Physics, 14.01.2020 21:31 asianaenaeh

A7.5 kg stone moves up frictionless hill that slopes upward at 41 above the horizontal. if the stone has a initial velocity of 8.5 m/s at the bottom, how far (as measured along the surface of the hill) will it go before stopping?

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Answer from: bartfrank447

The stone will reach 3.2 m along the surface of the hill before stopping.

Explanation:

Let the height reached by the stone be 'h' m

Given:

Mass of the stone is 7.5 kg.

Angle of inclination is, $\theta = 41\°$

Initial velocity of the stone at the bottom is, $v=8.5\ m/s$

Final velocity of the stone at the top is 0 m/s.

Now, as per conservation of energy principle, sum of total energy is always conserved. Therefore, decrease in kinetic energy is equal to the increase in its potential energy.

Increase in Potential Energy = Decrease in Kinetic Energy

⇒ $mgh = \frac{1}{2}mv^2$

⇒ $gh= \frac{1}{2}v^2$

⇒ $h=\frac{v^2}{2g}$

Plug in the given values and solve for 'h'. This gives,

$h=\frac{8.5^2}{2\times 9.8}=3.686\ m$

Now, slant height is given using the trigonometric ratio. The slant length 'L' is the hypotenuse and 'h' is the opposite side. Therefore,

$\tan \theta=\frac{L}{h}\\\\L=h\times \tan\theta\\\\L=3.686\times \tan(41)\\\\L=3.2\ m$

Therefore, the stone will reach 3.2 m along the surface of the hill before stopping.

A7.5 kg stone moves up frictionless hill that slopes upward at 41 above the horizontal. if the stone

Answer from: Quest

distance on the y-axis and time on the x-axis.

explanation:

the instantaneous velocity = change in position/time taken

the slope of the graph should give instantaneous velocity.

slope of a graph = change in value of y -axis / change in values of x -axis

comparing both the equations

change in value of y -axis = change in position

change in values of x -axis = time taken

so position values should be on the y axis and time values should be on the x axis.

distance on the y-axis and time on the x-axis.

Answer from: Quest

it's when something is going so fast it makes a loud noise, breaking the sound barrier, for example: a jet makes a loud noise, not only cause of the jet but because they reached a point where they went so fast that you can year the noise from various parts, kinda like a police car, lets say the car was going so fast that you hear the siren of the cop car right next to you, but the car is probably a mile a way, it's cos the siren was next to you a few seconds if you understand me

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A7.5 kg stone moves up frictionless hill that slopes upward at 41 above the horizontal. if the stone...