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Answer :
To calculate the kinetic energy of the body after ten seconds, we first determined the acceleration caused by the force, then the final velocity, and finally applied the kinetic energy formula to get a result of 0.15 Joules.
To calculate the kinetic energy of the body after ten seconds, we need to first determine the acceleration that the force produced and then the final velocity of the body using the equations of motion. Since force equals mass times acceleration (F = ma), we can solve for acceleration (a).
Given:
- Force (F) = 3000 dynes (which is 3000 * 10^-5 newtons, because 1 dyne = 10^-5 N)
- Mass (m) = 300 grams (which is 0.3 kg, because 1 gram = 0.001 kg)
- Time (t) = 10 seconds
Firstly, let's convert the force to Newtons:
F = 3000 dynes
= 3000 * 10^-5 N
= 0.03 N
Now, calculate the acceleration (a) using F = ma:
a = F / m
= 0.03 N / 0.3 kg
= 0.1 m/s^2
Using the equation of motion v = u + at (where u = initial velocity, assumed to be 0 since it is not given), we find the final velocity (v) of the body:
v = u + at
= 0 + (0.1 m/s^2 * 10 s)
= 1 m/s
Finally, we can find the kinetic energy (KE) using the formula KE = 1/2 mv^2:
KE = 1/2 * 0.3 kg * (1 m/s)^2
= 0.15 kg * 1 m^2/s^2
= 0.15 J
The kinetic energy of the body after ten seconds is therefore 0.15 Joules.
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