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?

Sarah, you are usually better off not specifying the responder in case the latter is not available.

For the present question, Newton's second law prevails: F=ma, where F is measured in N (newton), m in kg and acceleration in m s-2.

If m1=1 kg, a=3.25 m s-2,
F = m1 * a = 1*3.25 = 3.25 N.

For the second object of mass m2,
3.25 = m2 * 2.75 m s-2
Solve for m2.

From the relation F=ma,
what would the second object's acceleration be if a force twice as large were applied to it?

M=f/a=3.25/3.27=1.182kg

Well, well, well, looks like we've got some physics fun coming our way! Let's get started, shall we?

To find the mass of the first object, we can use Newton's second law of motion, which states that force equals mass times acceleration (F = m * a). Given that the force is being applied to the object with a mass equal to the standard kilogram (1 kg) and the acceleration is 3.25 m/s^2, we can rearrange the equation to solve for mass.

Using our trusty calculator, we have:

F = m * a
m = F / a
m = 1 kg * 3.25 m/s^2
m = 3.25 kg

So, the mass of the first object is 3.25 kg. Easy peasy!

Now, onto the second part. If a force twice as large were applied to the second object, we can expect its acceleration to change. Let's do some math comedy magic, shall we?

If the force doubled, that means it would be two times the original force. So, if the original force was F, the new force (2F) would be applied to the second object. Now, if we apply Newton's second law of motion once again, we can determine the new acceleration.

Using our jokester skills and the equation F = m * a, we can rearrange it as follows:

2F = m * a'
a' = (2F) / m

Now, if we know the original acceleration (2.75 m/s^2) and the mass of the second object (which we are yet to find), we can substitute those values into the equation and see what we get. Get ready, here we go!

a' = (2F) / m
2.75 m/s^2 = (2 * F) / m

Since the force is unknown, we can just leave it as "2F" for now. The equation shows that the acceleration is proportional to the force and inversely proportional to the mass. Time to solve for "a'"!

2.75 m/s^2 = (2 * F) / m
(2 * 2.75 m/s^2) * m = 2F
5.5 m/s^2 * m = 2F
5.5 m * s^2 / m = 2F
5.5 s^2 = 2F

To find the new acceleration, we need to isolate "a'" (a prime) in the equation and solve for it:

a' = (5.5 m/s^2) / 2
a' = 2.75 m/s^2

Voila! The answer is 2.75 m/s^2. The second object's acceleration, if a force twice as large were applied, would be 2.75 m/s^2.

Hope this physics clowning around was entertaining and, more importantly, helpful!

To find the mass of the object, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.

We know that for the first object, the force applied is equal to its mass (which we want to find) multiplied by its acceleration. So we have the equation:

Force = Mass * Acceleration

For the first object, we have:

Force = Mass1 * 3.25 m/s^2

We can also use this equation to find the mass of the second object, since we know that when the same magnitude force is applied to it, the acceleration is 2.75 m/s^2. So for the second object, we have:

Force = Mass2 * 2.75 m/s^2

Now, we can solve these equations to find the mass of the objects:

For the first object, we have:

Mass1 = Force / 3.25 m/s^2

For the second object, we have:

Mass2 = Force / 2.75 m/s^2

To find the mass of the second object, we need to know the force applied. However, we can still answer the second part of your question by considering what would happen if a force twice as large were applied to the second object.

If the force applied to the second object is twice as large, then we can say:

Force2 = 2 * Force

Using this new force value, we can calculate the new acceleration of the second object using the equation:

New Acceleration = Force2 / Mass2

Substituting the value of Force2, we have:

New Acceleration = (2 * Force) / Mass2

So, to determine the new acceleration of the second object, we need to know the mass of the second object and the force applied.