Periodic motion question

[dorjiako]

1. A 20kg block is pushed from the east with a force of 100N, from the west with a force of 20N, and from the south with a force of 150N. In what direction does the bloc travel?
2.A 10kg sled is pulled at an angle of 35 degrees east of north by a force of 150 N directed due east. A friction force of 50N directed due east. What is the acceleration (both magnitude and direction) of the sled.
Help please!

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[TheRealAngeleno]

1. A 20kg block is pushed from the east with a force of 100N, from the west with a force of 20N, and from the south with a force of 150N. In what direction does the bloc travel?
2.A 10kg sled is pulled at an angle of 35 degrees east of north by a force of 150 N directed due east. A friction force of 50N directed due east. What is the acceleration (both magnitude and direction) of the sled.
Help please!

1. Northwest with a force of sqrt of(80^2 + 150^2) = 170N
2. 150cos55 - 50 = ma
150cos55 - 50 / 10 = a
a = 3.6 m/s^2

 

[dorjiako]

Still looking for more input for question 2. the acceleration = 17.3m/s., 68.5 degrees east of north

 

[indianjatt]

I believe 1) is 170N South west since 100N was applied from the east (so in the westward direction; not towards the east). and 20N from west so eastward, which gives a vector sun of 80N westward and then you have 150N southward. The vector sum of the two gives 170N southwest.

For the second one, are you sure the friction force is also in the direction of the 150N of force applied?

 

[costales]

2.A 10kg sled is pulled at an angle of 35 degrees east of north by a force of 150 N directed due east. A friction force of 50N directed due east. What is the acceleration (both magnitude and direction) of the sled.

There is something wrong/missing in the problem statement. If the sled is acted on by two forces both directed due east, then the resulting motion will be due east also. Furthermore, friction always acts against the direction of motion.

 

[dorjiako]

Thanks for your help. I am good now.