Physics, 30.10.2019 22:31 19thomasar

You are in a small spacecraft that has no windows traveling through space. the craft is accelerating and you have a bathroom scale at your disposal. before you left earth that morning you weighed yourself to be 150 lbs. you step on the scale and find it reads 175 lbs. how fast is the craft accelerating in m/s2?

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Answer from: jasbutt015p2pqp8

$11.4333 m.s^{-2}$

Explanation:

Given:

actual weight on the earth, m = 150 lbs × g = 68.0389 kgfapparent weight in the spacecraft, M = 175 lbs × g = 79.3787 kgf

∵The apparent weight increases it means that the spacecraft is accelerating in the direction opposite to the gravity and having the value greater than 9.8 $m.s^{-2}$

DIfference in the weight,

F= M.g - m.g

$F= (79.3787 -68.0389 )\times 9.8$

$F=11.3398\times 9.8\\F=111.13004 N$

This difference in weight is due to the difference in acceleration of the gravity and the spacecraft.

So, the quantity of acceleration responsible for this difference in weight:

$F=m.\Delta a$ .................(1)

where:

m= mass of the body being accelerated

$\Delta a$ = difference in the acceleration

from eq. (1)

$111.13004 = 68.0389 \times \Delta a$

$\Delta a=1.6333 m.s^{-2}$

∴The actual accelerationof the spacecraft:

a= $g+\Delta a$

a = 9.8 + 1.6333

a = $11.4333 m.s^{-2}$

Answer from: Quest

i think the answer is a and b

i wish you luck

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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