Question

- A force changes the speed of an object of mass 2kg from rest to 10m/s. The work done in this process is
1. 10 j
2. 20 j
3. 100 j
4. 200 j​

Answer 1

Answer:

2nd option is the correct answer

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Answer 2

Given: The mass of the object $=2kg$

The speed of the object of the given mass from rest is $=10m/s$

To find: The work done in the process.

Solution:

Mass of the object given = $2kg$

The speed of the object of the given mass from rest is $=10m/s$

As the mass and velocity are given and it is said that the force changes the speed from rest, this means that the object has acquired kinetic energy.

In this case, the work done will be the total kinetic energy of the object.

The kinetic energy for a body is given by,

K.E $=\frac{1}{2}mv^2$

⇒ K.E $=\frac{1}{2}*2*10*10$

⇒ K.E $=100J$

∴The work done in this process = Kinetic Energy of the body $=100J$

Final answer:

The correct option is option(3)$100J$