Help with Newtons Second Law Question Please.

AI Thread Summary
To calculate the force needed to accelerate a 2.0 kg ball at 3.0 m/s², the formula F = m*a is applied. In space, the force is 6 N, while on a frictionless surface near Earth, the same calculation yields 6 N. For vertical acceleration near the Earth's surface, the confusion arises regarding the net force needed to overcome gravity. The correct calculation involves accounting for gravitational acceleration, leading to a force of 25.6 N when properly calculated. The discussion highlights the importance of careful arithmetic and understanding of forces in different contexts.
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Homework Statement



Calculate the force needed to accelerate a 2.0kg ball at 3.0ms^2

(A) In space, a long way from Earth.
(B) On a frictionless horizontal surface, near the surface of the earth.
(C) vertically upward, near the surface of the earth.

Homework Equations



F = m*a

The Attempt at a Solution



(A) F = 2.0 * 3.0
F= 6N?

(B) Same as above?

(C) I am confused on this one.

Would it be F = m*a

F = 2.0 *(9.8 - 3.0)
F= 2.0 * 6.8
F= 13.6N?

or

F = 2.0 * 12.8 (To get from -9.8 to 3 = 12.8)
F= 24.8N

If those answers are wrong could anyone point me in the right direction as to what I am doing wrong?

Thanks.
 
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Edit: Aha, check your final line, you sure That 2 * 12.8 = 24.8? 0.o

First two are fine
 
Chewy0087 said:
Edit: Aha, check your final line, you sure That 2 * 12.8 = 24.8? 0.o

First two are fine

Ahaha... I mean 25.6 :)
 
thats right
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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