A force of 12 N gives an acceleration of 4 ms ² to an object. The force required to give it an acceleration of 10 ms-² is: a) 15 N b) 20 N c) 25 N d) 30 N

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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**Physics Problem: Calculating Required Force for a Given Acceleration**

**Question:** 
A force of 12 N gives an acceleration of 4 m/s² to an object. The force required to give it an acceleration of 10 m/s² is:

a) 15 N   
b) 20 N   
c) 25 N   
d) 30 N  

To solve this problem, we can use Newton's Second Law of Motion, which states that Force (F) is equal to mass (m) multiplied by acceleration (a):
\[ F = m \cdot a \]

From the given information:
\[ 12 \, \text{N} = m \cdot 4 \, \text{m/s}^2 \]

Solving for mass (m):
\[ m = \frac{12 \, \text{N}}{4 \, \text{m/s}^2} = 3 \, \text{kg} \]

Now, we need to find the force required to give the object an acceleration of 10 m/s²:
\[ F = 3 \, \text{kg} \cdot 10 \, \text{m/s}^2 = 30 \, \text{N} \]

Therefore, the correct answer is:
d) 30 N
Transcribed Image Text:**Physics Problem: Calculating Required Force for a Given Acceleration** **Question:** A force of 12 N gives an acceleration of 4 m/s² to an object. The force required to give it an acceleration of 10 m/s² is: a) 15 N b) 20 N c) 25 N d) 30 N To solve this problem, we can use Newton's Second Law of Motion, which states that Force (F) is equal to mass (m) multiplied by acceleration (a): \[ F = m \cdot a \] From the given information: \[ 12 \, \text{N} = m \cdot 4 \, \text{m/s}^2 \] Solving for mass (m): \[ m = \frac{12 \, \text{N}}{4 \, \text{m/s}^2} = 3 \, \text{kg} \] Now, we need to find the force required to give the object an acceleration of 10 m/s²: \[ F = 3 \, \text{kg} \cdot 10 \, \text{m/s}^2 = 30 \, \text{N} \] Therefore, the correct answer is: d) 30 N
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