Question

A force of 5N gives a mass M1 an acceleration of 8m/s^2 and a mass m2 an acceleration of 24m/s^2. What will be the acceleration when both masses are tied together?​

Answer 1

GIVEN :-

• A Force , F = 5 N
• acceleration on mass M1 = 8 m/s².
• acceleration on mass M2 = 24 m/s².

TO FIND :-

• The acceleration when both masses are tied together.

SOLUTION :-

First Case,

• Mass = M1
• acceleration = 8 m/s².
• Force = 5 N

→ Force = mass × acceleration

→ Force/acceleration = mass

→ M1 = 5/8

→ M1 = 5/8 kg

Second case,

• Mass = M2
• acceleration = 24 m/s².
• Force = 5 N

→ Force = mass × acceleration

→ Force = mass × acceleration→ Force/acceleration = mass

→ M2 = 5/24

→ M2 = 5/24 kg

Now according to question we have to find the acceleration when both the masses are tied together, Therefore,

→ Mass = M1 + M2

→ Mass = 5/8 + 5/24

→ Mass = (15 + 5)/24

→ Mass = 20/24

Now for calculating the acceleration we have to put the formula → Force = mass × Acceleration.

→ Force = mass × Acceleration.

→ 5 = 20/24 × Acceleration

→ Acceleration = 5/(20/24)

→ Acceleration = 5 × 24/20

→ Acceleration = 24/4

→ Acceleration = 6 m/s²

Hence the required acceleration when both the masses are tied together is 6 m/s².