You are the science officer on a visit to a distant solar sy…

You are the science officer on a visit to a distant solar system. Prior to landing on a planet you measure its diameter to be 1.8×107 m. You have previously determined that the planet orbits 7.6×1011 m from its star with a period of 402 earth days. Once on the surface you find that the acceleration due to gravity is 46.5 ms2. What are the masses of (a) the planet and (b) the star?

A person ties a rock to a string and whirls it around in a v…

A person ties a rock to a string and whirls it around in a verticle such that sometimes the rock is going straight upward and sometimes the rock is going straight down. She whirls the rock at the minimum speed (constant in time) such that the string is always taut (no sag). When is the tension the highest?

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.)