- #1
annala
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Homework Statement
How much tension must a rope withstand if it is used to accelerate a 1200-kg car at 0.60m/s2? Ignore friction
In summary, the formula for calculating tension is T = m * a, where T is tension, m is mass, and a is acceleration. To determine the tension required for a specific mass and acceleration, use the formula T = m * a. The unit of measurement for tension is Newtons (N). The acceleration directly affects the tension required. As the acceleration increases, the tension required also increases. While there are other formulas that can be used to calculate tension, for a car with a known mass and acceleration, the T = m * a formula is the most appropriate and accurate.
How much tension must a rope withstand if it is used to accelerate a 1200-kg car at 0.60m/s2? Ignore friction
- #2
tiny-tim
Science Advisor
Homework Helper
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Welcome to PF!
Hi annala! Welcome to PF!
Use good ol' Newton's second law … F = ma.
annala said:
Hi annala! Welcome to PF!
Use good ol' Newton's second law … F = ma.
- #3
baba89
- 1,215
- 0
To calculate the tension required for the rope, we can use Newton's Second Law which states that force (F) is equal to mass (m) multiplied by acceleration (a). In this case, the force (F) is the tension in the rope, the mass (m) is 1200 kg, and the acceleration (a) is 0.60 m/s^2. Therefore, the equation would be F = ma. Substituting the values, we get F = (1200 kg)(0.60 m/s^2) = 720 N. This means that the rope must withstand a tension of 720 Newtons in order to accelerate the 1200-kg car at 0.60 m/s^2. It is important to note that this calculation does not take into account any friction, which may require a higher tension in the rope.
FAQ: Tension Required for 1200-kg Car @ 0.60m/s2
What is the formula for calculating tension?
The formula for calculating tension is T = m * a, where T is tension, m is mass, and a is acceleration.
How do you determine the tension required for a specific mass and acceleration?
To determine the tension required for a specific mass and acceleration, use the formula T = m * a. Plug in the given values for mass and acceleration to solve for tension.
What is the unit of measurement for tension?
The unit of measurement for tension is Newtons (N).
How does the acceleration affect the tension required?
The acceleration directly affects the tension required. As the acceleration increases, the tension required also increases.
Can the tension required for a 1200-kg car @ 0.60m/s2 be calculated using a different formula?
Yes, there are other formulas that can be used to calculate tension, such as T = F * d, where F is force and d is distance. However, for a car with a known mass and acceleration, the T = m * a formula is the most appropriate and accurate.