Physics, 29.10.2019 19:31 camballard3848

A5.0-kg box moving at 6.0 m/s on a horizontal, frictionless surface runs into a light spring of force constant 60 n/cm. you may want to review (pages 183 - 189) . for related problemsolving tips and strategies, you may want to view a video tutor solution of motion with a varying force.

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Answer from: ilovecatsomuchlolol

The maximum compression of the spring is 1.73 cm.

Explanation:

Given that,

Mass of box = 5.0 kg

Speed = 6.0 m/s

Spring constant = 60 N/cm

Suppose use the work-energy theorem to find the maximum compression of the spring.

We need to calculate the maximum compression of spring

Using work -energy theorem

$\dfrac{1}{2}mv^2=\dfrac{1}{2}kx^2$

$x^2=\dfrac{mv^2}{k}$

$x=\sqrt{\dfrac{mv^2}{k}}$

Put the value into the formula

$x=\sqrt{\dfrac{5.0\times(6.0)^2}{60}}$

$x=1.73\ cm$

Hence, The maximum compression of the spring is 1.73 cm.

Answer from: Quest

Gas will most likely fill the container

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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A5.0-kg box moving at 6.0 m/s on a horizontal, frictionless surface runs into a light spring of forc...