Respuesta :
Answer:
Step-by-step explanation:
F=(2kg)×(3ms2). ∴F=6kgms2=6 Newton. =6N. Therefore, Force required to accelerate the body is 6N
The force the same object will exert if it accelerates at a rate of 7 m/s² is 35 N
From the question,
We have that,
Newton's second law of motion states that the acceleration of an object is directly proportional to the force exerted on the object
Let a represent the acceleration and F represent the force exerted
Them we can write that
F ∝ a
Introducing a constant, m, which is the mass of the object
Then, we get
F = ma
From the question,
If an object accelerates at a rate of 3 m/s² , it will exert a force of 15 N
We will the determine the mass, m, of the object using the above formula
F = ma
We have that
a = 3 m/s²
F = 15 N
Using
F = ma
Then,
15 = m × 3
m = 15÷3
∴ m = 5kg
Now, we can determine the force the same object would exert if it accelerates at at rate of 7 m/s²
Using the same formula
F = ma
a = 7 m/s²
m = 5 kg
∴ F = 5 × 7
F = 35 N
Hence, the force the same object will exert if it accelerates at a rate of 7 m/s² is 35 N
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