Classical Mechanics Answers

An aluminum ball of mass 54.0 g and density 2.70 g/cm³ is placed in a beaker filled with water. a.) What is the volume of the ball? b.) What is the volume of water that will spill out of the beaker? c.) What is the buoyant force of the water on the ball?

Using the information from question #561a above:

b) What is his weight on the moon? _____ newtons

Using the information from question #561a above:

b) What is his weight on the moon? _____ newtons

Using the information from question #561a above:

b) What is his weight on the moon? _____ newtons

Three vectors

𝒗1,𝒗2, 𝒗3 originate from a single point and are coplanar on the x-y plane. The vector 𝒗1 is at an angle of 30deg clockwise from the positive y axis. The vector 𝒗2 is along the positive x axis and has a magnitude of 200 units. The vector 𝒗3 has a magnitude of 260 units and is at an angle 𝜃 counter clockwise from the negative y axis, such than tan𝜃= 5/12.

A) Determine the magnitude of v1 and the resultant vector, such that the magnitude of resultant vector is minimized. Report results in three significant figures.

B) What is the angle that the resultant vector makes with x-axis?

The m = 10.2 kg block in the figure(Figure 1) is held in place by the massless rope passing over two massless, frictionless pulleys.Find the tensions T1 to T5 and the magnitude of force F? .

Potential energy of a particle at position X is given by U= x²-10x+4. Equilibrium position of the particle will be

Block B in Figure weighs 711 N. The coefficient of static friction between block and table

is 0.25; angle θ is 300

; assume that the cord between B and the knot is horizontal. Find the

maximum weight of block A for which the system will be stationary?

Two packages at UPS start sliding down the 20 degree ramp shown in Figure. Package A

has a mass of 5.0 kg and a coefficient of friction of 0.20. Package B has a mass of 10 kg and a

coefficient of friction of 0.15. How long does it take package A to reach the bottom?