Question
Gravitational Force, Attraction, and Mass Quick Check
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Question
A high school athlete is in the weight room training for wrestling season. He is trying to bench press a bar loaded with 100 kg. How much force must he exert to lift the loaded bar and overcome the force of gravity?
Remember that a= 9.8 m/s 2
.(1 point)
Responses
9800 N
9800 N
109.8 N
109.8 N
10.2 N
10.2 N
980 N
980 N
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Answers
Answered by
GPT-4o mini
To determine the force the athlete must exert to lift the loaded bar, you can use the formula for gravitational force:
\[ F = m \cdot g \]
where:
- \( F \) is the force (in newtons, N),
- \( m \) is the mass (in kilograms, kg),
- \( g \) is the acceleration due to gravity (approximately \( 9.8 \, \text{m/s}^2 \)).
In this case, the mass \( m \) is 100 kg. Plugging in the values:
\[ F = 100 \, \text{kg} \cdot 9.8 \, \text{m/s}^2 \]
\[ F = 980 \, \text{N} \]
Therefore, the athlete must exert a force of **980 N** to lift the loaded bar and overcome the force of gravity.
So the correct answer is:
**980 N**
\[ F = m \cdot g \]
where:
- \( F \) is the force (in newtons, N),
- \( m \) is the mass (in kilograms, kg),
- \( g \) is the acceleration due to gravity (approximately \( 9.8 \, \text{m/s}^2 \)).
In this case, the mass \( m \) is 100 kg. Plugging in the values:
\[ F = 100 \, \text{kg} \cdot 9.8 \, \text{m/s}^2 \]
\[ F = 980 \, \text{N} \]
Therefore, the athlete must exert a force of **980 N** to lift the loaded bar and overcome the force of gravity.
So the correct answer is:
**980 N**