positive of the x axis) of the net force on the particle and (c) what is the ang

Question

positive of the x axis) of the net force on the particle and (c) what is the angle of the particle's direction of travel Two horizontal forces F1 and F2 act on a 4.0 kg disk that slides over frictionless ice, on which an xy coordinate system is laid out. Force F1 is in the positive direction of the X axis and has a magnitude of 7.0 N. Force F2 has a magnitude of 9.0 N. Figure 5-34 gives the x component vx of the velocity of the disk as a function of time t during the sliding. What is the angle between the constant directions of forces F1 and F2? Some Particular Forces An 110 kg salami is supported by a cord that runs to

Explanation / Answer

Kinematics A = V/t = (Vf-Vi)/tf-ti A = (5m/s-(-4m/s))/3s A = (9m/s)/3s A = 3m/s2 --------------------- F1 = 7.0N i F2 = 9.0N F = ma = (4.0kg)(3m/s2) = 12.0N So total force = 12.0N subtracting force one (which we know is in the x direction, ori direction) Total force - F1 = 12.0N - 7.0N = 5.0N So the second force must have a component of 5.0N in the xdirection, F2x = 5.0N But we know the (Force 2 )= 9.0N and we know that taking the cosine of an angle with respect tothe x axis times the force gives us the x component of that force,namely: 9.0cos = 5.0 cos = 5.0/9.0 = cos-1(5.0/9.0) ------------------------ Which gives us theangle between the constant directions of F1 and F2 =56.25o Note: use however manysig. fig.s you like ----------------------- I hope this solution was helpful for you. Let me know if you have any questions. Please remember to rate my response. Note: use however manysig. fig.s you like ----------------------- I hope this solution was helpful for you. Let me know if you have any questions. Please remember to rate my response.

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