Two smooth blocks m and M are placed over each other on a smooth horizontal surface. The block M is pulled with an external horizontal force F as shown below. The accelerations of M and m in the direction of F respectively are ______.
A) 
B) 
C) 
D) 
Answer with proper explanation required.
SOURCE: ANTHE Sample Paper 2020.
Answers
Given :
Two smooth blocks of masses m and M are placed over each other on a smooth horizontal surface.
- Block M is pulled with an external horizontal force F as shown in the figure.
To Find :
Accelerated of both blocks.
Solution :
❒ First of all we need to decide that, will both blocks move with same acceleration or with different acceleration.
- In this question, Only block of mass M will move with some acceleration. Second block will slip as friction isn't present between both blocks.
- Therefore acceleration of block of mass m will be 0.
❒ As per newton's second law of motion, force is measured as the product of mass and acceleration
Mathematically, F = m a
- F denotes mass
- m denotes mass
- a denotes acceleration
By substituting the given values;
➙ F = M × a
➙ a = F / M
∴ (D) is the correct answer!
Answer:
Option D is correct
Explanation:
Given :
Two smooth blocks of masses m and M are placed over each other on a smooth horizontal surface.
Block M is pulled with an external horizontal force F as shown in the figure.
To Find :
Accelerated of both blocks.
Solution :
First of all we need to decide that, will both blocks move with same acceleration or with different acceleration.
In this question, Only block of mass M will move with some acceleration. Second block will slip as friction isn't present between both blocks.
Therefore acceleration of block of mass m will be 0.
As per newton's second law of motion, force is measured as the product of mass and acceleration
Mathematically, F = m a
F denotes mass
m denotes mass
a denotes acceleration
By substituting the given values;
➙ F = M × a
➙ a = F / M
∴ (D) is the correct answer!