Mechanics | Relativity Answers

A simple pendulum makes 5 oscillations in 1 minute determine the oscillation

The velocity of a particle moving along the x-axis varies according

an elevator moving downward at 4 m/s experiences an upward acceleration of 2m/s squared for 1.8s. what is the velocity at the end of the acceleration

a car initially traveling at 35m/s takes 2.9 sec to readh an acceleration of 8.4 m/s2. how far does the car travel?

Find the fringe width for light of wavelength 700Å, distance between slits is 0.1mm, distance between source and screen 5 cm.

A cat chases a mouse across a 1.7 m high table. The mouse steps out of the way, and the cat slides off the table and strikes the floor 1.5 m from the edge of the table.
The acceleration of gravity is 9.81 m/s2 .
What was the cat’s speed when it slid off the table?

Identify these as qualitative or quantitative descriptions of a car driving on the road.

1. Going too fast


2. Slower than 100 km/h


3. Breaking the speed limit


4. Moving at 27.7 m/s


5. Accelerating quickly

A train is traveling at a speed of 26 m/s. An inconsiderate passenger tosses an apple core directly out the window (perpendicular to the side of the train) at a velocity of 3.3 m/s relative to the train. Find the angle that the apple core’s velocity makes with the track as viewed by a wolf sitting nearby.

Design a mechanism to handle brick transport.A mechanism to pick up bricks from a moving transport belt and deposit them onto anther one moving at 90 degree angle .Both belt are horizontal and the transport one pair of bricks per second.

B. Now imagine that you are living in a world where free-falling objects have an
upwards jerk (i.e. a negative jerk if down is positive). In other words, they
accelerate downwards, but the downwards acceleration gets smaller and smaller
with each beat.
i. Design a pattern of bolt positions that might produce a steady rhythm in this
imaginary world. Think hard. This is hard.

BIG Hint: to do this, you will have to pick some arbitrary, large downwards
acceleration to start out with, and some small constant upwards jerk
(amount the acceleration shrinks by for each beat). But remember: jerk is a
change in acceleration, not a change in velocity!
Show ALL work relating to your pattern.

ii. Draw both a position and a displacement diagram for your pattern.

iii. Using math, words, & diagrams (as necessary), explain why your pattern
should produce a steady rhythm in the imaginary world where free-fall
acceleration is downward but jerk is upward: i.e. justify your solution.