Find the magnitude of the force needed to accelerate a 220 g mass with a⃗ = - 0.205 m/s2 i^+0.400 m/s2 j^.

Question

Physics

Hayden Kramer

15 January, 07:53

Find the magnitude of the force needed to accelerate a 220 g mass with a⃗ = - 0.205 m/s2 i^+0.400 m/s2 j^.

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Answers (1)

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Rylie Yoder · Answer 1

As, Fr = m. a

With mass in kg

We have:

m = 220g

m = 0,22kg

We have too:

a = - 0,205m/s^2 i + 0,400m/s^2 j

Remembering that "a" is in vector

a = axi + ayj

a = √ (ax^2 + ay^2)

a = √ ((-0,205) ^2 + (0,400) ^2)

a = √ (0,202025)

a ~ 0,449 m/s^2

Then,

Fr = m. a

Fr = 0,22. 0,449

Fr ~ 0,09888 N

Fr ~ 9,88. 10^ (-2) N