Solutions to Newton's Second Law: Expert Insights

Why can't $i ℏ \frac{\partial}{\partial t}$ be considered the Hamiltonian operator?

Ethen Frey 2022-07-19

Express Newton’s second law of motion for rotating bodies. What can you say about the angular velocity and angular momentum of a rotating nonrigid body of constant mass if the net torque acting on it is zero?

Hayley Bernard 2022-07-18

The Navier–Stokes equation is also known as:
(a) Newton’s first law
(b) Newton’s second law
(c) Newton’s third law
(d ) Continuity equation
(e) Energy equation

Dean Summers 2022-07-17

In the equation $\vec{F} = m \vec{a}$ is the acceleration vector always in the direction of the force vector, I mean why can’t they be in the opposite direction? Will this relationship break down in some scenario?

Matias Aguirre 2022-07-17

If one defines force as the time derivative of momentum, i.e. by
$\vec{F} = \frac{d}{d t} \vec{p}$
how can this include static forces? Is there a generally accepted way to argue in detail how to get from this to the static case? If not, what different solutions are discussed?

Elsa Brewer 2022-07-16

Can the second law of motion for rotation, $\vec{τ} = I \vec{α}$ , be used for any axis?
Is there any case that acceleration $\vec{α}$ is not in the direction of applied torque $\vec{τ}$ ?

logiski9s 2022-07-16

In my lecture today my professor briefly mentioned that force is the derivative of energy but I did not really get what he meant by that. I tried to express it mathematically:
$\frac{d}{d t} K_{E} = \frac{d}{d t} (\frac{1}{2} m v^{2}) = m v \frac{d v}{d t}$
This looks really close to Newton's second law $F = m a$ but there is an extra "v" in there. Am I missing something here?

Jayvion Caldwell 2022-07-14

We choose a system to be a spring + a connected body. If we stretch the body and leave it, it will make a simple harmonic motion. The center of mass of this system is approximately the center of mass of the body because the spring has a negligible mass. Newton's second law states that: $F_{e x t e r n a l} = M a_{c m}$ However, it is apparent that the center of mass has an acceleration though the total external force on the system is zero. What is the explanation?

Nkateko Bila2022-06-05

A force of 250 N is applied to a hydraulic jack piston that is 0.01 m in diameter. If the piston that supports the load has a diameter of 0.10 m, approximately how much mass can be lifted by the jack? Ignore any difference in height between the pistons.

Francisco Franza2022-05-31

lasquiyas5loaa 2022-05-20

The force that accelerates a rocket into outer space is exerted on a rocket by the exhaust gases. Which Newton’s Law of motion is illustrated in this situation?

Lloyd Allen 2021-11-21

The air pressure in the tires of a $980 - k g$ car is $3.0 \times 10^{5} \frac{N}{m^{2}}$ . Determine the average area of contact of each tire with the road.

Before you start solving Newton's second law practice problems or explore various equations for your lab report or specific course, it's essential to learn the theory. In basic terms, it says that the speed an object gain is taking place when a certain force has an effect on a mass, which is also represented by an object. For example, when we ride a bike, we can see how the force is applied. The bike represents the mass. The force that we apply is what provides an effect. You can take a look at similar questions as you explore Newton's second law examples based on laboratory tests and experiments. The other example of Newton's Second Law is the difference between pushing an empty mall cart compared to the one that's filled.

Force, Motion and Energy

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