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Kipish [7]
4 years ago
14

A skier of mass 70 kg is pulled up a slope by a motor-driven cable. The acceleration of gravity is 9.8 m/s 2 . How much work is

required to pull him 62.5 m up a 38.4 ◦ slope (assumed to be frictionless) at a constant speed of 3.77 m/s.
Physics
1 answer:
mote1985 [20]4 years ago
4 0

Answer:26.65 kJ

Explanation:

Given

mass of skier=70 kg

length of ramp=62.5 m

slope=38.4 ^{\circ}

speed=3.77 m/s

so net force on skier must be zero

Net work done will be change in Potential energy of skier

Potential Energy=mg(\Delta H)

\Delta H=62.5sin38.4=38.821 m

P.E.=70\times 9.81\times 38.82=26,658.88 J

P.E.=26.65 kJ

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body starting from rest and moving with an uniform acceleration of 3 m/s²..What is its velocity after 15s?​
Luba_88 [7]
<h2>Answer :</h2>

□ The Final velocity of body = 45 m/s\sf{ }

<h2>Given :</h2>

Initial velocity of body = 0 m/s

Acceleration of body = 3 m/s²

Time taken by body = 15 sec

<h2>To Calculate :</h2>

Final velocity of body = ?

<h2>How To Calculate ?</h2>

<h3>❒ </h3>

Here in this question we are provided that a body is in rest so it's initial velocity will be 0 m/s (because from rest), Acceleration of body is 3 m/s², and Time taken is also given which is 15 sec.

<h3>❒</h3>

 To calculate the Final velocity of body we'll use the first equation of motion which says v = u + at

Where,

  • v is the Final velocity in m/s.

  • u is the Initial velocity in m/s.

  • a is the Acceleration in m/s².

  • t is the Time taken in second.

<h2>Calculation :</h2>

From first equation of motion

  • ⇒ v = u + at

  • ⇒ v = 0 + 3 × 15

  • ⇒ v = 0 + 45

  • ⇒ v = 45

Hence, the Final velocity of body is 45 m/s.

7 0
3 years ago
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A completely submerged object always displaces its own
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Mass value/Weight. This is expalined in archamedies principle

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4 years ago
Which fact about the moon, as seen from the earth, is evidence that the amount of time the Moon takes to complete one rotation a
Cerrena [4.2K]
Choice ' c ' is the evidence.
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3 years ago
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A runner starts from rest and in 3 s reaches a speed of 8 m/s. If we assume that the speed changed at a constant rate (constant
Stells [14]

Answer:

The average speed of the runner is 4 m/s.

Explanation:

Hi there!

The average speed (a.s) is calculated by dividing the traveled distance (d) over the time needed to travel that distance (t):

a.s = d / t

So, let´s find the distance traveled in those 3 s. For that, we can use the equation of position of an object moving in a straight line with constant acceleration:

x = x0 + v0 · t + 1/2 · a · t²

Where:

x = position of the object at time t.

x0 = initial position.

v0 = initial velocity.

t = time.

a = acceleration.

If we place the origin of the frame of reference at the point where the runner starts, then, x0 = 0. Since the runner starts from rest, v0 = 0. So, the equation gets reduced to this:

x = 1/2 · a · t²

We have the time (3 s), so let´s find the acceleration. For that, we can use the equation of velocity of an object moving in a straight line with constant acceleration:

v = v0 + a · t

Where "v" is the velocity at a time "t". Since v0 = 0, then:

v = a · t

At t = 3 s, v = 8 m/s

8 m/s = a · 3 s

8/3 m/s² = a

So let´s find the position of the runner at t = 3 s (In this case, the position of the runner will be equal to the traveled distance):

x = 1/2 · a · t²

x = 1/2 · 8/3 m/s² · (3 s)²

x = 12 m

Now, we can calcualte the average speed:

a.s = d/t

a.s = 12 m / 3 s

a.s = 4 m/s

The average speed of the runner is 4 m/s.

4 0
3 years ago
Maureen is training for a backpacking trip. Which of the following training plans follows the FITT
lawyer [7]

Answer:

The answer is "Walk three days a week, gradually adding distance and hills."

Explanation:

The FITT Principle <u>guides a person in becoming a fitter version of himself by following a particular frequency, intensity, time and type of exercise in order to achieve his goals.</u>

<u>Frequency</u>- this refers to how often a person should do an exercise. For example, 5 times a week of intense core workout.

<u>Intensity</u>- this refers to the person's vigour or strength in doing the workout. This depends whether the person is doing a high-intensity or a low-intensity exercise.

<u>Time</u>- this refers to the length of a person's exercise. This will largely depend on every individual's fitness level.

<u>Type of Exercise</u>- this refers to the exercise that a person should incorporate in his training<u> in order to avoid injuries of using the same muscles over and over again.</u>

Among the choices above, it is only the second choice (Walk three days a week, gradually adding distance and hills) that follows the FITT principle. Walking shouldn't be kept at the same pace and distance for many weeks, since it results to<em> boredom and overuse injuries. </em>This will also lead to a plateau when it comes to people who are trying to lose weight because the body has already well-adjusted to the exercise and cannot be challenged anymore.

<em>Gradually increasing the distance and hills will allow the person to be more challenged </em>and<em> </em>will also increase his desire to workout (because he is seeing results).

6 0
3 years ago
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