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A rectangular slab (43m x 12m x 2.5m) of slate rests on a 26 degree incline. The density of the slab is 3.2 x 10^3 kg/m^3. The coefficient of static friction between the slab & the plane is 0.36.
a) Calculate the component of the slab's weight acting parallel to the incline.
b) Calculate the static frictional force on the slab
c) From the above calculation you can see that the slab will slide down the plane. To stabilise the slab, bolts are driven perpendicular to the incline. Each bolt has a cross-sectional area of 6.4cm^2 and a breaking stress of 3.8 x 10^8 N/m^2. Use a safety factor of 2 and calculate the number of bolts needed.
19 g of helium gas are placed in a cylinder with a movable piston. The gas is compressed very slowly from a state of ( p1 = 5atm; v1 = 32 x 10^-3m^3) to a state of (p2 = 17atm; v2 = 9 x 10^-3m^3 )
calculate the expectation value of the x position of a particle known to be in a state n 3 of a 1d box of length l.
A gray kangaroo can bound across a flat stretch of ground with each jump carrying it 11 from the takeoff point. If the kangaroo leaves the ground at a 21 angle, what is its takeoff speed
a mass spectrometer can detect the different isotopes of an ionized element. if zn2 ions are accelerated through a 10
A flat slab of styrofoam, with a density of 32 kg/m^3, floats on a lake. What minimum volume must the slab have so that a 34kg boy can sit on the slab without it sinking
A race car starting from rest accelerates at a constant rate of 6.50 m/s2. What is the velocity of the car
A sheet of copper ( is 2.0 mm thick and has surface dimensions of 3.0 cm x 16 cm. If the long edges are joined to form a tube 16 cm in length, what is the resistance between the ends
a tennis bal is hit vertically upward with a speed of 21.0 msec from the roof of an office-building that is 275 ft
A 9.23-kg monkey is hanging by one arm from a branch and swinging on a vertical circle. Find the magnitude of the tension in the monkey's arm
A capacitor with capacitance C = 4.10·10^-6 F is connected to an AC power source having a peak value of 6.0 V and f = 130 Hz. Find the reactance of the capacitor. Calculate the maximum current in the circuit.
Suppose you aim to suspend in air a perfectly reflecting 4cmx4cm surface, with mass m = 0.00045kg. What intensity of light must you shine on it
A block of aluminum weight 140.0 g is cooled from 98.4 degrees celcius to 62.2 degrees celcius with the release of 1080 J of heat. From this data calculate the specific heat of aluminum
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