Question

Stephen and Timothy pull horizontally on a box such that Timothy pushes twice as hard as Stephen. Stephen pushes at an angle of 30.0o east of north, and the resultant of these two pushes is 330.0 N directly eastward. Determine the direction of the push by Timothy.

A. 43.3o

B. 284.7o






C. 334.3o


D. 144.8o
E. 303.6o
​

Answer 1

Answer:b

Explanation:

A method

Answer 2

The answer is option (D) 144.8°

GIVEN

Timothy pushes twice as hard as Stephen. Stephen pushes at an angle of 30N east of north, and the resultant of these two pushes is 33 N directly eastward.

TO FIND

Direction of push by Timothy.

SOLUTION

The above problem can be simply solved as follows;

Push by F₁ = 30N East of North

Resultant force F = 33N East

It is known that,

F² = ((F₁)² - (F₂)²)

33² = 30² - F₂²

1089 - 900 = F₂²

189 = F₂²

F₂ = 13.4 N

Hence, The answer is option (D) 144.8°

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