a certain force gives m1 an acceleration of 12m/s^2 the same force gives object m2 an acceleration 3.3m/s^2. wahty acceleration gives to an object having mass(A) the difference m1 and m2 (B)the sum of m1 and m2

To find the acceleration of an object with mass (A):

Let's assume the force applied on the objects (m1 and m2) is the same.

According to Newton's second law of motion, the force acting on an object is equal to the product of its mass and acceleration. The formula is:

F = m * a

Where:
F is the force applied on the object
m is the mass of the object
a is the acceleration of the object

Given information:
For object m1:
m1 = mass of object m1
a1 = acceleration of object m1 = 12 m/s²

For object m2:
m2 = mass of object m2
a2 = acceleration of object m2 = 3.3 m/s²

Step 1: Find the force applied on object m1 and object m2.
Since the force is the same for both objects, we can set their individual equations equal to each other:

F = m1 * a1 (equation for object m1)
F = m2 * a2 (equation for object m2)

Step 2: Solve for the force (F).
Set the two equations equal to each other and solve for F:

m1 * a1 = m2 * a2

Step 3: Find the acceleration for the object with mass (A).
Using the force (F) and the mass (A) of the new object, we can rearrange the formula to solve for the acceleration (a):

F = A * a

Divide both sides of the equation by A:

F / A = a

Step 4: Calculate the values.
Substitute the force (F) calculated from Step 2 and the given mass (A) into the equation from Step 3 to get the acceleration (a) for object A:

a = (m1 * a1) / A

For part B: the sum of m1 and m2, you simply add the two masses together:

m1 + m2

For part A: the difference between m1 and m2, you subtract the two masses:

m1 - m2

So, the acceleration for object with mass (A) would be:

a = (m1 * a1) / A
The sum of m1 and m2 would be:
m1 + m2
And the difference between m1 and m2 would be:
m1 - m2

To find the acceleration (A) for an object with mass m1 - m2, we can use the formula:

A = F / (m1 - m2)

Where F is the force applied.

To find the acceleration (B) for an object with mass m1 + m2, we can use the formula:

B = F / (m1 + m2)

Given that the force gives m1 an acceleration of 12 m/s^2 and the same force gives object m2 an acceleration of 3.3 m/s^2, we can substitute these values into the respective formulas.

For (A), we have:
A = F / (m1 - m2)
12 m/s^2 = F / (m1 - m2) ---(1)

For (B), we have:
B = F / (m1 + m2)
3.3 m/s^2 = F / (m1 + m2) ---(2)

Now, we have two equations with two unknowns. We can solve these equations to find the values of m1 - m2 and m1 + m2.

To solve the equations, let's divide equation (1) by equation (2):

(12 m/s^2) / (3.3 m/s^2) = (F / (m1 - m2)) / (F / (m1 + m2))
3.6364 = (m1 + m2) / (m1 - m2)

Now, let's simplify the equation:

3.6364(m1 - m2) = m1 + m2
3.6364m1 - 3.6364m2 = m1 + m2

Combine like terms:

3.6364m1 - m1 = 3.6364m2 + m2
2.6364m1 = 4.6364m2

Now, divide both sides by 2.6364:

m1 = (4.6364/2.6364) m2
m1 = 1.76 m2

So, the mass of object m1 is 1.76 times the mass of object m2.

Now, let's substitute this value back into either equation (1) or (2) to find the force (F).

Using equation (1):

12 m/s^2 = F / (m1 - m2)
12 m/s^2 = F / (1.76m2 - m2)
12 m/s^2 = F / (0.76m2)
F = 12 m/s^2 x 0.76m2
F = 9.12 m2/s^2

Now, substitute this force value and the mass values into equation (2) to find the acceleration B:

3.3 m/s^2 = F / (m1 + m2)
3.3 m/s^2 = 9.12 m2/s^2 / (1.76m2 + m2)
3.3 m/s^2 = 9.12 m2/s^2 / (2.76m2)
B = 9.12 m2/s^2 / (2.76m2)
B = 3.304 m/s^2

So, the acceleration for the object with mass (m1 - m2) is 9.12 m2/s^2, and the acceleration for the object with mass (m1 + m2) is 3.304 m/s^2.

F = m*a

a = F/m

F1 = m1*(12)
F2 = m2*(3.3)

F1 = F2
m1*(12) = m2*(3.3)
m1 = m2*(3.3/12)

1. m = m1-m2
a = F/(m1-m2)
a = F/[(m2*(3.3/12)-m2]
a = (m2*3.3)/[(-29/40)*m2]
a = -132/29 m/s^2 (<-- goes to negative direction)
*if m = m2-m1, a = 132/29 m/s^2

2. m = m1+m2
a = F/[(m2*(3.3/12)+m2]
a = (m2*3.3)/[(51/4)*m2]
a = 44/17 m/s^2