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Q1. Kathy Kool buys a sports car that can accelerate at the rate of4.21 m/s2. She decides to test the car by racing with another speedster, Stan Speedy. Bothstart from rest, but experienced Stan leaves the starting line .68 s before Kathy. Stan moves with a constant acceleration of3.14 m/s2, and Kathy maintains an acceleration of 4.21m/s2.
(a) Find time it takes Kathy to overtake Stan.(b) Find distance she travels before she catches him.(c) Find speeds of both cars at the instant she overtakes him.
Q2. An airplane is flying with a velocity of 93at an angle of 25 above the horizontal. When the plane is a distance 103 directly above a dog that is standing on level ground, a suitcase drops out of the luggage compartment.
A loudspeaker of mass 18.0 {rm kg} is suspended the distance of h = 1.20 {rm m} below the ceiling by two cables that make equal angles with the ceiling. Each cable has a length of l = 2.70 {rm m}. What is the tension T in each of the cables? Utili..
A horse races once around a circular track in a time of 118s, with a speed of 17 m/s. What is the radius of the track? How do you go about solving this.
Calculate the power required by an object to lift another object
When the plunger is pushed, contents of the syringe are forced throughout a hollow needle (also of circular cross-If a 4.0 N force is applied to plunger and diameters of the plunger and the needle are 1.20 cm and 2.50 mm, correspondingly, what force ..
The kinetic friction force between surface and disk slows down its linear motion while at the same time making the disk spin on its axis at an accelerating rate. Finally, the disk's rotation catches up with its linear motion, and disk begins to roll ..
Consider two dimensional simple triangular lattice for free electron metal with two electrons per atom. Assume the lattice constant is a, find the areas electron and hole pockets that are formed in the second and first Brillouin zones respectively. F..
An athlete starts at point A and runs at a constant speed of 6m/s around a round track 100 m in diameter, what is x component of this runner's average velocity between points A and B.
A 0.39 kg iron horseshoe that is initially at 745°C is dropped into a bucket containing 24 kg of water at 46°C. What is the final equilibrium temperature? Neglect any heat transfer to or from the surroundings.
A 3.57 kg block is drawn at constant speed 4.06 m along a horizontal floor by a rope exerting a 7.68 N force at angle of 15 degree above the horizontal. Work out the coefficient of kinetic friction between block and floor.
The longest "string" (a thick metal wire) on a particular piano is 3.0 m long and has a tension of 300.0 N. It vibrates with a fundamental frequency of 27.5 Hz. What is the total mass of the wire.
A 25.0g arrow is shot through a 7.8 cm apple. If the arrow enters the apple at 38.8 m/s and emerges with a speed of 30.10m/s in the same direction, what is the magnitude of force with which the apple has resisted the arrow.
Calculate the centripetal force on the motorcycle.
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