Answer
Verified
377.4k+ views
Hint:Work is done only when some force is applied on the object or body.Using the work done formula only we are going to calculate the given data. For calculating total work done first of all we have to split the work into two equal forms. From this only we are calculating the total work.
Complete step by step answer:
Work is said to be done when an object experiences some force.
Work done formula $W = F \times d$
Whereas, $F$ is work done by kinetic force and $d$ is displacement of magnitude.
Given that,
Weight of the ladder, W=$150\,N$
Height of the ladder, h=$2.5\,m$
Additional weight added at the top of the ladder = $40\,N$
Center of gravity =$1\,m$
Work done by the ladder, when raised to the height,
${W_1}$=weight $ \times $center of gravity
${W_1}= 150 \times 1 \\
\Rightarrow {W_1}= 150 \\ $
When the work done by the ladder, raised to $2.5\,m$ long
${W_2} = 2.5 \times 40 \\
\Rightarrow {W_2}= 100\,J \\$
Total work done by the ladder,
$W = {W_1} + {W_2} \\
\Rightarrow W= 150 + 100 \\
\therefore W= 250\,J \\$
The total work required by the ladder to raise from horizontal to vertical position raised by $50\% $ of linear momentum is $250j$
Additional information:
Kinetic energy is directly proportional to mass of the object and to its square. Kinetic energy can be measured in kilograms meters per second. Theoretically center of gravity is where the total body weight is thought to be concentrated.
Note:Center of gravity is identical to center of mass.Linear momentum is directly proportional to the mass and its velocity. It ties momentum and velocity in one quantity. Work to be done when an object experiences displacement. The S.I unit of work is measured in joules (J).
Complete step by step answer:
Work is said to be done when an object experiences some force.
Work done formula $W = F \times d$
Whereas, $F$ is work done by kinetic force and $d$ is displacement of magnitude.
Given that,
Weight of the ladder, W=$150\,N$
Height of the ladder, h=$2.5\,m$
Additional weight added at the top of the ladder = $40\,N$
Center of gravity =$1\,m$
Work done by the ladder, when raised to the height,
${W_1}$=weight $ \times $center of gravity
${W_1}= 150 \times 1 \\
\Rightarrow {W_1}= 150 \\ $
When the work done by the ladder, raised to $2.5\,m$ long
${W_2} = 2.5 \times 40 \\
\Rightarrow {W_2}= 100\,J \\$
Total work done by the ladder,
$W = {W_1} + {W_2} \\
\Rightarrow W= 150 + 100 \\
\therefore W= 250\,J \\$
The total work required by the ladder to raise from horizontal to vertical position raised by $50\% $ of linear momentum is $250j$
Additional information:
Kinetic energy is directly proportional to mass of the object and to its square. Kinetic energy can be measured in kilograms meters per second. Theoretically center of gravity is where the total body weight is thought to be concentrated.
Note:Center of gravity is identical to center of mass.Linear momentum is directly proportional to the mass and its velocity. It ties momentum and velocity in one quantity. Work to be done when an object experiences displacement. The S.I unit of work is measured in joules (J).
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE
Which are the Top 10 Largest Countries of the World?
How do you graph the function fx 4x class 9 maths CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Why is there a time difference of about 5 hours between class 10 social science CBSE