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Q1. A spelunker is surveying a care. He follows the passage 100 meters straight east, then 50 meters on a direction 30 degree west of north, then 150 meters at 45 degree west south. After a fourth unknown displacement he finds himself back where he started. Determine the magnitude and direction of the fourth displacement.
Q2. A 3 kg object id released from rest at a height of a 5 meter curved frictionless ramp. At the foot of the ramp is a spring force constant of k= 400n/m the object slides down the ramp and onto the spring compressing it to the distance x before coming momentarily at rest. What is x?
Suppose that all movement occurs in a straight line up and down along the y axis. Find out the muzzle velocity of the ball (i.e., the velocity of the ball at spring's equilibrium position).
If the 2 kg mass slides on a horizontal frictionless surface, what is the speed of the mass 4 kg while it has fallen a distance 0.4 m downward from its rest position.
A small turtle moves at a speed of 165 furlongs per fortnight. Find out the speed of the turtle in centimeters per second. Note that 1 furlong = 220 yards and 1 fortnight = 14 days.
110 grams of boiling water (temperature 100° C, heat capacity 4.20 J/gram/K) are poured into an aluminum pan whose mass is 1000 grams and initial temperature 24° C (the heat capacity of aluminum is 0.9 J/gram/K).
A ship sets out to sail to a point 197 km due north. An unexpected storm blows the ship to a point 107 km due east of its starting point. In what direction must it now sail to reach its original destination.
You (height of your eyes above the water, 1.75) are standing 2.00 from the edge of a 2.50--deep swimming pool. You notice that you can barely see your cell phone, that went missing a few minutes before, on the bottom of the pool.
Find out the drill's angular acceleration. Determine the angle through which the drill rotates all through this period.
A spring stiffness 900 N/m and relaxed length 1m stands vertically on a table. You hold a block of mass 1 kg barely touching the top of the spring. Assume you let the mass down onto the spring certain distance very slowly and view the mass is not mov..
For a rough calculation, we shall assume that the doctor is 50 from the baby (she is likely to be even closer at delivery), has a mass of 75.00, and can be modelled as a uniform sphere.
What is the coefficient of static friction
A ranger in a national park is driving at 59 km/h while a deer jumps onto the road 61 m ahead of the vehicle. After a reaction time of t s, ranger applies the brakes to produce an acceleration of -3 m/s2. What is the maximum reaction time allowed if ..
Find out the tension in the rope
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