a 5 kg block is pulled across a table by a horizontal force. a 40 N with a frictional force of 8 n opposing the motion. Calculate the acceleration of the object
Answers
Answer:
Explanation:
Acceleration = Net force/mass
here,
Net force = 40 - 8 = 32 N
friction will negative because acceleration is against the frictionso,
acceleration = 32/5
= 6.4 m/s²
Answer :
›»› The Acceleration of the object = 6.4 m/s²
Given :
- Mass of block (m) = 5 kg
- Action force on block, (F₁) = 40 N
- Frictional force opposing the motion (F₂) = 8 N
To Find :
- Acceleration of the object (a) = ?
Required Solution :
❒ Here in this question we have to find Acceleration of the object. So, firstly we have to find Net force of block after that we will find Acceleration of the object on the basis of conditions given above
⇒ Net force = Action force on block - Opposing friction force
⇒ F = F₁ - F₂
⇒ F = 40 - 8
⇒ F = 32 N
Now, we have to two elements that used in formula, Net force and Mass of block.
- Net force of the block (F) = 32 N
- Mass of block (m) = 5 kg
And we have to find Acceleration of the object.
We can find Acceleration of the object by using the Second law of Newton which says F = ma
Here,
- F is the Force in N.
- m is the Mass in kg.
- a is the Acceleration in m/s².
So let's find Acceleration (a) !
† From second law of Newton
⇛ F = ma
⇛ a = F/m
⇛ a = 32/5
⇛ a = 6.4 m/s²
║Hence, the Acceleration of the object is 6.4 m/s².║