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timurjin [86]
3 years ago
6

A spring has natural length 16 cm. A force of 3 N is required to holdthe spring compressed compressed to 11 cm. Find the amount

ofwork instretching the spring from 17 cm to 19 cm.
Physics
1 answer:
alexgriva [62]3 years ago
8 0

Answer:

W = 0.012 J

Explanation:

For this exercise let's use Hooke's law to find the spring constant

         F = K Δx

         K = F / Δx

         K = 3 / (0.16 - 0.11)

         K = 60 N / m

Work is defined by

         W = F. x = F x cos θ

in this case the force and the displacement go in the same direction therefore the angle is zero and the cosine is equal to 1

         W = ∫ F dx        

         W = k ∫ x dx

we integrate

         W = k x² / 2

          W = ½ k x²

let's calculate

         W = ½ 60 (0.19 -0.17)²

         W = 0.012 J

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A basketball has a mass of 601 g. Moving to the right and heading downward at an angle of 29 degree to the vertical, it hits the
olga55 [171]

Answer:

Change in momentum, \Delta p=6.3\ kg-m/s

Explanation:

It is given that,

Mass of the basketball, m = 601 g = 0.601 kg

The basketball makes an angle of 29 degrees to the vertical, it hits the floor with a speed, v = 6 m/s

It bounces up with the same speed, again moving to the right at an angle of 29 degree to the vertical. We need to find the change in momentum. It is given by :

\Delta p=mv\ cos\theta-(-mv\ cos\theta)

\Delta p=2mv\ cos\theta

\Delta p=2\times 0.601\times 6\times \ cos(29)

\Delta p=6.3\ kg-m/s

So, the change in momentum of the basketball is 6.3 kg-m/s. Hence, this is the required solution.

6 0
3 years ago
What is the tangential speed of a point on a wheel of a car if the point is located 0.114 m from the axis of rotation; and the w
Svetach [21]

Answer:

Tangential speed = R * w  where w is the angular speed

For a wheel   v = .114 m * 6.53 / sec = .744 m/s

Note that this is the tangential speed - If the wheel were moving at speed V then as viewed from the ground you have

top V + v

bottom   V - v

That is the wheel also has speed due to the speed of the axle (axis of rotation)

3 0
3 years ago
You are going to speak to a group of your peers on the dangers of drinking and driving. As you prepare your talk, you need to co
enyata [817]
Teens drink mostly because the people/media around them tell them its "cool" and to be liked you have to drink, or "why miss out on the fun?" "Are you scared?" They are pressured into the idea that if they want to be cool or liked, they need to drink.
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Hope this helps!
3 0
3 years ago
A car of mass 2400kg moving at 20 m/s slams into a cement wall and comes to a halt?
Brut [27]

Impulse = change in momentum

The car's momentum was (mass) x (speed)

Momentum = (2400 kg) x (20 m/s)

Momentum = 48,000 km-m/s

To completely stop the car, the impulse = -48,000 km-m/s .

7 0
3 years ago
Determine the amount of potential energy of a 5N book that is 1.5m high on a shelf.
Alex73 [517]

Answer:

Potential energy of book = 7.5 J

Explanation:

Given:

Weight of book = 5 N

Height of shelf = 1.5 meter

Find:

Potential energy of book

Computation:

Weight = Mass x Acceleration of gravity

Mass x Acceleration of gravity = 5 N

Potential energy = Mass x Acceleration of gravity x Height

Potential energy of book = Mass x Acceleration of gravity x Height

We know that;

Mass x Acceleration of gravity = 5 N

So,

Potential energy of book = 5 x 1.5

Potential energy of book = 7.5 J

3 0
2 years ago
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