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An 800 g steel plate has the shape of the isosceles triangle shown in the figure(Figure 1) . The hieght of the triangle is 30 cm and th base is 20 cm. What is the x-coordinates of the center of mass?
Hint: Divide the triangle into vertical strips of width dx, then relate the mass dm of a strip at position x to the values of x and dx. What is the y-coordinates of the center of mass?
The figure below shows a thin-lens representation of a compound microscope (not to scale). The objective produces a real image I of object O just inside the focal point F1 of the eyepiece. Image I then acts as an object for the eyepiece, which pro..
the density of helium gas at T=0 degrees Celcius is 0.179kg/m3. Temp is raised to 100 degrees Celcius, but pressure isconstant. calculate new density of gas
A door 1.40 m wide and 2.20 m highweighs 280 N and is supported by two hinges, one 0.50 m from the top and the other 0.50 m from the bottom. Each hinge supports half the total weight of the door. Assuming that the door's center of gravity is at it..
A copper rod 81cm long is used to poke a fire. The hot end of the rod is maintained at 105 degrees celcius and the cool end has a constant temperature of 21 degrees celcius. What is the temperature of the rod 25cm from the cool end?
An ideal gas, which is initially at a pressure of 3.50atm and a temperature of 375 K is permitted to expand adiabatically to 1.60 times its initial volume. Discover the final pressure if the gas is monatomic in atm. Discover the final temperature if ..
A force given by F(x) = 5x3 (in N/m3) acts on a 1-kg mass moving on a frictionless surface. The mass moves from x = 3.87 m to x = 6.09 m. How much work is done by the force
A diffraction pattern forms when light passes during a single slit. The wavelength of the light is 675 nm.
Two parallel metal rods form a plane inclined at 20 degrees to the horizontal. The upper end of the rods are connected together by a resistor of 166ohms, What is the maximum speed of the bar
A deep-space probe moves away from Earth by a speed of0.80c. An antenna on the probe requires 3.0 s, in probe time, to rotate during 1.0 rev. How much time is required for 1.0 rev according to an observer on Earth?
The figure shows a toroid with N total turns and a current I . Apply Ampere's Law to find the magnitude of the magnetic field inside the toroid and at a distance r from the axis of the toroid. [Make sure you draw a diagram to show the Amperian loo..
an isolated cylinder contains 0.3 m3 of steam divided into two closed chambers by a piston that can operate
A 10-uF, a 20-uF, and a 50-uF capacitor are connected in series across a 160 volt source. What value of charge is on each capcitor
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