Question

A force of 10 newton gives a man young and acceleration of 5 m per second square and the mass capital m and acceleration of 15 m per second square what acceleration will the same force produced if the two masses are tied together

Answer 1

Using Newton's second law,

F = m a

5 = M1 × 10

M1 = 5/10 = 0.5 kg

And

5 = M2 × 20

M2 = 5/20 = 0.25 kg

Total mass = 0.5 + 0.25 = 0.75 kg

Now as per question,

Let common acceleration is a,

F = (M1 +M2) ×a

5 = 0.75 × a

a = 5/0.75 =500/75 = 6.67 m/s²

Answer 2

Newton's second law,

F = M a

5 = M1 × 10

M1 = 5/10

= 0.5 kg

5 = M2 × 20

M2 = 5/20

= 0.25 kg

Now, total amount of mass,

= 0.5 + 0.25

= 0.75 kg

Let, Acceleration is (a)

F = (M1 + M2)× a

5 = 0.5 + 0.75 × a

5 = 0.75 × a

a = 5/0.75

a = 500/ 75

a = 6.67 m/s².

Hence, proved