show all work like I\'m new at this and answer. I want to understand this: 1. An

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show all work like I'm new at this and answer. I want to understand this:

1. An object of mass m1 = 4.00 kg is tied to an object of mass m2 = 3.90 kg with String 1 of length = 0.500 m. The combination is swung in a vertical circular path on a second string, String 2, of length = 0.500 m. During the motion, the two strings are collinear at all times as shown in the figure. At the top of its motion, m2 is traveling at v = 5.20 m/s.

2. Consider a conical pendulum with a bob of mass m = 87.0 kg on a string of length L = 10.0 m that makes an angle of ? = 7.00Ý° with the vertical. (Consider + to be towards the center of the circular path and + to be upward.)

An object of mass m1 = 4.00 kg is tied to an object of mass m2 = 3.90 kg with String 1 of length = 0.500 m. The combination is swung in a vertical circular path on a second string, String 2, of length = 0.500 m. During the motion, the two strings are collinear at all times as shown in the figure. At the top of its motion, m2 is traveling at v = 5.20 m/s. What is the tension in String 1 at this instant? Does the mass of m2 affect the force needed to make m1 travel in a circle? _______N i + ______ N j hat What is the tension in String 2 at this instant? N Consider a conical pendulum with a bob of mass m = 87.0 kg on a string of length L = 10.0 m that makes an angle of ? = 7.00 with the vertical. (Consider + to be towards the center of the circular path and + to be upward.) Determine the horizontal and vertical components of the force exerted by the string on the pendulum. N + N Determine the radial acceleration of the bob. m/s2 A car initially traveling eastward turns north by traveling in a circular path at uniform speed as in the figure below. The length of the arc ABC is 239 m, and the car completes the turn in 42.0 s. What is the acceleration when the car is at B located at an angle of 35.0 ? Express your answer in terms of the unit vectors i and j hat ___________m/s2 + ______________m/s2 Determine the car's average speed. m/s Determine its average acceleration during the 42.0-s interval. _________m/s2 i hat + ______m/s2 j hat

Explanation / Answer

1)let w is the angular speed

w = v/l = 5.2/0.5 = 10.4 rad/s

a) T1 = m1*(l+l)*w^2 - m1*g = 4*2*0.5*10.4^2 = 393.44 N

b) T2 = m2*l*w^2 + m1*(l+l)*w^2 - m1*g - m2*g = 565.936 N

2)

let T is the tension in the string

Ty = m*g
Ty= 87*9.8

Ty = 852.6 N (vrtical force)

T = 852.6/cos(7)

T = 859 N


Tx = T*sin(7) = 104.68 N


b) a_rad = Tx/m = 104.68/87 = 1.203 m/s^2

3)

here, 2*pi*r/4 = 239

==> r = 152.23 m

speed, v = distance/time = 239/42 = 5.69 m/s

a = v^2/r = 0.213 m/s^2


a) ax = -a*cos(35) = -0.174 m/s^2

ay = a*sin(35) = 0.122 m/s^2

a = (-0.174 i + 0.122 j )m/s^2

b)average speed, v_avg = distance/time = 239/42 = 5.69 m/s^2

c)


v1x = -5.6 m/s
v2x = 0
v1y = 0
v2y = +5.6 m/s

ax_ang = (v2x-v1x)/t = -0.1355 m/s^2

ay_avg = (v2y-v1y) = 0.1355 m/s^2


a_avg = (-0.1355 i + 0.1355 j) m/s^2

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