Classical Mechanics Answers

As a physics instructor hurries to the bus stop, her bus passes her, stops ahead, and begins loading passengers. She runs at 6.0 m/s to catch the bus, but the door closes when she's still 6.0 m behind the door, and the bus leaves the stop at a constant acceleration of 2.0 m/s2 . She has missed her bus, but as a physics exercise she keeps running at 6.0 m/s until she draws even with the bus door. She keeps running at a constant 6.0 m/s after drawing even with the bus door and pulls ahead for a while, but the accelerating bus soon overtakes her. Calculate Δt

Δt from the instant the bus leaves the stop to the instant the instructor draws even with the door.

The volume of a sphere is to be computed from the measured value of its radius. Estimate the maximum permissible percentage error in the measurement if the percentage error in the volume must be kept within ±6%.

A student is standing at the top of a 10m tall building when they kick a soccer ball off the roof at a speed of 15m/s, at an angle of 30o above the horizontal. The ball then lands on the ground, some distance from the building.

How much water (density = 1.00 X 10³ kg/m3 ) must be displaced to float a cubic block of wood (density 655 kg/m3) that is 15.0 cm on a side?

show that the set of all continues function in the interval of [-1,1], c^0([-1,1]) is a vector space

A certain belief system attempts to correlate man and the universe. Such a belief system includes methods for orienting buildings and human activities with reference to stars to help improve the flow of positive energy.

An elderly man in the village who practices this belief system claims that students could benefit from this system by following a simple method. When studying, student must sit facing north and also sleep with his or her head pointed to the north. As claimed by the elderly man, students who followed his method will benefit from the alignment with the earth's magnetic field. This in turn will result in consistently high grades for the students during examinations for the remainder of the semester. 

Evaluate such claim using the diagnostic features of science; Explain why such a belief system could persist.

A hiker begins a trip by first walking 23.5 km

southeast from her base camp. On the second

day, she walks 40.5 km in a direction 69.3

◦

north of east, at which point she discovers a

forest ranger’s tower.

Determine the y component of the total

displacement.

Answer in units of km.

002 (part 2 of 3) 10.0 points

Find the magnitude of the resultant displace-

ment.

Answer in units of km.

003 (part 3 of 3) 10.0 points

Find the angle θ that the vector R = A + B

makes with the positive x axis, use counter-

clockwise as the positive angular direction,

between the limits of −180◦

and +180◦

[#446] Going up, going down (part E)

We how have:

Net force on m

m

Net force on M

M

ma = T-mg

ma=T−mg

Ma=Mg-T

Ma=Mg−T

Using these results from part D, find a very simple expression for the acceleration a

a in terms of g

g.

Acceleration = _______.

when a falling meteoroid is at a distance above the earths surface of 3 times the earths radius , what is the acceleration due to the earths gravitation