Question

force of 10 Newton acting on an object of mass produced and acceleration of 5 metre per second square and on an object of mass and acceleration of 10 metre per second square what acceleration will be this post produced if both the masses are tied together​

Answer 1

Given :

➳ Force acts on both masses = 10N

➳ Acc. of mass A = 5m/s²

➳ Acc. of mass B = 10m/s²

To Find :

⟶ Both masses are tied together and the same force is applied. Acceleration produced by force.

SoluTion :

➾ As per Newton's second law of motion, Force is defined as the product of mass and acceleration.

✴ Mass of object A :

➻ F = ma

➻ 10 = m × 5

➻ m = 10/5

➻ m = 2kg

✴ Mass of object B :

➠ F = Ma

➠ 10 = M × 10

➠ M = 10/10

➠ M = 1kg

✴ Acceleration if combined mass :

⇒ F = (m + M)a

⇒ 10 = (2 + 1)a

⇒ a = 10/3

⇒ a = 3.33 m/s²

Answer 2

Given -

• force of 10 newton acting on an object of mass produced and acceleration of 5m/s^2 and on an object of mass and acceleration of 10m/s^2
• Force acting on both masses = 10N
• Acceleration of mass A = 5m/s^2
• Acceleration of mass B = 10m/s^2

To Find -

• Acceleration produced by both masses if same force is applied

Solution -

First of all, Let's calculate masses of objects A & B

★ Mass of Object A -

[tex]\boxed{F = Ma}[/tex]

$⟹10 = </strong><strong>m</strong><strong>1</strong><strong> \times 5$

$⟹m</strong><strong>1</strong><strong> = \frac{\cancel{10}}{\cancel{5}}$

$⟹m</strong><strong>1</strong><strong> = 2kg$

★ Mass of Object B -

[tex]\boxed{F = Ma}[/tex]

$⟹10 = </strong><strong>m</strong><strong>2</strong><strong> \times 10$

$⟹m</strong><strong>2</strong><strong> = \frac{\cancel{10}}{\cancel{10}}$

$⟹m</strong><strong>2</strong><strong> = 1kg$

★ Acceleration of combined masses of A & B -

[tex]\boxed{F = (m1 + m2) a}[/tex]

$⟹10 = (2 + 1)a$

$⟹10 = 3a$

$⟹a = \frac{\cancel{10}}{\cancel{3}}$

$⟹a = 3.33 {m</strong><strong>/</strong><strong>s}^{2}$

⛬ Acceleration of combined mass is 3.33 m/s ^2