1. an object is thrown from the ground with an initial speed of 25 m/s at an ang

Question

1. an object is thrown from the ground with an initial speed of 25 m/s at an angle of 30 deg above the horizontal.
a. what is the velocity ( both x and y components ) of the object 2 secs later? at this time , is it ascending or descending?
b. what is the location of the object at this time (find x and y)?

2. a block of mass 2kg, attached to a spring of stiffness k=300 N/m is lying on a horizontal desk. initially, the spring is suppressed by A=10 cm. when it is released, the block pushed by the spring passes through the equilibrium position and extends the spring by 5cm.
a. what is the friction coefficient between the block and the desk?

Explanation / Answer

vo=25 m/s==>=30o==>vox=vo*cos()=21.651 m/s==>voy=vo*sin()=12.5 m/s

a) vox=vx=21.7 m/s during the entire flight because there is no ax

voy=vo*sin()=12.5 m/s==>y=voy*t-1/2*g*t2=12.5*2-1/2*9.8*22=5.4 m, ascending

b) x=vx*t=21.7*2=43.4 m==>y=5.4 m

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