4. A force acts on a 5 kg object initially at rest at the origin. The x and y ax

Question

4. A force acts on a 5 kg object initially at rest at the origin. The x and y axis are in a horizontal plane and the object slides along a frictionless surface. A) Find the acceleration of the object in the x direction. B) What is the velocity of the object in the x direction after 4 seconds? C) How far does the object travel in the x direction in 4 seconds? D) Find the acceleration of the object in the y direction. E) What is the velocity of the object in the y direction after 4 seconds? F) How far does the object travel in the y direction in 4 seconds? G) What is the velocity of the object after 4 seconds? Write your answer in component form. H) What is the velocity of the object after 4 seconds? Write your answer in terms of magnitude and direction. I) What is the displacement of the object after 4 seconds? Write your answer in component form. J) What is the displacement of the object after 4 seconds? Write your answer in terms of magnitude and direction.

Explanation / Answer

A) ax = Fx/m = 3/5 = 0.6 m/s^2

B) Vx = vox + ax*t = 0.6*4 = 2.4 m/s

C) x = 0.5*ax*t^2 = 0.5*0.6*4*4 = 4.8 m

D) ay = Fy/m = 4/5 = 0.8 m/s^2

E) Vy = voy + ay*t = 0.8*4 = 3.2 m/s

F) y = 0.5*ay*t^2 = 0.5*0.8*4*4 = 6.4 m

F) V = 2.4i + 3.2 j

H) V = sqrt(Vx^2+vy^2) = 4 m/s       direction = tan^-1(vy/vx) = 53.13

I) s= 4.8i + 6.4 j     direction = 53.13

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