Question

a force of 5 Newton gives a mass M1 and acceleration of 8 metre per second square and M2 an acceleration of 24 metre per second square what acceleration would it give if both masses are tied together.​

Answer 1

Answer:

$\bigstar {GIVEN} \: :$

CASE 1:

• Force (F) = 5N.

• Mass (m) = M₁.

• Acceleration (a) = 8ms⁻².

CASE 2:

• Force (F) = 5N.

• Mass (m) = M₂.

• Acceleration (a) = 24ms⁻².

$\bigstar TO \:\: FIND:$

Acceleration if both masses are tied together (a₃).

$\bigstar FORMULA \: \: \: USED:$

Force (F) = Mass (M) × Acceleration (a)

$\bigstar SOLUTION:$

Calculate the mass is case 1.

$F=M_1a_1$

$5=M_1 \times 8$

$M_1 = \frac{5}{8} \: \: Kg.$

Don't convert this into a decimal, or else your calculations gets harder.

Now, calculate the mass is case 2.

$F=M_2a_2$

$5=M_2 \times 24$

$M_2=\frac{5}{24} \:\: Kg.$

Combined mass would be M₁+M₂, i.e,

$(M_1+M_2)=\frac{5}{8} +\frac{5}{24}$

$M_3=\frac{5}{6} \:\: Kg.$

Acceleration when combined mass (M₃) would be:

$F=M_3a_3$

Here, force is constant in all three cases.

$5=\frac{5}{6} \times a_3$

$a_3=\frac{6 \times 5}{5}$

$a_3=6ms^{-2}$

${\huge{\mathfrak{\underbrace{\blue{a_3=6ms^{-2}}}}$

$HOPE \:\: THIS \:\: HELPS \:\: :D$