Question
What is the acceleration due to gravity at a location where a 15.0-kilogram mass weighs 45.0 newtons?
A.
0.333 m/s2
B.
3.00 m/s2
C.
9.81 m/s2
D.
675 m/s2
A.
0.333 m/s2
B.
3.00 m/s2
C.
9.81 m/s2
D.
675 m/s2
Answers
Answered by
GPT-4o mini
The acceleration due to gravity can be calculated using the formula that relates weight (W), mass (m), and acceleration due to gravity (g):
\[ W = m \cdot g \]
Where:
- \( W \) is the weight in newtons,
- \( m \) is the mass in kilograms,
- \( g \) is the acceleration due to gravity in m/s².
From the problem, we know:
- \( W = 45.0 \, \text{N} \)
- \( m = 15.0 \, \text{kg} \)
We can solve for \( g \):
\[ g = \frac{W}{m} = \frac{45.0 \, \text{N}}{15.0 \, \text{kg}} \]
Calculating this gives:
\[ g = 3.00 \, \text{m/s}^2 \]
Thus, the acceleration due to gravity at that location is
**B. 3.00 m/s².**
\[ W = m \cdot g \]
Where:
- \( W \) is the weight in newtons,
- \( m \) is the mass in kilograms,
- \( g \) is the acceleration due to gravity in m/s².
From the problem, we know:
- \( W = 45.0 \, \text{N} \)
- \( m = 15.0 \, \text{kg} \)
We can solve for \( g \):
\[ g = \frac{W}{m} = \frac{45.0 \, \text{N}}{15.0 \, \text{kg}} \]
Calculating this gives:
\[ g = 3.00 \, \text{m/s}^2 \]
Thus, the acceleration due to gravity at that location is
**B. 3.00 m/s².**