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Ymorist [56]
3 years ago
15

A bowling ball rolls off the edge of a cliff, moving horizontally at 20 m/s. I have to plot the position of the bowling ball on

an x y axis for every one second. X is horizontal distance and Y is vertical distance on the graph. We are using 10 m/s squared for gravity instead of 9.8 m/s squared. 
Physics
1 answer:
liubo4ka [24]3 years ago
8 0
For counting x you use simple equation for the distance covered by the object when it moves with constant velocity:
s=v*t
that gives you 20m after 1st second, 40 m after 2nd second, 60 m after 3rd second and so on.

For counting y you have to use the equation for the distanced covered by the object moving with constantly accelerating velocity (symbols refering to vertical movement):
h=g\frac{t^{2}}{2}
that gives you 5m after 1st second, 20m afters 2nd second, 45m after 3rd second and so on.
Add minus signs before y positions to receive graph presenting the movement of the ball.
So the points are: P1=[20,-5], P2=[40,-20], P3=[60,-45] and so on... Pn=[x,y].
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An object is taken from an oven at 350o F and left to cool in a room at 70o F. If the temperature fell to 250o F in one hour, wh
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Answer:

117.83° F

Explanation:

Using Newton's Law of Cooling which can be expressed as:

\dfrac{dT}{dt}= k(T-T_1)

The differential equation can be computed as:

\dfrac{dT}{dt}= k(T-70)

\dfrac{dT}{(T-70)}= kdt

\int \dfrac{dT}{(T-70)}= \int kdt

In|T-70| = kt +C

T- 70 = e^{kt+C} \\ \\ T = 70+e^{kt+C} \\ \\ T = 70 + C_1e^{kt}  --- (1)

where;

C_1 = e^C

At the initial condition, T(0)= 350

350 = 70 C_1^{k*0}

350 -70 = C_1

280 = C_1

replacing C_1= 280 into (1)

Hence, the differential equation becomes:

T(t) = 70 + 280 e^{kt}

when;

time (t) = 1 hour

T(1) = 250

Since;

250 = 70 + 280 e^{k*1}

180 = 280e^k \\ \\ \dfrac{180}{280}= e^k

k = In (\dfrac{180}{280})

k = -0.4418

Therefore;

T(t) = 70 + 280e^{(-0.4418)}t

After 4 hours, the temperature is:

T(t) = 70 + 280e^{(-0.4418)}4

T(4) = 117.83° F

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What can happen to the motion of an object when there is a resultant force on it
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Then, it would continue the motion in direction of resultant force...
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2) A car going down the road has a velocity of 20 m/s. If the car continues at this
Artemon [7]

Answer: 140

Explanation: just multiply 7 x 20

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3 years ago
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A basketball rolls without slipping (starting from rest) down a ramp. If the ramp is sloped by an angle of 4 degrees above the h
slavikrds [6]

Answer:

11.7 m/s

Explanation:

To find its speed, we first find the acceleration of the center of mass of a rolling object is given by

a = gsinθ/(1 + I/MR²) where θ = angle of slope = 4, I = moment of inertia of basketball = 2/3MR²

a = 9.8 m/s²sin4(1 + 2/3MR²/MR²)

  = 9.8 m/s²sin4(1 + 2/3)

  = 9.8 m/s²sin4 × (5/3)

  = 1.14 m/s²

To find its speed v after rolling for 60 m, we use

v² = u² + 2as where u = initial speed = 0 (since it starts from rest), s = 60 m

v = √(u² + 2as) = √(0² + 2 × 1.14 m/s × 60 m) = √136.8 = 11.7 m/s

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