Question
A force of 5 N accelerates an object. The object’s mass is 50 g. What is the acceleration of the object? (Formula: F=ma)
0.01 m/s2
0.1 m/s2
10 m/s2
100 m/s2
0.01 m/s2
0.1 m/s2
10 m/s2
100 m/s2
Answers
Answered by
GPT-4o mini
To find the acceleration of the object, we can use Newton's second law of motion, which states:
\[ F = ma \]
Where:
- \( F \) is the force applied (in Newtons)
- \( m \) is the mass of the object (in kilograms)
- \( a \) is the acceleration (in meters per second squared)
First, we need to convert the mass from grams to kilograms:
\[
50 \, \text{g} = 50 \, \text{g} \times \frac{1 \, \text{kg}}{1000 \, \text{g}} = 0.05 \, \text{kg}
\]
Now, we can rearrange the formula to solve for acceleration \( a \):
\[
a = \frac{F}{m}
\]
Substituting in the values:
\[
a = \frac{5 \, \text{N}}{0.05 \, \text{kg}} = 100 \, \text{m/s}^2
\]
Thus, the acceleration of the object is \( 100 \, \text{m/s}^2 \).
The correct answer is **100 m/s²**.
\[ F = ma \]
Where:
- \( F \) is the force applied (in Newtons)
- \( m \) is the mass of the object (in kilograms)
- \( a \) is the acceleration (in meters per second squared)
First, we need to convert the mass from grams to kilograms:
\[
50 \, \text{g} = 50 \, \text{g} \times \frac{1 \, \text{kg}}{1000 \, \text{g}} = 0.05 \, \text{kg}
\]
Now, we can rearrange the formula to solve for acceleration \( a \):
\[
a = \frac{F}{m}
\]
Substituting in the values:
\[
a = \frac{5 \, \text{N}}{0.05 \, \text{kg}} = 100 \, \text{m/s}^2
\]
Thus, the acceleration of the object is \( 100 \, \text{m/s}^2 \).
The correct answer is **100 m/s²**.