Physics, 23.10.2019 18:00 Karlakins

Asmall sports car collides head-on with a massive truck. use propor- tional reasoning and newton’s second law to predict which vehicle experiences the greater impact force, and which vehicle experiences the greater acceleration. use equations to express your reasoning.

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Answer from: charliiboddie29

Both vehicles are influenced by the same force according to Newton's third law (same magnitude but opposite direction).

The smaller car experiences the greater acceleration because of its smaller mass, according to Newton's second law.

Explanation:

Newton's third law

When one body exerts a force on a second body, the second body simultaneously exerts a force equal in magnitude and opposite in direction on the first body.

Hence, both vehicles are influenced by the same force.

$F_{AB}$ : force exerted by the car

$F_{BA}$ : force exerted by the truck

$F_{AB}=-F_{BA}$

Newton's second law

In an inertial frame of reference, the vector sum of the forces F on an object is equal to the mass m of that object multiplied by the acceleration a of the object: F = ma.

$F_{AB}= m*a_{car}$

$F_{BA}=M*a_{truck}$

$m*a_{car}=M*a_{truck}$

$\frac{m}{M} =\frac{a_{truck}}{a_{car}}$

As the sport car has smaller mass, it would have a bigger acceleration.

Answer from: Quest

igneous rocks also form where plates converge. the subducting plate melts as it sinks into the crust of the earth, and the melt rises into the overriding plate forming volcanoes. metamorphic rocks are formed mainly in the lithosphere, wherever there is high pressure and high temperature. -woods

Answer from: Quest

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

$x(t)=ax(x-6)$

where $a$ is unknown. because the position is parabolic, there is symmetry about the midpoint at $t=3$ , and we know that

$x(3)=10\implies -9a=10\implies a=-\dfrac{10}9$

so that the position function is

$x(t)=-\dfrac{10}9x(x-6)$

which means the velocity is

$v(t)=\dfrac{\mathrm dx}{\mathrm dt}=-\dfrac{20}9x+\dfrac{60}9$

then the total distance traveled is

$\displaystyle\int_{t=0}^{t=6}|v(t)|\,\mathrm dt=\left\{\int_{t-0}^{t=3}-\int_{t=3}^{t=6}\right\}v(t)\,\mathrm dt=20$

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at $x=0$ and ends at $x=0$ , so its displacement is 0.

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Asmall sports car collides head-on with a massive truck. use propor- tional reasoning and newton’s s...