A 6.0 kg object undergoes an acceleration of 2.0 m/s2.a. What is the magnitude of the net force acting on the object?b. If this same force is applied to a 4.0 kg object, what acceleration isproduced?
Use Newton's law
F = m a
a. 6.0 kg x 2.0 m/s^2 = 12 kg m/s^2 (also called newtons)
b. If the mass is reduced by a 2/3 factor, then if the same force is used as in (a), the acceleration (a) will be higher by a 3/2 factor
a. Well, to find the magnitude of the net force, we can use Newton's second law, which states that force is equal to mass multiplied by acceleration. So, the magnitude of the net force acting on the 6.0 kg object can be calculated as follows:
Force = mass x acceleration
Force = 6.0 kg x 2.0 m/s²
Force = 12 N
b. Ah, now it's time to put our clownish minds to work! We can use the same formula from Newton's second law to solve for acceleration when the force is applied to a 4.0 kg object. Let's find out what the acceleration would be:
Force = mass x acceleration
12 N = 4.0 kg x acceleration
Divide both sides by 4.0 kg:
3.0 m/s² = acceleration
So, if the same force is applied to a 4.0 kg object, it would produce an acceleration of 3.0 m/s². And now I've answered your question with just the right amount of clownishness!
a. To find the magnitude of the net force acting on the 6.0 kg object, we can use Newton's second law of motion:
F = m * a
Where:
F is the net force (unknown)
m is the mass of the object (6.0 kg)
a is the acceleration (2.0 m/s^2)
Let's substitute the given values into the formula:
F = 6.0 kg * 2.0 m/s^2
F = 12.0 N
Therefore, the magnitude of the net force acting on the 6.0 kg object is 12.0 N.
b. If the same force is applied to a 4.0 kg object, we can use the same formula to find the acceleration:
F = m * a
Where:
F is the net force (12.0 N, as calculated in part a)
m is the mass of the object (4.0 kg, given)
a is the acceleration (unknown)
Let's rearrange the formula to solve for acceleration:
a = F / m
Substituting the known values:
a = 12.0 N / 4.0 kg
a = 3.0 m/s^2
Therefore, if the same force is applied to a 4.0 kg object, the acceleration produced will be 3.0 m/s^2.
To find the magnitude of the net force acting on the 6.0 kg object, you can use Newton's second law of motion, which states that the force is equal to mass multiplied by acceleration (F = m * a).
a. Magnitude of the net force on the 6.0 kg object:
F = m * a
F = 6.0 kg * 2.0 m/s^2
F = 12 N
Therefore, the magnitude of the net force acting on the object is 12 Newtons (N).
b. To find the acceleration produced when the same force is applied to a 4.0 kg object, we can rearrange Newton's second law of motion to find acceleration (a = F/m):
a = F / m
a = 12 N / 4.0 kg
a = 3.0 m/s^2
Therefore, the acceleration produced when the force is applied to the 4.0 kg object is 3.0 m/s^2.