A Force 5N gives a mass M an acceleration
of 8m/s-2 and m an acceleration of 24m/s-2. What is the acceleration if both the
masses are tied together?
To find the acceleration when both masses are tied together, we need to consider the combined effect of the force on the two masses.
First, let's use Newton's second law of motion:
F = m * a
Where F is the force, m is the mass, and a is the acceleration.
Given:
Force on mass M = 5 N
Acceleration of mass M = 8 m/s^2
We can rearrange the equation to solve for the mass:
m = F / a
For mass M:
m_M = 5 N / 8 m/s^2 = 0.625 kg
Given:
Force on mass m = 5 N
Acceleration of mass m = 24 m/s^2
Using the same equation, we can find the mass of m:
m_m = 5 N / 24 m/s^2 = 0.2083 kg
Now, since both masses are tied together, we can consider them as a single combined mass, which is the sum of the individual masses:
Total mass (M + m) = m_M + m_m = 0.625 kg + 0.2083 kg = 0.8333 kg
The force acting on this combined mass will still be 5 N.
Now, we can use the equation F = m * a to find the acceleration:
a = F / (M + m) = 5 N / 0.8333 kg = 6 m/s^2
Therefore, the acceleration when both masses are tied together is 6 m/s^2.
M=F/a1=5/8= 0.625 kg,
m=F/a2=5/24=0.208 kg
a=F/(M+m) =5/(0.625+0.208)=0.008 m/s²
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