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Pie
3 years ago
15

Assuming the ball's initial velocity was 57° above the horizontal and ignoring air resistance, what did the initial speed of the

ball need to be to produce such a home run if the ball was hit at a point 0.9 m (3.0 ft) above ground level?
Assume that the ground was perfectly flat. Express your answer using two significant figures. v₀ = ______ m/s
How far would the ball be above a fence 3.0 m (10 ft) high if the fence was 116 m (380 ft) from home plate? Express your answer using two significant figures. h = _______ m

Physics
1 answer:
UNO [17]3 years ago
7 0

Answer:

V0 = 44.97m/s

Height above fence = 66.67m

Explanation:

The detailed calculation is done as shown in the attachment

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3 years ago
Three rocks with masses of 1 kg, 5 kg, and 10 kg fall from the same height.
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Answer:
The 10 kg rock has more inertia than the other two rocks.


Explanation
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2 years ago
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After polishing his 2-kg wrestling trophy, Mike sets it down on the ground and walks away to find more polish. Meanwhile, Julie
klio [65]

1) The initial momentum of the trophy is zero

2) The initial momentum of the bowling ball is 160 kg m/s

3) The total momentum before the collision is 160 kg m/s

4) The total momentum of the system after the collision is 160 kg m/s

5) The final velocity of the trophy is 32 m/s

Explanation:

1)

The momentum of an object is given by

p=mv

where

m is the mass of the object

v is its velocity

In this problem, the data for the trophy before the collision are:

m = 2 kg is the mass

v = 0 is its initial velocity

Therefore, the initial momentum of the trophy is

p_1=(2)(0)=0

2)

Using the same equation used in part 1), the initial momentum of the bowling ball is

p=mv

where

m is the mass of the bowling ball

v is its initial velocity

The data of the problem are

m = 8 kg is the mass

v = 20 m/s is the velocity

Substituting,

p_2=(8)(20)=160 kg m/s

3)

The total momentum of the system before the collision is given by the sum between the initial momentum of the trophy and the initial momentum of the bowling ball:

p_i = p_1 + p_2

where

p_1 is the initial momentum of the trophy

p_2 is the initial momentum of the ball

Here we have

p_1 = 0

p_2 = 160 kg m/s

Therefore, the total momentum is

p_i = 0 + 160 = 160 kg m/s

4)

According to the law of conservation of momentum, for an isolated system (=no external unbalanced forces acting on the system), the total momentum of the system is conserved before and after the collision:

p_i = p_f

where

p_i is the total momentum before the collision

p_f is the total momentum after the collision

If we consider the system in the problem to be isolated (i.e. no frictional forces acting on the ball or the trophy), we can therefore say that the total momentum after the collision must be equal to the total momentum before the collision: therefore,

p_f = 160 kg m/s

5)

We can write the total momentum after the collision as

p_f = m_1 v_1 + m_2 v_2

where:

m_1 = 2 kg is the mass of the trophy

v_1 is the final velocity of the trophy

m_2 = 8 kg is the mass of the bowling ball

v_2 = 12 m/s is the final velocity of the ball

Since we also know the value of the final total momentum,

p_f = 160 kg m/s

we can solve the equation to find the velocity of the trophy:

v_1 = \frac{p_f - m_2 v_2 }{m_1}=\frac{160-(8)(12)}{2}=32 m/s

Learn more about momentum:

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4 0
3 years ago
A small 0.14 kg metal ball is tied to a very light (essentially massless) string that is 0.9 m long. The string is attached to t
Vsevolod [243]

Answer:

a) v=2.743m/s

b) a_c = 8.363m/s^2

c) T=2.543N

Explanation:

First, calculate the height of the ball at the starting point:

y' = 0.9cos(55)

y' = 0.516

At this point, just in the moment the ball is released, all the energy of the system is potencial gravitational energy. When it is at the bottom all the potencial energy is transformed into kinetic energy:

E_p=E_k\\mgh=\frac{mv^2}{2}

Solving for v:

v=\sqrt{2gh}

if h is the height loss: (l-y')

v=2.743m/s

The centripetal acceleration is the acceleration caused by the tension force exercised by the string, and is pointing outside of the trayectory path (at the lowest point, directly dawn):

a_c=\frac{v^2}{r}

a_c = 8.363m/s^2

To calculate tension, just make the free body diagram of forces in the ball, noticing the existence of the centripetal acceleration:

\sum{F_y}=ma_c=T-W\\T=ma_c+W\\T=m(a_c+g)\\T=0.14(8.363+9.8)\\T=2.543N

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3 years ago
What does it mean when we say a scientific question must be testable?
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B. Because you can't perform an experiment that is impossible to perform
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3 years ago
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