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Mashutka [201]
3 years ago
8

Two forces act on a 55-kg object. One force has magnitude 65 N directed 59° clockwise from the positive x-axis, and the other ha

s a magnitude 35 N at 32° clockwise from the positive y-axis. What is the magnitude of this objectʹs acceleration? A) 1.1 m/s2 B) 1.3 m/s2 C) 1.5 m/s2
Physics
1 answer:
Gwar [14]3 years ago
6 0

Answer:

A) 1.1 m/s/s

Explanation:

There exist two forces on the object such that

F_1 = 65 N directed 59° clockwise from the positive x-axis

F_2 = 35 N at 32° clockwise from the positive y-axis

now we have

F_1 = 65 cos59\hat i - 65 sin59 \hat j

F_2 = 35 sin32\hat i + 35 cos32 \hat j

now the net force on the object is given as

F_{net} = F_1 + F_2

F_{net} = (65 cos59 + 35 sin32)\hat i + (35cos32 - 65 sin59)\hat j

F_{net} = 52\hat i - 26 \hat j

so it's magnitude is given as

F_{net} = \sqrt{52^2 + 26^2} = 58.15 N

now from Newton's II law we have

F = ma

a = \frac{58.15}{55} = 1.1 m/s^2

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