A student with a mass of 58kg runs up three flights of stairs. The student has gone a vertical distance of 6m. Determine the amount of work done (In Joules) by the student to elevate his body to this height. Assume that his speed is constant and g = 9.81m/s2. Only put in the numerical value. Do not write the unit in your answer.

This is a short-answer question. Show all working on paper, including the relevant equations and units.

Question

A student with a mass of 58kg runs up three flights of stairs. The student has gone a vertical distance of 6m. Determine the amount of work done (In Joules) by the student to elevate his body to this height. Assume that his speed is constant and g = 9.81m/s2. Only put in the numerical value. Do not write the unit in your answer.

This is a short-answer question. Show all working on paper, including the relevant equations and units.

BlackTom AI · Accepted Answer

First, restate the problem in my own words to ensure understanding: a 58 kg student raises their body by a vertical distance of 6 m with constant speed up three flights of stairs, and we are asked to find the work done to elevate the body against gravity. Since speed is constant, the work done goes into increasing gravitational potential energy, which equals m g h.

Step 1: Identify the given quantities. Mass m = 58 kg, gravitational acceleration g = 9.81 m/s^2, vertical height h = 6 m.

Step 2: Write the formula for work against gravity. The work done by gravity (or by an external agent lifting the student) to raise the mass by height h is W = m g h.

Step 3: Perform the calculation. Compute g h first: 9.81 × 6 = 58.86. Then multiply by the mass: 58 × 58.86 = 58 × (60 − 1.14) which is 58 × 60 − 58 × 1.14 = 3480 − 66.12 ≈ 3413.88.

Step 4: Interpret the result. The numeric value obtained from W = m g h is 3413.88, representing the work done in the same energy units as g, m, and h imply, i.e., joules when using SI units. If you were comparing to a provided numerical answer, ensure the same g value and proper multiplication are used to avoid small discrepancies.

Step 5: Address the instruction about units. The derived quantity is a work value measured in joules; when presenting, you would typically write 3413.88, with the unit joules implied by the context. If a specific rounding rule is given (e.g., to two decimals), you would apply it accordingly.

FFP001 Skills and Content Test 2 | LA044- Requires Respondus LockDown Browser

查看解析

登录即可查看完整答案

类似问题

How to find the total work if more than one force acts on the system?

How to calculate the work if the force is not constant?

When is the work negative?

Which of the following is an example where the work done by a force is zero?

In what situations we can find that the work done by a force is zero?

What is work? What is the unit of work?

A hiker pulls a 12.0 kg sled up a snowy incline 5.00 m long and 30.0° above horizontal. If the sled moves at constant speed, how much work does the hiker do against gravity alone?

更多留学生实用工具

考试浏览器助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单