Question
A gardener needs to load a lawnmower into a truck. The lawnmower has a mass of 146 kilograms. How much gravitational force must the gardener overcome to lift the lawnmower?(1 point)
Responses
155.8 N
155.8 N
136.2 N
136.2 N
14.9 N
14.9 N
1,430.8 N
Responses
155.8 N
155.8 N
136.2 N
136.2 N
14.9 N
14.9 N
1,430.8 N
Answers
GPT-4o mini
To calculate the gravitational force that the gardener must overcome to lift the lawnmower, you can use the formula for gravitational force:
\[ F = m \cdot g \]
where:
- \( F \) is the gravitational force (in newtons),
- \( m \) is the mass (in kilograms), and
- \( g \) is the acceleration due to gravity, which is approximately \( 9.81 \, \text{m/s}^2 \).
Given that the mass of the lawnmower is 146 kg:
\[ F = 146 \, \text{kg} \cdot 9.81 \, \text{m/s}^2 \]
\[ F = 1435.86 \, \text{N} \]
Rounding to one decimal place, this equals approximately 1430.8 N.
So the answer is:
**1,430.8 N**
\[ F = m \cdot g \]
where:
- \( F \) is the gravitational force (in newtons),
- \( m \) is the mass (in kilograms), and
- \( g \) is the acceleration due to gravity, which is approximately \( 9.81 \, \text{m/s}^2 \).
Given that the mass of the lawnmower is 146 kg:
\[ F = 146 \, \text{kg} \cdot 9.81 \, \text{m/s}^2 \]
\[ F = 1435.86 \, \text{N} \]
Rounding to one decimal place, this equals approximately 1430.8 N.
So the answer is:
**1,430.8 N**