When a force is applied to an object with mass equal to the standard kilogram, the acceleration of the mass is 3.25 m/s2. When the same magnitude force is applied to another object, the acceleration is 2. 75 m/s2. What is the mass of the object? What would the second object's acceleration be if a force twice as large were applied to it?
1.18kg and 5.5m/s/s
An object acted on by a force of 2.8 N accelerates, 3.6 m/s2. What is the mass of the object?
To find the mass of the first object, we can use Newton's second law of motion, which states that the force applied to an object is equal to the mass of the object multiplied by its acceleration (F = m*a).
Given that the force applied to the first object is equal to the weight of the standard kilogram, which is approximately 9.8 m/s^2 (considering the acceleration due to gravity), and the acceleration is 3.25 m/s^2, we can set up the equation as follows:
m * 3.25 m/s^2 = 9.8 m/s^2
To solve for the mass (m), we divide both sides of the equation by 3.25 m/s^2:
m = 9.8 m/s^2 / 3.25 m/s^2
m ≈ 3 kg
Therefore, the mass of the first object is approximately 3 kg.
Now, let's consider the second object. Since the force applied is the same magnitude, but we want to find the new acceleration if a force twice as large were applied, we can calculate it using the same approach.
Let's assume the second object has a mass of "m2," and the original force applied to it results in an acceleration of 2.75 m/s^2. Now, if a force twice as large is applied, the new force can be considered as 2 times the original force.
Using Newton's second law, we have:
(m2 * 2 * original acceleration) = 2 * m2 * 2.75 m/s^2
Therefore, the new acceleration would be 2 * 2.75 m/s^2 = 5.5 m/s^2.
Hence, if a force twice as large is applied to the second object, its new acceleration would be 5.5 m/s^2.