Two masses of 10 kg and 20 kg respectively are connected by a massless spring as shown in figure. A force of 200 N acts on the 20 kg mass. at the instant shown, the 10 kg mass has acceleration 12 m / s 2. What is the acceleration of 20 kg mass?

Question

Two masses of 10 kg and 20 kg respectively are connected by a massless spring as shown in figure. A force of 200 N acts on the 20 kg mass. at the instant shown, the 10 kg mass has acceleration 12 m / s 2. What is the acceleration of 20 kg mass? (A) 12 m / s 2 (B) 4 m / s 2 (C) 10 m / s 2 (D) Zero

Tardigrade Admin · Accepted Answer

As the mass of 10 kg has acceleration 12 m/s2 , therefore it applies 120 N force on mass 20 kg in a backward direction. ∴ Net forward force on 20 kg mass =200-120=80 N ∴ Acceleration =(80/20)=4 m/s2

Q. Two masses of $10 k g$ and $20 k g$ respectively are connected by a massless spring as shown in figure. A force of $200 N$ acts on the $20 k g$ mass. at the instant shown, the $10 k g$ mass has acceleration $12 m / s^{2}$ . What is the acceleration of $20 k g$ mass?

$12 m / s^{2}$

$4 m / s^{2}$

$10 m / s^{2}$

Zero

As the mass of $10 k g$ has acceleration $12 m / s^{2}$ ,
therefore it applies $120 N$ force on mass $20 k g$ in a backward direction.
$∴$ Net forward force on $20 k g$ mass
$= 200 - 120 = 80 N$
$∴$ Acceleration $= \frac{80}{20} = 4 m / s^{2}$

Q. Two masses of 10kg and 20kg respectively are connected by a massless spring as shown in figure. A force of 200N acts on the 20kg mass. at the instant shown, the 10kg mass has acceleration 12m/s2. What is the acceleration of 20kg mass?

12m/s2

4m/s2

10m/s2