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Question: An object of mass \(2kg\) is dropped from a tower which hits the ground in \(10s\). Calculate the wo...

An object of mass 2kg2kg is dropped from a tower which hits the ground in 10s10s. Calculate the work done

Explanation

Solution

here in the question they have given the mass mmthat is 2kg2kgand they have also mentioned the time tt that is 10s10sby using these two data we have to find the work done
As we know the work done can be defined as the transferring of energy from an object via the application of force along a displacement.

Complete step by step solution:
As we know the formulae for calculating the work done that is

W=Fs........(1)W = Fs........(1)

Here FFrepresent the force and ssrepresent the displacement

But in the question we have mass and time so first we have to find the value of force and displacement

So to find the value of force we have formulae

F=maF = ma

Here mmis the mass and aarepresent the acceleration due to gravity
Hence we know the value of mmthat is 2kg2kgand the acceleration due to gravity is 9.8m/s29.8m/{s^2}that is constant

F=2kg×9.8m/s2F = 2kg \times 9.8m/{s^2}

After simplifying we get

F=19.6NF = 19.6N

Now we have to calculate the value of displacement ss

So we know the formulae to calculate the displacement that is

s=12at2s = \dfrac{1}{2}a{t^2}

Here aarepresent the acceleration due to gravity that is 9.8m/s29.8m/{s^2} and tt is the time that is 10s10s

Now substitute the values in the above equation

s=12×9.8m/s2×10ss = \dfrac{1}{2} \times 9.8m/{s^2} \times 10s

After simplifying the equation we get

s=49m/ss = 49m/s

Now substitute the value of displacement ssand the force FFin equation (1)(1)

W=19.6×49W = 19.6 \times 49

After calculating we get the value of work done

W=960.4NmW = 960.4N - m

Note: a force can be defined as the motion of an object. A force can cause an object with mass to change its velocity, force has both magnitude and direction
Displacement is a vector quantity whose length is the shortest distance from the initial to the final position .