Finding force given constant velocity and mass?

AI Thread Summary
To find the force exerted by a man lifting a 2.2 kg stone at a constant velocity of 1.5 m/s, the relevant equation is F=ma. Since the stone is moving at a constant velocity, its acceleration is zero, meaning the net force acting on it is also zero. The force exerted by the hand must equal the weight of the stone, which is calculated as 21.582 N. Therefore, the force exerted by the hand is equal to the weight of the stone, not greater. For additional questions, it is advisable to post a new thread if the inquiry diverges significantly from the original topic.
BlueSkyy
Messages
34
Reaction score
0

Homework Statement



A man lifts a 2.2 kg stone vertically with his hand at a constant velocity of 1.5 m/s. What is the force exerted by his hand on the stone?

Homework Equations



F=ma (I would assume)

The Attempt at a Solution



I know that (9.81 m/s^2)x(2.2 kg) = 21.582 N (the weight and the normal force) and that the force exerted by the hand must be greater than that to make the stone rise...But when there is a constant velocity, isn't the acceleration 0? How would that work with F=ma?
 
Physics news on Phys.org
There are two forces acting on the stone, gravity and the force exerted by the hand. As you have correctly deduced, a=0. The F in F=ma is the sum of all of the forces. So what do you conclude about the sum of all the forces? The force exerted by the hand doesn't have to be greater than weight. It just has to be ____. Fill in the blank.
 
Would the force exerted by the hand be equal to the weight? That was what I thought at first, but then I got all confused thinking about net forces and normal forces and acceleration... :)

I have another question that is confusing me, should I post a new thread or use this one?
 
That would be correct. If it's a quick similar one you can do it here. If it's a whole new line of inquiry, I'd start another one.
 
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
Back
Top