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Q1. A metal block of mass m slides on a horizontal surface that has been lubricated with a heavy oil so that the block suffers a viscous resistance that varies as the 3/2 power of the speed F(v)=-cv^3/2. If the initial speed of the block is v0 at x=0, show that the block cannot travel farther than 2mv0^1/2 / c.
Q2. On a spacecraft two engines fire for a time of 396s. One gives the craft an acceleration in the x direction of ax = 9.04 m/s2, as other produces an acceleration in the y direction of ay = 7.7m/s2. At the end of the firing period, craft has velocity components of vx = 4430 m/s and vy = 3950 m/s. Find out the magnitude and direction of initial velocity. Express the direction as an angle with respect to the +x axis.
A cannonball shot with the initial velocity of 129 m/s at an angle of 36° follows a parabolic path and hits a balloon at the top of its trajectory. Neglect air resistance, how fast is the cannonball going as it hits the balloon.
Find out the work completed by neoconservative forces in stopping plane. At the nozzle exit, diameter is 2.5 cm and the density is 1.29kg/m^3. What is the speed of the air as it leaves the nozzle.
Find the use of an NPN common emitter transistor, advantage of direct - coupled amplifier and bandwidth of an amplifier.
How to compute the average force
A somewhat longer cable replaces the old and is attached to the steel bar 5 m from its upper end, connecting to the same place on the wall as before and maintaining the same angle between the bar and the wall.
Compute the semi major axis of the star orbit
A 220 g block is attached to a horizontal spring and executes simple harmonic motion with a period of 0.150 s. If the total energy of the system is 3.50 J.
A train at rest emits a sound at a frequency of 1045 Hz. An observer in a car travels away from the sound source at a speed of 37 m/s.What is the frequency heard by the observer . What must be the result have been for the horizontal speed.
What is the reading of spring scale
A 2.16 kg block on a horizontal floor is attached to a horizontal spring that is initially compressed 0.0320 m. The spring has force constant 840 N/m.
What is mechanical energy dissipated by resistive forces
Basic science concepts in optics like Which types of electromagnetic radiation can be seen from the surface of Earth.
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