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stira [4]
3 years ago
6

A 110 kg ice hockey player skates at 3.0 m/s toward a railing at the edge of the ice and then stops himself by grasping the rail

ing with his outstretched arms. During the stopping process, his center of mass moves 30 cm toward the railing. (a) What is the change in the kinetic energy of his center of mass during this process
Physics
1 answer:
velikii [3]3 years ago
7 0

Answer:

Δ KE = -495 J

Explanation:

given,

mass of the ice hockey player = 110 Kg

initial speed = 3 m/s

final speed  = 0 m/s

distance, d = 0.3 m

change in kinetic energy

\Delta K E = \dfrac{1}{2}mv_f^2 - \dfrac{1}{2}mv_i^2

\Delta K E = \dfrac{1}{2}mv(0)^2 - \dfrac{1}{2}\times 110\times 3^2

    Δ KE = -495 J

Hence, the change in kinetic energy is equal to Δ KE = -495 J

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As a consultant to the soft-drink industry, Dr. J is given the task of conducting the ultimate Pepsi taste test. This is Dr. J's
dem82 [27]

Answer:

A) How much work does the Pepsi do on the bullet = 0.0625J

B) At what velocity does the Pepsi hit the floor = 7.67m/s

Explanation:

  • Given mass of bullet = 5g
  • initial velocity = 500 m/sec
  • final velocity = 5 m/sec

From work done = Force X Distance

  • WD = Mad
  • a = v - u /t

Workdone ; m(v - u )/t

A) The work done by the Pepsi is equal to the change in kinetic energy while in the Pepsi:

  • but The work done by the container wall on the bullet is equal to the change in kinetic energy on either side of the wall: W = change in kinetic energy = 1/2 mv²

= 1/2 X 0.005 x 500² - 1/2 X 0.055 x 5²

= 624.94J

  • Therefore ; The work done by the Pepsi is equal to the change in kinetic energy while in the Pepsi = W = change in KE = 0.0625 - 0 = 0.0625J

B) At what velocity does the Pepsi hit the floor?

  • From conservation of energy principle; PE = KE
  • mgh = 1/2mv²
  • 0.98 X 3 = 1/2v²
  • velocity = 7.67m/s

3 0
3 years ago
If you place 48 cm object 15 m in front of a convex mirror of focal length 5 m, what is the magnification of the image?
Arisa [49]

Answer:

m = 0.25

Explanation:

Given that,

Object distance, u = -15cm

Height of the object, h = 48

Focal length, f = cm

We need to find the magnification of the image.

Let v is the image distance. Using mirror's equation.

\dfrac{1}{v}+\dfrac{1}{u}=\dfrac{1}{f}\\\\\dfrac{1}{v}=\dfrac{1}{f}-\dfrac{1}{u}\\\\=\dfrac{1}{5}-\dfrac{1}{(-15)}\\\\=3.75\ cm

Magnification,

m=\dfrac{-v}{u}\\\\=\dfrac{-3.75}{-15}\\\\=0.25

Hence, the magnification of the image is 0.25.

7 0
3 years ago
The motivation for Isaac Newton to discover his laws of motion was to explain the properties of planetary orbits that were obser
ELEN [110]

Answer:

a)  v² = G M R³,  b)  T = 2π /\sqrt{GMR}, c)  m \sqrt{GMR^5 }

Explanation:

a) The kinetic energy is

         K = ½ m v²

       

to find the velocity let's use Newton's second law

          F = m a

acceleration is centripetal

           a = v² / R

           

force is the universal force of attraction

           F = G m M / r²

we substitute

          G m M R² = m v² R

          v² = G M R³

           

the kinetic energy is

          K = ½ m G M R³

b) angular and linear velocity are related

          v = w R

          w = v / R

          w = \frac{\sqrt{GMR^3  }}{R}

          w = \sqrt{GMR}

the angular velocity is related to the period

          w = 2π / T

          T = 2π / w

we substitute

           T = 2π /\sqrt{GMR}

c) the angular moeomto is

            L = m v r

            L = m RA G M R³ R

            L =  m \sqrt{GMR^5 }

4 0
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In a game of darts, the dart thrower releases the dart directly at the center of the target (the "bull’s eye") with a speed of 1
Nuetrik [128]

Answer:2.81 m

Explanation:

Given

speed(u)=13 m/s

dart strikes 0.23 m below

i.e. vertical distance traveled by dart is 0.23 m

considering dart motion similar to Projectile

h=ut+\frac{at^2}{2}

0.23=0+\frac{9.8t^2}{2}

t=0.216 s

Horizontal distance travel by dart =u\times t

=13\times 0.216=2.81 m

7 0
3 years ago
Assume that the force of gravitational attraction between two objects is 6 units.
pentagon [3]

Answer:

dk

Explanation:

8 0
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