Problem 5.06 Constants Part B A 1090-kg car is being pulled up a frictionless ra
ID: 1881052 • Letter: P
Question
Problem 5.06 Constants Part B A 1090-kg car is being pulled up a frictionless ramp at a constant speed, as shown in the figure. (Figure 1) The cable makes an angle of 31.0° above the surface of the ramp, and the ramp itself rises at 25.0° above the horizontal Find the tension in the cable Express your answer in newtons to three significant figures Submit Request Answer Figure 1 of 1> Part C How hard does the surface of the ramp push on the car? Express your answer in newtons to three significant figures 31.0 Submit Request Answer 25.00Explanation / Answer
Given,
Mass, m = 1090 kg
Angle = 31 degree
B)
Force, F = ma = 0
T cos(phi) - mg sin(theta) = 0
T = (mg sin(theta)/cos(phi)) = (1090 x 9.81 x sin25) / cos31 = 5272.03 N
C)
R + T sin(phi) - mg cos(theta) = 0
R = mg cos(theta) - T sin(phi)
R = (1090 x 9.81 x cos25) - (5272.03 x sin31)
R =6975.76 N
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