An object attached to the end of a string swings in a vertic…

An object attached to the end of a string swings in a vertical circle ( R=1.20 m), as shown. At an instant when θ=30.00°, the speed of the object is 5.10 ms and the tension in the string has a magnitude of 20.00 N. (a) What is the mass of the object and (b) what are the magnitude and direction of the tangential acceleration of the object? If the speed of the object is 5.10 ms at an instant when θ=0.00°, (c) what is the magnitude of the tension in the string? If the magnitude of the tension in the string is 20.00 N at an instant when θ=270.00°, (d) what is the speed of the object? If the same particle with the same string is doing circular motion as shown in Fig. 2.2, (e) what is the speed of the particle? 

The drawing shows a 25.00 kg crate that is initially at rest…

The drawing shows a 25.00 kg crate that is initially at rest on a floor. If F→2=10.00 N in Fig. 1.1 and the magnitude of the normal force on the crate is N→=270.00 N, (a) what is the magnitude of F→1? If F→2=10.00 N in Fig. 1.1 and the magnitude of the normal force on the crate is N→=287.04 N when the crate is at the verge of motion, (b) what is the coefficient of static friction between the crate and the floor? If the magnitude of F→2 in Fig. 1.1 is increased but the magnitude of F→1 is F→1=30.0 N and the coefficient of static friction between the crate and the floor is given by the result in (b), (c) what is the magnitude of force F→2 so that the crate is at the verge of motion? If the coefficient of kinetic friction between the crate and the floor is 0.875μs and the magnitudes of F→1 and F→2 in Fig. 1.1 are 30.00 N and 90.00 N, respectively, what is the acceleration of the crate? As shown in Fig. 1.2, if two forces F→1 and F→2 applied on the crate are parallel to the ground and the crate starts to move, (e) what are the magnitude and direction of the acceleration of the crate (Note: Fig. 1.2 is a top view of the crate.)

You have a 20-year-old female who appears very ill. She has…

You have a 20-year-old female who appears very ill. She has a fever and foul-smelling vaginal discharge, and she reports severe lower abdominal pain with a history of gonorrhea and chlamydia. Which of the following is most likely the cause of her abdominal discomfort?