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djverab [1.8K]
3 years ago
14

When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain con

stant force acts upon an object
with mass 4 kg, the acceleration of the object is 5 m/s. When the same force acts upon another object, its acceleration is 2 m/s.. What is the mass of this
object?
Mathematics
1 answer:
marusya05 [52]3 years ago
4 0

Answer: The mass of the object is 10 kg

Step-by-step explanation:

According to Newton's second law of motion, the force F applied to an object with mass m is directly proportional to its acceleration a:

F=ma (1)

If we isolate a:

a=\frac{F}{m} (2) This means the acceleration of the object varies inversely with its mass

Now, we are given the following data to calculate a constant force using (1):

m_{1}=4 kg

a_{1}=5 m/s^{2}

F=m_{1}a_{1} (3)

F=(4 kg)(5 m/s^{2) (4)

F=20 N (5)

If we apply this same force calulated in (4) in another object with an acceleration of a_{2}=2 m/s^{2}, its mass m_{2} will be:

F=m_{2}a_{2} (6)

20 N=m_{2}2 m/s^{2} (7)

Finding  m_{2}:

m_{2}=10 kg This is the mass of the object

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ANSWER

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<u>Answer:</u>

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<u>Solution:</u>

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