In deep space, two bodies X and Y of masses 4 kg and 8 kg, respectively are placed. X pulls Y with a force of 2 N. Find the acceleration of X and Y towards each other.
Question
In deep space, two bodies X and Y of masses 4 kg and 8 kg, respectively are placed. X pulls Y with a force of 2 N. Find the acceleration of X and Y towards each other.
Solution
To find the acceleration of bodies X and Y towards each other, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.
Given that the mass of body X is 4 kg and it exerts a force of 2 N on body Y, we can calculate the acceleration of body Y using the formula:
Force = mass * acceleration
Rearranging the formula, we have:
Acceleration = Force / mass
Substituting the values, we get:
Acceleration of Y = 2 N / 8 kg = 0.25 m/s^2
Similarly, to find the acceleration of body X, we can use the same formula:
Acceleration of X = Force / mass
Substituting the values, we get:
Acceleration of X = 2 N / 4 kg = 0.5 m/s^2
Therefore, the acceleration of body X towards body Y is 0.5 m/s^2, and the acceleration of body Y towards body X is 0.25 m/s^2.
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