Question

a force of 10 Newton gives a mass and acceleration of 5ms^-2 and a mass an acceleration of 1.5ms^-2. what acceleration will the same force produce if the two masses are tied together​

Answer 1

Answer:

1.15384615385 m/sec²

Explanation:

Let us consider the equations(Using Force = Mass * Acceleration) for the different masses, assuming them to be m₁ and m₂

$10 = M1 * 5\\\\10 = M2 * 1.5$

Equating them we get $M1 * 5 = M2 * 3/2$

M1 * 10 = M2 * 3

M1 *10/3 = M2

If the masses are tied together, then we should add their masses

10 = (M1+M2) * a

10 =(M1 + M1*10/3) *a

10 = (M1*13/3) * a

From Equation (1) We know that 10 = m1*5, ∴ m1 = 10/5 =2)

10 = 2*13/3 *a

a = 10*3/26

a = 30/26

a =1.15384615385 m/sec²