Calc force needed given objects mass & required acceleration

In summary, the force needed to accelerate a 2.0kg ball at 3.0ms^-2 on a frictionless horizontal surface near the surface of the Earth is 6N. When considering vertical acceleration near the surface of the Earth, the force required to keep the object in place is equal to its weight, which can be calculated using the formula f=ma or w=mg.
  • #1

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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  • #2
At Earth's surface, what force has to be applied to the object just to keep it where it is?
 

What is the formula for calculating force given an object's mass and required acceleration?

The formula for calculating force is F = m * a, where F is the force in Newtons, m is the mass of the object in kilograms, and a is the acceleration in meters per second squared.

How do I determine the mass and acceleration of an object?

The mass of an object can be determined by measuring its weight using a scale or by using the object's density and volume. Acceleration can be measured using a speedometer or by calculating the change in velocity over time.

What units should be used for mass and acceleration in the force formula?

The mass should be in kilograms and the acceleration should be in meters per second squared in order to get the force in Newtons.

What is the relationship between force, mass, and acceleration?

According to Newton's second law of motion, force is directly proportional to mass and acceleration. This means that as the mass of an object increases, the force needed to accelerate it also increases. Similarly, as the acceleration increases, the force needed to achieve it also increases.

Can the force needed change if the mass or acceleration of the object changes?

Yes, the force needed will change if the mass or acceleration of the object changes. This is because force is dependent on both mass and acceleration, and any change in either of these factors will result in a change in the force needed.

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