Calc force needed given objects mass & required acceleration

AI Thread Summary
To calculate the force needed to accelerate a 2.0kg ball at 3.0 m/s², the equation F=ma is used, resulting in 6N for a frictionless horizontal surface. For vertical acceleration, the force must also overcome the weight of the ball, calculated using w=mg, which equals 19.6N (2kg * 9.8m/s²). Therefore, the total force required for vertical acceleration is the sum of the weight and the force needed for acceleration, resulting in 25.6N (19.6N + 6N). Understanding the difference lies in recognizing that vertical motion requires additional force to counteract gravity. This distinction is crucial for solving similar physics problems.
Amelina Yoo
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Homework Statement


What is the force needed to accelerate a 2.0kg ball at 3.0ms^-2

a) In a frictionless horizontal surface, near the surface of the Earth
b) Vertically upward, near surface of the Earth

Homework Equations


f=ma
w=mg

The Attempt at a Solution


For a) F=2(3) = 6N
By inputing the variables into the formula, I got to an answer. but, I do not know how a) differs from b), as in what route to do for b...

Thank you for any help. :-)
 
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