for number 2, if the student in the previous question (pushing a box on a fricti

Question

for number 2, if the student in the previous question (pushing a box on a frictionless surface at 15 N for 10 meters) hadn't pushed the box horizontally, but rather, at an angle of 54 degrees relative to the frictionless surface, what would have been the box's speed when it is released?

Synthesis Questions O 1 A student pushes a box initially at rest, horizontally along a frictionless surface for 10.0 m and then releases the bos to continue sliding. It the student pushes with a constant 15 N force, what is the box's sneed when it is released? Box is released at 10 m 10 m 0 m Box is pushed for 10 m O 2. Ithe student from the previous question hadn't pushed the bos horizontally, but rather, at an angle of S4° relative to the frictionless surface, what would have been the bo's speed when it was released? Box is released at 10 m 54 10 m 5 m Box is pushed for 10 m

Explanation / Answer

2)

Here the effective forece(i.e. in the direction of motion) is:

Fe = F cos 54 = 15 cos 54 = 8.82 N

Rest of the approach is same as (1)

Fe = ma

a = Fe/m = 8.82/1.02 = 8.64 m/s2

So,

v = sqrt(2aS) = sqrt(2 x 8.64 x 10) = 13.15 m/s (ans)

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