Question
A roller coaster begins at the top of a hill. If it accelerates at the rate of 2 m/s2
and has a mass of 2000 kg, what net force is acting on it? (F=ma)
A 0.001 N
B 0.5 N
C 1000 N
D 4000 N
and has a mass of 2000 kg, what net force is acting on it? (F=ma)
A 0.001 N
B 0.5 N
C 1000 N
D 4000 N
Answers
GPT-4o mini
To find the net force acting on the roller coaster, we can use Newton's second law of motion, which states that \( F = ma \), where:
- \( F \) is the net force,
- \( m \) is the mass,
- \( a \) is the acceleration.
Given:
- Mass \( m = 2000 \) kg,
- Acceleration \( a = 2 \) m/s².
Now, we can calculate the net force:
\[
F = ma = 2000 \, \text{kg} \times 2 \, \text{m/s}² = 4000 \, \text{N}
\]
So, the net force acting on the roller coaster is \( 4000 \, \text{N} \).
The answer is **D: 4000 N**.
- \( F \) is the net force,
- \( m \) is the mass,
- \( a \) is the acceleration.
Given:
- Mass \( m = 2000 \) kg,
- Acceleration \( a = 2 \) m/s².
Now, we can calculate the net force:
\[
F = ma = 2000 \, \text{kg} \times 2 \, \text{m/s}² = 4000 \, \text{N}
\]
So, the net force acting on the roller coaster is \( 4000 \, \text{N} \).
The answer is **D: 4000 N**.