Question

Part A In each of the two free-body diagrams, the forces are acting on a 1.6 kg object. (Figure 1) (Figure 2) Find the value of ar,the component of the acceleration in diagram (a). Express your answer to two significant figures and include the appropriate units a,-Value Units SubmitP t Answer ous Answe Figure 1 of2> X Incorrect: Try Again: 4 attempts remaining Part B 2.82 N Find the value of ay, the y component of the acceleration in diagram (a) Express your answer to two significant figures and include the appropriate units 1 N 5 N 200 3 N ayValue Units

Answer 1

here,

A)

mass ,m = 1.6 kg

the net force , F = 5 N i + 2.82 j N - 1 N i + 3 N * ( - sin(20) i - cos(20) j)

F = 2.97 i N

the accelration , a = F/m

a = 2.97 /1.6 m/s^2 = 1.86 m/s^2 i

the x-component of the accelration is 1.86 m/s^2

B)

the y-component of the accelration is 0 m/s^2

C)

the net force , F = - 3 N i + 1.414 j N + 2 * ( cos(15)i + sin(15) j) + 2 N * ( sin(15) i - cos(15) j)

F = - 0.55 i N + 0 j N

the accelration , a = F/m

a = 0.55 /1.6 m/s^2 = - 0.34 m/s^2 i

the x-component of the accelration is - 0.34 m/s^2

d)

the y-component of the accelration is 0 m/s^2