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jek_recluse [69]
3 years ago
6

A cart starting from rest rolls down a frictionless 1.0 m high hill. It travels a distance 2.0 m along the rough bottom surface

until it comes to rest. What is the coefficient of kinetic friction along the bottom surface?
a. 4 m/s.
b. 0.5 m/s.
c. 25 m/s.
d. 7 m/s.
e. 6 m/s.
Physics
1 answer:
Rzqust [24]3 years ago
8 0

Answer:

Option B is correct.

Explanation:

Given data

Height of the hill = AB = 1 m

Distance traveled  along the rough bottom surface = AC = 2 m

Now from the ΔABC

\sin \theta = \frac{AB}{AC}

\sin \theta = \frac{1}{2}

\theta = 30 °

We know that  the coefficient of kinetic friction is

\mu = \tan \theta

\mu = \tan 30

\mu = 0.5

This is the value of the coefficient of kinetic friction

Thus option B is correct.

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Suppose that there are N=108 two-state systems, each with energy difference E=6 × 10-21 J between the two states. The environmen
kati45 [8]

Answer:

The value of \dfrac{dU}{dM} is 6\times10^{-29}\ J/unit.

Explanation:

Given that,

Number N=10^{8}

Energy difference = 6\times10^{-21}\ J[/tex]

Temperature T =300 K

We need to calculate the value of \dfrac{dU}{dM}

We know that,

\dfrac{dU}{dM}=\dfrac{energy\ difference}{Change\ in\ number\ of\ system}

\dfrac{dU}{dM}=\dfrac{6\times10^{-21}}{10^{8}}

\dfrac{dU}{dM}=6\times10^{-29}\ J/unit

Hence, The value of \dfrac{dU}{dM} is 6\times10^{-29}\ J/unit.

5 0
4 years ago
A fugitive tries to hop on a freight train traveling at a constant speed of 5.5 m/s. Just as an empty box car passes him, the fu
stiks02 [169]
Th equations to be used here are the following:

a = (v - v₀)/t
x = v₀t + 0.5at²

The speed of the fugitive is the sum of his own speed plus the speed of the train. Thus, 
v₀ = 0 + 5.5 m/s = 5.5 m/s
v = 8 m/s + 5.5 m/s = 13.5 m/s

a.) We use the first equation to determine time
2.5 m/s² = (13.5 m/s - 5.5 m/s)t
Solving for t,
t = 3.2 seconds

b.) We use the answer in a) and the 2nd equation:

x = (5.5 m/s)(3.2 s) + 0.5(2.5 m/s²)(3.2 s)²
x = 30.4 meters
3 0
3 years ago
A horse does 910 J of work in 380 seconds while pulling a wagon. What is the power output of the horse? Round your answer to two
frutty [35]

Answer: 2.4 watts

Explanation:

Work done by horse = 910J

Time = 380 seconds

Power output of the horse = ?

Recall that power is the rate of doing work. Thus, power is workdone divided by time taken.

i.e Power = (work/time)

Power = 910J/380seconds

Power = 2.395 watts (rounded to two significant figures as 2.4 watts)

Thus, the power output of the horse is 2.4 watts

7 0
3 years ago
If the scaled-up man now stands on one leg, what fraction of the tensile strength is the stress on the femur?.
Firdavs [7]

The new cross sectional area and tensile stress is mathematically given as

A=4.8*10^{-4}m^2

X=14:100

<h3>Cross sectional area and stress on the femur</h3>

Question Parameters:

To see why this must be so, recall, that the stress on the femur for a man standing on one leg is 1.4%

we scale this man up by a factor of 10 in all dimensions

that a 70 kg person has a femur with a cross-section area

a)

Generally the New cross sectional area  is mathematically given as

100A=100*4.8*10^{-4}

A=4.8*10^{-4}m^2

b)

From the initial statement we see that  the fraction of the tensile strength is the stress on the femur  and will be

X=\frac{14}{100}

X=14$

X=14:100

For more information on fraction

brainly.com/question/1301963

Complete Question

Larger animals have sturdier bones than smaller animals. A mouse's skeleton is only a few percent of its body weight, compared to 16% for an elephant. To see why this must be so, recall, that the stress on the femur for a man standing on one leg is 1.4% of the bone's tensile strength. Suppose we scale this man up by a factor of 10 in all dimensions, keeping the same body proportions. (Assume that a 70 kg person has a femur with a cross-section area (of the cortical bone) of 4.8 x 10-4m², a typical value.)

Part A

Both the inside and outside diameter of the femur, the region of cortical bone, will increase by a factor of 10. What will be the new cross-section area? Express your answer using two significant figures.

Part B

If the scaled-up man now stands on one leg, what fraction of the tensile strength is the stress on the femur?

8 0
3 years ago
An object is thrown horizontally off a cliff with an initial velocity of 5.0 meters per second. the object strikes the ground 3
shutvik [7]
Speed is not a vector so horizontal speed does not sighify anything. If u meant velocity it vill be same as the initial velocity in horizontal direction
7 0
4 years ago
Read 2 more answers
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