Mechanics | Relativity Answers

A particle of mass m can move on a smooth horizontal table.it is attached to a string which pass through a smooth hole in the table goes under a small smooth pulley of mass M and is attached to a point in the under side of the table so that the parts of string hang vertically.if the motion be slightly disturbed when the mass m is describing a circle uniformly so that the angular momentum unchanged find the apsidal angle?

A cello string vibrates in its fundamental
mode with a frequency of 242 1/s. The vibrating segment is 91 cm long and has a mass
of 0.82 g.
Find the tension in the string.
Answer in units of N

Find the frequency of the string when it
vibrates in three segments.
Answer in units of 1/s.

Question text
A 35.4 g bullet strikes a 18.0 kg stationary wooden block and embeds itself in the block. The block and the bullet fly off together at 13.3 m/s.



What was the initial velocity of the bullet?

Hobbes, the stuffed tiger, has a mass of 28.4 kg. Calvin, the little boy, has a mass of 17.7 kg. In a game of football, Hobbes runs to the right (towards Calvin) at 9.2 m/s. Calvin runs to the left (towards Hobbes) at 12.0 m/s. The two collide and stick together.



What is their final velocity? (Assume that velocities to the right are positive.)

A glider with mass sits on a frictionless horizontal air track, connected to a
spring with force constant k = 5.00 N/m. You pull on the glider, stretching
the spring 0.100 m, and release it from rest. The glider moves back toward
its equilibrium position (x=0). What is its x-velocity when x = 0.080 m?

rabbit run across a parking lot on which set of coordinates axes has been drawn. The coordinates (in metres) of the rabbits position as function of time (in second) are given by:-
x= -0.32t² + 7.2t + 28
y= 0.22t² - 9.1t + 30
At t=15 s, what is the rabbits position for r in unit vector notation and in magnitude angle notation?
i. Draw a graph for rabbits path for t= 0 to t= 25 s
ii. Find the rabbits velocity v at time t= 15 s
iii. Find the rabbits acceleration 'a' at time t= 15 s.

Model equation for contaminant concentration in a space and apply to the following. A person breathes out CO2 at the rate of 0.3L/min. The concentration of CO2 in the incoming ventilation air is 400 ppm. It is desired to hold the concentration in the room below 1000ppm. Assuming that the air in the room is perfectly mixed, what is the minimum rate of air flow is required to maintain the desired level as per ASHRAE standard 62-1999?. If the same room is designed to occupy 6 persons determine the total amount of CO2 per second breath out and amount of incoming air to meet the ASHRAE standard 62-1999 desired comfortable ambient.

How far from the earth would you be able to travel in a lifetime of 89 years if you were able to travel at a constant speed of 0.60c?

A 4.00-kg particle moves from the origin to position C, having coordinates x = 5.00 m and y = 5.00 m. One force on the particle is the gravitational force acting in the negative y direction . calculate the work done by the gravitational force in going from O to C
along (a) OAC. (b) OBC. (c) OC. Your results should all be identical. Why?

Object A has an initial velocity of (10m/s, 0o). Object A has a mass of 5kg. Object B has a mass of 10kg and is initially at rest. After the collision, Object A heads off at an angle of 40o and Object B heads off at an angle of -20o. Calculate the velocity of each object after the collision.