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zmey [24]
3 years ago
13

With what speed must a ball be thrown vertically up in order to rise to a maximum height of 45m? And for how long will it be in

air?
Physics
1 answer:
Leno4ka [110]3 years ago
4 0

1) 29.7 m/s

We can solve the first part of the problem by using the law of conservation of energy. In fact, the initial kinetic energy when the ball is thrown from the ground will be entirely converted into gravitational potential energy as the ball reaches its maximum heigth, so we can write:

\frac{1}{2}mv^2 = mgh

where

m is the mass of the ball

v is the initial speed

g is the acceleration of gravity

h is the maximum height

Re-arranging the equation:

v=\sqrt{2gh}

and substituting:

g = 9.8 m/s^2

h = 45 m

We find

v=\sqrt{2(9.8)(45)}=29.7 m/s

2) 6.0 s

First of all, we can calculate how long the ball takes to reach the maximum height. This can be done by using the equation:

v=u+at

where

v = 0 is the final speed of the ball, when it is at its maximum height

u = 29.7 m/s is the initial speed

a = -g = -9.8 m/s^2 is the acceleration of gravity (negative because it is downward)

t is the time

Solving for t,

t= \frac{v-u}{a}=\frac{0-29.7}{-9.8}=3.0 s

So the ball takes 3.0 s to reach the maximum heigth. The time it takes to fall down again is equal, so also 3.0 s, so the total time of the motion is

t = 3.0 + 3.0 = 6.0 s

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3 years ago
What is the car's average velocity (in m/s) in the interval between t = 1.0 s<br> to t = 1.5 s?
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Answer:

1.4 m/s

Explanation:

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Final time (t2) = 2 secs

Velocity (v) =..?

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Velocity = change of displacement /time

v = Δd / Δt

Thus, with the above formula, we can obtain the velocity of the car as follow:

Initial Displacement (d1) = 0.9 m

Final Displacement (d2) = 1.6 m

Change in displacement (Δd) = d2 – d1 = 1.6 – 0.9

= 0.7 m

Initial time (t1) = 1.5 secs

Final time (t2) = 2 secs

Change in time (Δt) = t2 – t1

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v = 1.4 m/s

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3 years ago
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At the lowest point on the Ferris wheel, there are two forces acting on the child: their weight of 430 N, and an upward centripetal/normal force with magnitude n; then the net force on the child is

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where m is the child's mass and a is their centripetal acceleration. The child has a linear speed of 3.5 m/s at any point along the path of the wheel whose radius is 17 m, so the centripetal acceleration is

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and so

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6 0
2 years ago
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