Mechanics | Relativity Answers

A particle executes simple harmonic motion with an amplitude of 4.72 cm. At what positive displacement from the midpoint of its motion does its speed equal one half of its maximum speed?

is considered circular with a diameter of 2b. A participant starts his vehicle manages to increases his speed at a constant rate of α. Obtain a simplified expression between his velocity and his acceleration as a function of time

A single conservative force acting on a particle within a system varies as 𝐹⃗ = (−𝐴𝑥 + 𝐵𝑥

2

)𝑖, ̂

where A and B are constants, 𝐹⃗ is in newtons, and x is in meters. (a) Calculate the potential 

energy function U(x) associated with this force for the system, taking U=0 at x=0. Find (b)

the change in potential energy and (c) the change in kinetic energy of the system as the 

particle moves from x=2m to x-3m.

1)A single conservative force acting on a particle within a system varies as 𝐹⃗ = (−𝐴𝑥 + 𝐵𝑥

2

)𝑖, ̂

where A and B are constants, 𝐹⃗ is in newtons, and x is in meters. (a) Calculate the potential 

energy function U(x) associated with this force for the system, taking U=0 at x=0. Find (b)

the change in potential energy and (c) the change in kinetic energy of the system as the 

particle moves from x=2m to x-3m.

A 5-Kg block is placed on top of a 10-kg block (shown below). A horizontal force of 45 N is 

applied to the 10-kg block, and the 5-kg block is tied to the wall. The coefficient of kinetic 

friction between all moving surfaces is 0.2. (a) Draw a free body diagram for each block and 

identify the action-reaction forces between the blocks. (b) Determine the tension in the 

string and the magnitude of the acceleration of the 10-kg block.

A car starts from a stop light and is traveling with a velocity of 10 meter per second east in 20 seconds. What is the acceleration of the car

An intravenous (IV) system is supplying saline solution to a patient at the rate of

0.120 cm3 /s through a needle of radius 0.150 mm and length

2.50 cm. What pressure is needed at the entrance of the needle to cause this flow,

assuming the viscosity of the saline solution to be the same

as that of water? The gauge pressure of the blood in the patient’s vein is 8.00 mm

Hg. (Assume that the temperature is 20ºC .)Strategy Assuming laminar flow,

Poiseuille’s law applies.

A rope inclined at angle 37degree to the horizontal is used to drag a 50kg block along a level floor with an acceleration of 1m/s². The coefficient of friction between the block and floor is 0.2. What is the tension in the rope?

Find the magnitude of the free-fall acceleration at the orbit of the Moon (a distance of 60RE from the center of the Earth with the radius of RE). Use the gravitational acceleration on the surface of the Earth is 9.8m/s^2 

compare the series formula and parallel formula in RESISTANCE, VOLTAGE, and CURRENT.

SERIES FORMULA

current -

voltage -

resistance-

PARALLEL FORMULA

current -

voltage-

resistance