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MAXImum [283]
3 years ago
7

A cyclist is riding his bike up a mountain trail. When he starts up the trail, he is going 8 m/s. As the trail gets steeper, he

slows to 3 m/s in 1 minute. What is the cyclist’s acceleration?
Physics
1 answer:
frez [133]3 years ago
8 0

Answer:

\boxed {\boxed {\sf a\approx -0.08 \ m/s^2}}

Explanation:

Acceleration can be found by dividing the change in velocity by the time.

a=\frac{v_f-v_i}{t}

The final velocity is 3 meters per second. The initial velocity is 8 meters per second.

We need to convert the time to seconds.

  • t= 1 minute
  • 60 seconds = 1 minute
  • t=60 seconds

So, we know that:

v_f=3 \ m/s \\v_i= 8 \ m/s\\t= 60 \ s

Substitute the values into the formula.

a=\frac{3 \ m/s - 8 \ m/s}{60 \ s}

Solve the numerator.

  • 3 m/s - 8 m/s = -5 m/s

a=\frac{-5 \ m/s}{60 \ s}

Divide.

a=-0.0833333333 \ m/s/s

Let's round to the nearest hundredth.

The 3 in the thousandth place tells us to leave the 8 in the hundredth place.

a\approx -0.08 \ m/s^2

The cyclist's acceleration is about \boxed {-0.08 m/s^2}

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Answer:

The coefficient of kinetic friction between the puck and the ice is 0.11

Explanation:

Given;

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v² = u² + 2as

0 = (9.3)² + (2x42)a

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a = -86.49/84

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μk = a/g

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μk = 0.11

Therefore, the coefficient of kinetic friction between the puck and the ice is 0.11

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3 years ago
A swimmer, capable of swimming at a speed of 1.0 m/s in still water (i.e., the swimmer can swim with a speed of 1.0 m/s relative
Vesnalui [34]
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A horizontal uniform bar of mass 2.7 kg and length 3.0 m is hung horizontally on two vertical strings. String 1 is attached to t
Jlenok [28]

Answer:

14.36 N

Explanation:

T_{1} = Tension in string 1

T_{2} = Tension in string 2

m_b = mass of the bar = 2.7 kg

W_b = weight of the bar

weight of the bar is given as

W_b = m_{b} g = (2.7) (9.8) = 26.46N

m_m = mass of the bar = 1.35 kg

W_m = weight of the monkey

weight of the monkey is given as

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Using equilibrium of torque about left end

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Using equilibrium of force in vertical direction

T_{1} + T_{2} = W_{b} + W_{m}\\T_{1} + 25.33 = 26.46 + 13.23\\T_{1} = 14.36 N

7 0
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