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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 ball is thrown upward at a speed v0 at an angle of 50.0° above the horizontal. It reaches a maximum height of 7.5 m. How high would this ball go if it were thrown straight upward at speed v0.
A tennis ball is thrown toward a vertical wall with a speed of 22.0 m/s at the angle of 40.0° above the horizontal. The horizontal distance between the wall and the point where the tennis ball is released is 28.0 m.
A rectangle measuring 30.0 {rm cm} by 40.0 {rm cm} is located inside a region of a spatially uniform magnetic field of 1.30 T, with the field perpendicular to the plane of the coil. The coil is pulled out at a steady rate of 2.00 {rm{ cm/s}} travelli..
What is the terminal speed at which the bar falls? Imagine the bar remains horizontal and in contact with the rods at all times.
What should be coefficient of static friction
How many 95W light bulbs can you use in a 120V circuit without tripping a 17A circuit breaker? (The bulbs are connected in parallel, which means that the potential difference across each light bulb is V.)
A jetliner is moving at a speed of 187 m/s. The vertical component of the plane's velocity is 44.5 m/s. find out the magnitude of the horizontal component of the plane's velocity.
Estimate the distance of GPS satellite from the ground.
orville walks 318 m due east. He then continues walking along the straight line, but in a different direction, and stops 164 m northeast of his starting point. How far did he walk during the second portion of trip and in what direction.
Find (a) magnitude and (b) direction of A - B. (Give the direction as a positive angle with respect to due east). Find out the (c) magnitude and (d) direction of B - A. (Give the direction as a positive angle with respect to due west).
You're carrying a 4.0-m-long, 25 poles to a construction site when you choose to stop for a rest. You place one end of the pole on a fence post and hold the other end of the pole 35 from its tip. How much force should you exert to keep pole motionles..
What is the least time necessary for crossing
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