what acceleraton would m2 in mass24 m/s2acceleratoin of an and m1 a force of 5n produces an acceleeration of 8m/s2 in mass
To find the acceleration of mass m2, we need to 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.
In this case, the force acting on m1 is given as 5 N, and it produces an acceleration of 8 m/s^2 in mass m1.
So, we have:
Force (F) = 5 N
Acceleration (a1) = 8 m/s^2
Mass of m1 (m1) = ?
Using the formula:
F = m1 * a1
We can rearrange the formula to solve for mass m1:
m1 = F / a1
Substituting the given values:
m1 = 5 N / 8 m/s^2
m1 = 0.625 kg
Now that we know the mass of m1, we can find the acceleration of m2 using the same formula.
Mass of m2 (m2) = 24 kg
Force (F) = 5 N
Acceleration of m2 (a2) = ?
Using the formula:
F = m2 * a2
Rearranging the formula:
a2 = F / m2
Substituting the given values:
a2 = 5 N / 24 kg
a2 = 0.208 m/s^2
Therefore, the acceleration of m2 is 0.208 m/s^2.