Physics, 10.07.2019 11:00 evere11605

The acceleration due to gravity on planet x is one fifth that on the surface of the earth. if it takes 4.1 s for an object to fall a certain distance from rest on earth, how long would it take to fall the same distance on planet x? answer in units of s.

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In case of earth,
s = v0t + 0.5gt^2
=0+0.5*9.8*(4.1)^2
=82.369 m
in case of planet X, falling from the same distance
82.369 = 0 + 0.5*(9.8/5)*t^2
or,t^2 = 82.369/0.98
or, t = 9.168 s (approx.)

So, it will take around 9.168 s

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.

Answer from: Quest

Definitely the indoraptor

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The acceleration due to gravity on planet x is one fifth that on the surface of the earth. if it tak...

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