Physics, 04.07.2019 16:20 willcohen42

The net force on the propeller of a 3.2 kg model is 7.0 n forward. what is the acceleration of the plane

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Answer from: villarrealc1987

Acceleration of the plane, $a=2.18\ m/s^2$

Explanation:

It is given that,

Mass of the model, m = 3.2 kg

The net force acting on the propeller, F = 7 N

We need to find the acceleration of the plane. Let it is given by a. Using second law of motion, we can find the value of a. The mathematical relationship between the mass, force and the acceleration is given by :

$F=m\times a$

$a=\dfrac{F}{m}$

$a=\dfrac{7\ N}{3.2\ kg}$

$a=2.18\ m/s^2$

So, the acceleration of the plane is $2.18\ m/s^2$ . Hence, this is the required solution.

Answer from: Quest

newton's first law of motion

Answer from: Quest

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

$f\alpha \frac{dp}{dt}$

⇒ $f= k \frac{dp}{dt}$

here k is the proportionality constant whose value is 1.

$f=\frac{dp}{dt}$

$f= \frac{d[mv]}{dt}$

$f= m\frac{dv}{dt} +v\frac{dm}{dt}$

$f=ma+v\frac{dm}{dt}$ [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.

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