If the person if slowing down, then this would mean that this would actually be "negative acceleration". Sense this person first did a mile in 10 minutes, and then the next mile that this person did was actually 15 minutes, then this shows you that they actually went a lot slower. And this is why this would be a great example of "negative acceleration".

8 0

3 years ago

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A toboggan and rider have a total mass of 100 kg and travel down along the (smooth) slope defined by the equation y=0.2x2. At th

pickupchik [31]

Answer:

8.31 m/s²

567.32 N

Explanation:

The equation is given as

y = 0.2 x²

taking derivative both side relative to "x"

$\frac{dy}{dx}$ = 0.2 x eq-1

at x = 8 m

$\frac{dy}{dx}$ = 0.2 x 8 = 1.6

m = slope = $\frac{dy}{dx}$ = 1.6

tanθ = 1.6

θ = 58 deg

Taking derivative both side relative to "x"

$\frac{d^{2}y}{dx^{2}}$ = 0.2

Radius of curvature is given as

$r = \frac{(1 + m^{2})^{\frac{3}{2}}}{(\frac{d^{2}y}{dx^{2}})}$

$r = \frac{(1 + 1.6^{2})^{\frac{3}{2}}}{(0.2)}$

$r = 33.6$

rate of increase of speed is given as

$a_{t}$ = g Sinθ

$a_{t}$ = (9.8) Sin58

$a_{t}$ = 8.31 m/s²

centripetal acceleration is given as

$a_{c} = \frac{v^{2}}{r}$

$a_{c} = \frac{4^{2}}{33.6}$

$a_{c} = 0.48$

F = normal force

Force equation is given as

F - mg Cosθ = m $a_{c}$

F - (100) (9.8) Cos58 = (100) (0.48)

F = 567.32 N

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3 years ago

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Describe three agricultural practices that led to increased soil erosion and how they create the problem ?

Roman55 [17]

Answer:

Describe three agricultural practices that led to increased soil erosion and how they create the problem?

Agricultural practices that increase the chances of erosion include Soil tillage, mowing, plowing, grazing e.t.c these exposes the soil and enables water run-off which allows erosion to take place

Explanation:

3 0

3 years ago