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
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.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10e33cc6-7d65-45fe-99b2-e36c3c55b753%2F124fbbd2-ce2d-45af-892b-a5e0a033efd1%2Faiuzvbn_processed.png&w=3840&q=75)
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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