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Find the length to three significant digits of each arc intercepted by a central angle $\theta$ in a circle of radius $r .$$$r=0.892 \mathrm{cm}, \quad \theta=\frac{11 \pi}{10} \text { radians }$$
Helium is compressed isothermally from $121 \mathrm{kPa}(\text { abs })$ to $301 \mathrm{kPa}(\text { abs }) .$ Determine the entropy change associated with this process.
Two masses A and B are connected to each other by a massless string that hangs over a pulley as shown in the figure.
Both masses start from rest at a height h = 1.5 m from the floor, where h = 0, and are released.If mA = 0.5 kg and mB = 1 kg, what is the speed of mass B just as it touches the floor?(a) vB = 5.42 m/s(b) vB = 6.64 m/s(c) vB = 7.67 m/s(d) vB = 2.21 m/s(e) vB = 9.39 m/s
A uniform rod AB of length L = 2.9 m and weight W = 136 N (acting through the centre of the rod) is supported by two vertical strings at its ends. Suspended from the rod at a distance of x = 0.75 m from A is a load of m = 25 kg, as shown in the diagram below. Determine the tension in the string connected at B.Give your answer to 0 decimal places.
The helicopter view in the figure below shows two people pulling on a stubborn mule. (Take F1 = 126 N and F2 = 67.0 N.)(a) Find the single force that is equivalent to the two forces shown.magnitude Ndirection ° counterclockwise from the +x-axis(b) Find the force a third person would have to exert on the mule to make the net force equal to zero.magnitude Ndirection ° counterclockwise from the +x-axis
A vector F1 has a magnitude of 45.0 units and points 30.0° above the positive x axis. A second vector F2 has a magnitude of 35.0 units and points in the positive y direction.a) What is the x and y component of F1 ?b) What is the x and y component of F2 ?c) Find the magnitude and direction, relative to the positive x axis, of the resultant F = F1 + F2 .
The bottom string holds a plastic ball under water (in Figure). What is the tension in the string? (ρ_water = 1000 kg/m^3, 1 cm^3 = 1×10^-6 m^3) 75 cm^3 of plastic, density ρ_p = 840 kg/m^3.
Two 6.1-kg bowling balls, each with a radius of 0.12 m, are in contact with one another.
Part A:What is the gravitational attraction between the bowling balls? Express your answer using two significant figures.
