Acceleration is the rate of change of velocity with time. Average acceleration is found by dividing the change in velocity by the change in time (Δv/Δt). In calculus, instantaneous acceleration is the first derivative of velocity with respect to time (dv/dt). While most commonly referring to an increase in speed, because velocity is a vector, a body accelerates when it speeds up or slows down or changes direction. For example, if you drive in a circle at constant speed you are constantly accelerating (which is why you feel "pushed" to the outside of the circle). The SI units of acceleration are meters per second squared (m/s2).
Light from a helium-neon laser
(? = 633 nm) is used to illuminate two narrow slits.
The interference pattern is observed on a screen 3.3m behind the
slits. Eleven bright fringes are seen, spanning a distance of 54mm
What is the spacing (in mm) between the slits?
An uncrewed mission to the nearest star, Proxima Centauri, is launched from the Earth's surface as a projectile with an initial speed of 43.7 km/s, just enough for the spacecraft to escape the Earth's gravity and leave the solar system. Ignoring air resistance and the Earth's rotation, what is the speed of the spacecraft when it is more than halfway to the star? Assume we are ignoring the effect of the Sun on the spacecraft.•
A 1.94-kg box rests atop a massless vertical spring with
k = 4240 N/m
that has been compressed by 15.6 cm from its equilibrium position. The box is released and leaves the spring when it reaches its equilibrium position. What is the maximum height the box reaches above its original position?•
Julie has been hired to help paint the trim of a building, but
she is not convinced of the safety of the apparatus. A 4.6 m plank
is suspended horizontally from the top of the building by ropes
attached at each end. She knows from previous experience that the
ropes being used will break if the tension exceeds 1.0 kN. Her 96
kg boss dismisses Julie's worries and begins painting while
standing 1.0 m from the end of the plank. If Julie's mass is 54 kg
and the plank has a mass of 15 kg, then over what range of
positions can Julie stand to join her boss without causing the
ropes to break?
0 < x <
A coiled spring obeys Hooke's law, which is
That fluid flow can be turbulent around an obstacle under some conditions set by this law.
That the force exerted by the spring is given by -kx, where x is how far it is pulled from equilibrium.
That the force on the spring is mg, where g is the acceleration of gravity.
That the spring bounces with a frequency given by the mass loaded on it and some constant.
Blue light of wavelength
470nm passes through an interference grating with a slit spacing of 0.003mm and makes an interference pattern on the wall.
How many bright fringes will be seen?
The Reynolds number is
Pick the ones that apply
Decreases the more syrupy the fluid
When small makes the fluid flow smooth and not turbulent
Is dimensionless, that is, has the same value as long as consisten units are used for the terms that contribute to it.
Would be small for Earth's atmosphere in a thunderstorm
Is small for human cells in the body
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