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A welded railway line, of length 15 km, is laid without expansion joints in a desert where the night and day temperatures differ by 50 K.
If she aims her body directly across a 150 m wide river whose current is 0.55 m/s, how far downstream.
We are given a cone of height H and angle alpha with constant density. We want to calculate the center of mass using triple integrals in cylindrical coordinates
The stairs are angled at 45° pointing in the direction of motion as shown. What is the velocity of the passenger relative to the water?
A ball is shot from the ground into the air. At a height of 9.1m, the velocity is observed to be V = 7.9i + 5.1j in m/s (i horizontally, j upward).
How many alpha particles are emitted per minute by 1cm^3 of 222^Rn monoatomic gas at a temperature of 27 degrees Celsius and a pressure
Compute the moment of the 100-lb force about A, (a) by using the definition of the moment of a force, (b) by resolving the force
Find its position vector in terms of the vector's magnitude and orientation. What is the magnitude?
What is the minimum coefficient of static friction required between the crate and truck bed, if it is not to slide forward?
What was the average speed of the car between 2 pm and 4pm? That is, what was the average speedometer reading in miles/hour?
Consider a force F acting on a particle that moves with a velocity v for F=(6N)i - (5N)j and v = (-5 m/s)i + (4 m/s)j
Automobile engine slows down from 4500 rpm to 1200 rpm in 2.5 s. Calculate (a) its angular acceleration, assumed constant.
A person about to jump from a 1.6m high platform wants to limit the average stopping force on landing to 12 times her weight.
The simple pendulum in a grandfather clock is 1.0 m long. What are (a) the period and (b) the frequency of this pendulum?
Determine the impulse of his foot on the ball. Neglect the impulse caused by the ball's weight while its being kicked.
A particle of mass m is in the one-dimentional potential given by V(x) = Kx^3 for x >= 0, there K is a positive constant.
Jonathan and Jane are sitting in a sleigh that is at rest on frictionless ice. Jonathan's weight is 800 N, Jane's weight is 600 N, and that of the sleigh.
Angular momentum of the stick+puck is conserved about the (stationary) point where the collision occurs.
210Po is used as a source of 5.2 [MeV] alpha particles in a Rutherford experiment. The alpha particles are directed at a gold foil of thickness 2µm
An impulse air turbine has a total (on static) inlet pressure and temperature of 11,25 bar, 600 degrees K.
For zero mass particles, like neutrinos, the relativistic relationship between energy E and momentum p is
What is it's average angular speed in rad/s? (b) What are the tangential speed of two people 4.0 m and 5.0 m from the center, or axis of rotation?
How to find a formula for the partition function of a dilute ideal gas of N spinless particles of mass m in a volume V at a temperature T?
As the temperature of a sample of a radioactive element decreases, the half-life will
Its displacement varies with time according to the equation x=5(pi/t +pi/3). The velocity (in m/s) of the body at t=1 second is equal to what value?