SO desperate with help with this. What is the magnitude of the acceleration that this force will cause when applied to a car with a mass of 1.1x10³Kg
Then calculate the final speed of the car (above) assuming that it was standing still initially and that the force of 5.0 x 10³ N is applied for 6.0s
Why would the car take longer to reach the calculated speed if the car's mass was 1.4 x10³Kg. which part of newtons second law would explain this.
THA
A force of 5.0 x 10^3 N applied for 6.0s will increase the momentum (MV) by
30*10^3 kg*m/s . Since M = 1.1*10^3 kg, the final velocity will be 30/1.1 = 27.3 m/s
A heavier mass will take longer to reach the same speed because it is harder to accelerate. That is a result of Newton's second law, F = ma.
THANK YOU what is the magnitude of acceleration that the force 5.0 x 10³ N causes when applied to a vehicle with a mass of 1.1x10³kg???
How do i present the answer for this ?
To calculate the magnitude of acceleration caused by a force, we can use Newton's second law of motion, which states that force equals mass multiplied by acceleration (F = ma).
1. Magnitude of Acceleration:
Given:
- Force (F) = 5.0 x 10³ N
- Mass (m) = 1.1 x 10³ kg
To find acceleration (a), we rearrange the formula:
a = F / m
Substituting the values, we get:
a = (5.0 x 10³ N) / (1.1 x 10³ kg)
a ≈ 4.55 m/s²
Therefore, the magnitude of acceleration that this force will cause is approximately 4.55 m/s².
2. Final Speed:
Given:
- Time (t) = 6.0 s (the amount of time the force is applied)
To calculate the final speed (v), we can use the equation:
v = at
Substituting the values, we have:
v = (4.55 m/s²) * (6.0 s)
v ≈ 27.3 m/s
Therefore, the final speed of the car, assuming it was initially stationary and the force of 5.0 x 10³ N was applied for 6.0 s, is approximately 27.3 m/s.
3. Longer Time with Increased Mass:
If the car's mass were increased to 1.4 x 10³ kg, it would take longer to reach the calculated speed. This can be explained by Newton's second law, which states that the force required to accelerate an object is directly proportional to its mass.
The equation to calculate the force required is:
F = ma
If the mass (m) increases, and the force (F) remains the same, the acceleration (a) will decrease. Thus, the car will take longer to reach the calculated speed.
In summary, the increased mass requires a greater force to achieve the same acceleration, resulting in a longer time to reach the final speed. This concept is explained by the second part of Newton's second law of motion.