0 × 1 0 3 joules. The final answer is 5.0 × 1 0 3
Explanation
Understanding the Problem We are given that a forklift raises a crate weighing $8.35
\times 10^2$ newtons to a height of 6.0 meters. We need to find the amount of work done by the forklift.
Recalling the Formula for Work The formula for work done is given by:
Work = Force × Distance
In this case, the force is the weight of the crate, and the distance is the height to which the crate is raised.
Identifying the Given Values We have:
Weight of crate (Force) = $8.35
\times 10^2$ newtons
Height (Distance) = 6.0 meters
Calculating the Work Done Now, we can calculate the work done:
Work = $(8.35
\times 10^2)
\times 6.0$ joules
Work = $835
\times 6.0$ joules
Work = 5010 joules
Comparing with the Options We can express this in scientific notation as:
Work = $5.010
\times 10^3$ joules
Comparing this with the given options, the closest answer is B. $5.0
\times 10^3$ joules.
Final Answer Therefore, the amount of work done by the forklift is approximately $5.0
\times 10^3$ joules.
Examples
Imagine you're lifting a heavy box onto a shelf. The work you do depends on how heavy the box is and how high you lift it. Similarly, a forklift does work when it lifts a crate. Understanding work helps engineers design machines like forklifts and cranes, ensuring they can lift heavy objects efficiently. This concept is also crucial in physics for calculating energy and understanding how forces cause motion.
The work done by the forklift in raising the crate is calculated using the formula Work = Force × Distance. The result is 5010 joules, which is expressed as 5.0 × 10³ joules. Therefore, the correct answer is B.
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