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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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If the wind or current is pushing your boat away from the dock as you prepare to dock, which line should you secure first?
Akimi4 [234]

Answer:

Bow Line

Explanation:

If the wind or current is pushing your boat away from the dock, bow line should be secured first.

1- We should cast off the bow and stern lines.

2-With the help of an oar or boat hook, keep the boat clear of the dock.

3-Leave the boat on its own for sometime and let the wind or current carry the boat away from the dock.

4 - As you see there is sufficient clearance, shift into forward gear and slowly leave the area.

7 0
3 years ago
A boy weighs 400N. what is his mass?
Basile [38]

≈40.8kg


this is to take up space


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400

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9.8

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40.8

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m

=

W

g


=

400

N

9.8

m/s

2


≈

40.8

kg

m

=

W

g


=

400

N

9.8

m/s

2


≈

40.8

kg

m

=

W

g


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400

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9.8

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2


≈

40.8

kg

m

=

W

g


=

400

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9.8

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9.8

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4 0
3 years ago
Read 2 more answers
You observe a hockey puck of mass 0.12 kg, traveling across the ice at speed 18.3 m/sec. The interaction of the puck and the ice
Galina-37 [17]

The stopping distance is 143.1 m

Explanation:

First of all, we have to find the acceleration of the hockey puck. This can be done by using Newton's second law of motion:

\sum F =ma

where

\sum F = F_f = -0.14 N is the net force acting on the puck (the force of friction, negative because it acts in a direction opposite to the direction of motion)

m = 0.12 kg is the mass of the puck

a is the acceleration

Solving for a,

a=\frac{\sum F}{m}=\frac{-0.14}{0.12}=-1.17 m/s^2

The motion of the puck is a uniformly accelerated motion, therefore we can use the following suvat equation:

v^2-u^2=2as

where:

v = 0 is the final velocity (the puck comes to a stop)

u = 18.3 m/s is the initial velocity

a=-1.17 m/s^2 is the acceleration

s is the stopping distance

And solving for s, we find

s=\frac{v^2-u^2}{2a}=\frac{0-(18.3)^2}{2(-1.17)}=143.1 m

Learn more about accelerated motion:

brainly.com/question/9527152

brainly.com/question/11181826

brainly.com/question/2506873

brainly.com/question/2562700

#LearnwithBrainly

6 0
3 years ago
Plz help me. I need urgent Why a magnetic compass is used to determine direction? Why a nail gets magnetized when kept close to
docker41 [41]

Answer:

Compasses are mainly used in navigation to find direction on the earth. This works because the Earth itself has a magnetic field which is similar to that of a bar magnet. The compass needle aligns with the Earth's magnetic field direction and points north-south. Also, In a magnet all the domains are oriented in the same direction. In the case of a nail, the domains can be aligned in the same direction causing the nail to become magnetic. That is because if you hang a bar magnet from a thread, the north pole will point to magnetic north. When you bring one north pole close to another north pole they repel each other. You can feel the two magnets pushing each other apart.

4 0
3 years ago
Water has a high heat capacity. What does this term mean? a) Water is relatively resistant to an increase in temperature. b) Wat
Delicious77 [7]

Answer:a) Water is relatively resistant to an increase in temperature

Explanation:

Water has relatively high heat capacity i.e. it requires high amount of heat to raise a little increase in temperature.

Heat capacity is defined as ability of molecule to absorb heat . Mathematically heat capacity is defined as

C=\frac{Q}{\Delta T}

where C=heat\ capacity

Q=heat\ interaction

\Delta T=change\ in\ Temperature

4 0
3 years ago
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