step by step please A 60 kg box is initially at rest on a level floor. The coeff

Question

step by step please

A 60 kg box is initially at rest on a level floor. The coefficient of kinetic fiction between the floor and the box is 0.2. A person pushes on the box toward the right with a force of 160 N the box reaches a speed of 4 m/s. Draw a motion diagram and a force diagram for the box. How many seconds does it take person to reach the speed of 4 m/s? Once the box a speed of 4 m/s, the force of the push to 30 N, still to the right, until box comes to stop. How much further does the box travel after the reduced 30 N? A ball is thrown upward from the ground Mars and returns to the ground. The total trip up and down takes 12 seconds. The acceleration of gravity on the planet Mars is 4 m/sec^2. What was the initial velocity of the ball? What height did the hall reach? Write the equation of motion for the hall assuming the ground is y = 0 and the upward is the positive direction. y(t) =

Explanation / Answer

8.

a)

Vi = initial velocity = ?

a = acceleration due to gravity at mars = - 4 m/s2

Y = displacement as ball goes up and comes back down = 0

t = time of travel = 12 sec

using the equation

Y = Vi t + (0.5) a t2

0 = Vi (12) + (0.5) (-4) (12)2

Vi = 24 m/s

b)

Ymax = height reached

Vf = velocity at the highest point = 0 m/s

using the equation

Vf2 = Vi2 + 2 a Ymax

02 = 242 + 2 (-4) Ymax

Ymax = 72 m

c)

Y(t) = Yo + Vi t + (0.5) a t2

Y(t) = 0 + 24 t + (0.5) (-4) t2

Y(t) = 0 + 24 t - 2 t2

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