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Question 1. An arrow is shot vertically upward. Its height p in feet above the ground after t seconds is given by p(t) = -16t2 + 160t + 384. How long does it take to reach its highest point?
Question 2. A particle moves along the x-axis with its position at time t given by x(t) = t3 - 2t + 4. Which of the following is the velocity at time t = 4?
After a tornado, a 0.55-g straw was found embedded 2.8 cm into the trunk of a tree. If the average force exerted on the straw by the tree was 70 N, what was speed of the straw when it hit the tree .
A 370-kg sailboat has an acceleration of 0.87 m/s2 at an angle of 64° north of east. Find the magnitude and direction of the net force that acts on the sailboat.
A cosmic-ray proton in interstellar space has an energy of 17.0 MeV and executes a circular orbit having a radius equal to that of Jupiter's orbit around the Sun (7.78 x 10^11 m). What is the magnetic field in that region of space.
The resistance of a copper wire of length L meter is 0.1 ohms. If the diameter of the wire is 0.045cm, find out its specific resistance.
What is an average power output of the laser. What is the rms value of the electric field in the beam.
A wheel 45.0 cm in diameter accelerates uniformly from 206rpm to 340 rpm in 7.0 s. How far will a point on edge of the wheel have travelled in this time.
An elastic cord is 66 cm long when a weight of 66 N hangs from it but is 86 cm long when a weight of 76 N hangs from it. What is the "spring" constant k of the elastic cord.
With the power supply disconnected, the dielectric material is removed and the potential difference between the plates is measured to be 500 V. What is the dielectric constant of the material that was at first used to fill the gap between the plates.
A cube of ice is taken from the freezer at -9.4°C and placed in a 94 g aluminium calorimeter filled with 315 g of water at room temperature of 20°C. The final situation is observed to be all water at 19°C. What was the mass of ice cube.
A cart mass M moves on a frictionless track. It is attached to a string, which goes over a pulley wheel & has a mass m hanging from it. At t=0 s the cart starts from rest & accelerates. Find the tension in the sting & acceleration of the cart.
A 1500 {rm kg} wrecking ball hangs from a 20 {rm m} long cable. The ball is pulled back until the cable makes the angle of 17.0^circ with vertical.
A gas expands from I to F. The energy added to the gas by heat is 442 J when the gas goes from I to F along the diagonal path. What is the change in internal energy of the gas.
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