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julsineya [31]
3 years ago
14

You are given a box of 100 silver dollars, all facing heads up. You are instructed to shake the box 6 times; after each shake, y

ou will remove all the dollars that are heads up before shaking again. You may keep all the dollars that are still tails up following the second shake. How many dollars will you most likely get to keep?
Physics
2 answers:
densk [106]3 years ago
7 0

50+25+12.5+6.25+ and on to 6 terms...

mihalych1998 [28]3 years ago
3 0

Answer:

2 dollars ( approx )

Explanation:

Given,

Initial numbers of dollars = 100,

In each shake the number of removed dollars ( in which head appeared ) = 1,

We have to find the number of dollars after 6 shakes,

Also, the coins in which tail appear will be remained.

∵ Probability of getting tail in each trial = \frac{1}{2}

Thus, the total probability of getting tail in 6 trials = (\frac{1}{2})^6

Hence, the number of dollars remained = initial number × probability of tail in 6 trials

=100\times (\frac{1}{2})^6

=\frac{100}{64}

=1.5625

\approx 2

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To solve this problem it is necessary to apply the concepts related to Newton's second Law and the force of friction. According to Newton, the Force is defined as

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Where,

m= Mass

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At the same time the frictional force can be defined as,

F_f = \mu N

Where,

\mu = Frictional coefficient

N = Normal force (mass*gravity)

Our values are given as,

m_h = 242 kg\\m_c = 224 kg\\\mu = 0.894\\

By condition of Balance the friction force must be equal to the total net force, that is to say

F_{net} = F_f

m_{total}a = \mu m_hg

(m_h+m_c)a = \mu*m_h*g

Re-arrange to find acceleration,

a= \frac{\mu*m_h*g}{(m_h+m_c)}

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3 years ago
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Answer is in this file
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Paco pulls a 67 kg crate with 738 N and of force across a frictionless floor 9.0 M how much work does he do in moving the crate
olga_2 [115]

Answer:

W = 6642 J

Explanation:

Given that,

Mass of a crate, m = 67 kg

Force with which the crate is pulled, F = 738 N

It is moved 9 m across a frictionless floor

We need to find the work done in moving the crate. Let the work done is W. It is given by :

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So, the work done is 6642 J.

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2 years ago
C4. A 50.0 kg boy runs at 10.0 m/s, jumps on a cart and rolls off at 2.50 m/s. What is the mass of the cart
Hunter-Best [27]

Answer:

The mass of the cart is 150 kg.

Explanation:

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Mass of a boy, m₁ = 50 kg

Initial speed of boy, u₁ = 10 m/s

Initial speed of car, u₂ = 0 (at rest)

The speed of the cart with the boy on it is 2.50 m/s, V = 2.5 m/s

Let m₂ is the mass of the cart. Using the conservation of momentum as follows :

m_1u_1+m_2u_2=(m_1+m_2)V\\\\50(10)+m_2(0)=(50+m_2)(2.5)\\\\500=125+2.5m_2\\\\375=2.5m_2\\\\m_2=150\ kg

So, the mass of the cart is 150 kg.

3 0
2 years ago
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