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zmey [24]
4 years ago
7

Arnold Schwarzenegger is moving out of his California mansion. He pushes a box of books on the floor with a force of 50 N to the

right. The friction force on the floor opposes his push with a force of 30 N. (N=Newtons)
A. Draw in the forces. Use the scale 1 cm = 10 N of force
B. Are the forces unbalanced?
C. Will the box accelerate? If so, in which direction
Physics
1 answer:
sleet_krkn [62]4 years ago
3 0
A.draw in the forces .Use the scale 1cm =10n of force 
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a)   v = 4.64 m / s , b)    t = 0.947 s , c)    t = 0.947 s

Explanation:

We will work on this exercise with vertical launch kinematics, let's start by calculating the height of the jumper in the SI system

         y₀ = 5 ’(0.3048 m / 1’) + 7 ”(2.54 10-2 m / 1”) = 1.70 m

The distance they give is the height of the jump

          y = 1.10 m

Let's use energy conservation

Starting point.  On the floor

          Em₀ = K = ½ m v²

Final point. Maximum height

           Em_{f} = U = m g y

           Em₀ = Em_{f}

           ½ m v² = m g y

           v = √2gy

         

Let's calculate

          v = √(2 9.8 1.10)

          v = 4.64 m / s

b) Air time is the time to go up plus the time to go down, which is the same

For maximum height the speed is zero

          v = v₀ - g t₁

          t₁ = v₀ / g

          t₁ = 4.64 /9.8

          t₁ = 0.4735 s

The total time is

           t = 2 t₁

           t = 2 0.4735

           t = 0.947 s

c) if it takes a distance of 0.40 to reach speed, what is the acceleration, as it stands on the floor its initial speed is zero

          v² = v₀² + 2 a x

         a = v² / 2x

         a = 4.64²/2 0.40

         a = 26.9 m / s²

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