4. A force F=3i+4j acts on a 5 kg object initially at rest at the origin. The x

Question

4. A force F=3i+4j 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. apply force   F = ma

so accleration a = F/m

a = 3i + 4j/5

a = 0.6 i    + 0.2 j

in x direction accleration a = 0.6 m/s^2

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apply V = a dt

V = 0.6 it + 0.2 j t

V at t = 4 secs is V = 0.6 * 4 i   + 0.2 j * 4

V at t = 4 secs is 2.4 i   + 0.8 j

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apply distance travelled S = vdt

S = 2.4 * 4 i + 0.8 * 4j

S = 9.6 i   + 3.2 j

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a in Y direction = 0.2 m/s^2
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V in Y direction = 0.8 j m/s
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distance in Y direction = 3.2 m
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