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Question1
A small asteroid of mass 2.6E9 kg is revealed travelling at a speed of 18km/s on a direct heading for Starbase Alpha, which is in deep space well outside solar system. Lacking weapons of enough power to destroy the asteroid, the frightened starbase inhabitants decide to deflect it by hitting it with a remote controlled spaceship. The spaceship has an empty mass of 25,000kg and a top speed of 85 km/s when its fuel is exhausted. The asteroid has to be deflected so that by the time it reaches the starbase, its center is 1800m away from its original path. What is least time by the asteroids projected impact that spaceship should reach the asteroid. Give details carefully.
Question2
An object weighs 284 N in the air. While tied to a string, connected to a balance, and absorbed in water, it weighs 225 N. When it is absorbed in oil, it weighs 264 N.
(a) Find density of the object.
(b) Find density of the oil.
The image of an object seen in a mirror is twice its actual size. The orientation of the image is the same as that of the object. what is the focal length of the mirror
Cars A and B are traveling around the circular race track. At the instant shown, A has a speed of 78ft/s, Determine the relative acceleration of car A with respect to car B at this instant
A van with a mass m(v) moves along a frictionless road at v0 m/s when some heavy luggage is added to the top that weighs m(l) onto the roof
A projectile is fired from the edge of a 10m high cliff at 10m/s and an angle of 30 degrees from the horizontal. what is the magnitude of the final velocity
An object falls off of a pier and into the ocean (sea water) where it displaces a total volume of 3.6 cubic meters of sea water. What is the buoyant force acting on the object
a 15-kg block rests on a level frictionless surface and is attatched by a light string to a 5.0-kg hanging mass, what is the tension in the connecting string
A small glass bead has been charged to +19 nC. A metal ball bearing 1.0 cm above the bead feels a 0.025 N downward electric force
What is the width of a single slit that produces its first minimum at 60.0° for 580 nm light, Using the slit from part (a), find the wavelength of light that has its first minimum at 62.5°
A 9410-kg car is traveling at 29.7 m/s when the driver decides to exit the freeway by going up the ramp. compute the Magnitude of the average drag force exerted on the car?
As a tennis ball is struck, it departs from the racket horizontally with a speed of 27.3 m/s. The ball hits the court at a horizontal distance of 19.3 m from the racket. How far above the court is the tennis ball when it leaves the racket?
A 1.80 kg block slides on a frictionless horizontal surface. The block hits a spring with a speed of 2.00 m/s and compresses it a distance of 11.0 cm before coming to rest. Illustrate what is the force constant of the spring?
The potential at location A is 478 V. A positively charged particle is released there from rest and arrives at location B with a speed vB, Find the potential at B
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