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Q. A particle moves along the x axis. Its position is given by the equation 2.00 + 3.00t - 4.00t^2 with x in meters and t in seconds. Find out (1) its position at the instant it changes direction and (2) its velocity when it returns to the position it had at t 0.
Q. A 0.142 kg baseball travelling 47.40 m/s strikes the catcher's mitt, which, in bringing the ball to rest, recoils backward 10.5 cm. What was the magnitude of average force applied by the ball on the glove?
A helicopter is ascending vertically with a speed of 9 m/s. At a height of 200 m above the Earth, a package is dropped from a window. How much time does it take for the package to reach ground.
What current is required in the windings of a long solenoid that has 1710 turns uniformly dispersed over a length of 0.547 m in order to produce a magnetic field of magnitude 0.0002 T at the center of the solenoid.
A loudspeaker of mass 22.0 {rm kg} is suspended a distance of h = 1.60 {rm m} below the ceiling by two cables that make equal angles with the ceiling. Each cable has a length of l = 3.90 {rm m}.
An automobile tire has a radius of 0.330 m, and its centre moves forward with a linear speed of v= 15.0 m/s. Find the angular speed of the wheel.
If the velocity of the car is increased to 50 km/ hour, what is its kinetic energy. if the velocity is improved to 75 km/ hour, what is its kinetic energy.
If the orientation of the spacecraft is to be changed by 30.0°, for what time interval must the gyroscope be operated.
A point charge q1 = -8.9 μC is located at the center of the thick conducting shell of inner radius a = 2.2 cm and outer radius b = 4.5 cm, the conducting shell has a net charge of q2 = 1.1 μC.
A 37-kg girl is bouncing on a trampoline. All through a certain interval after she leaves the surface of the trampoline, her kinetic energy decreases to 215 J from 430 J. How high does she rise during this interval? Avoid air resistance.
What is amplitude of the subsequent oscillations
What is the distance between town and johns present location
Now, as both pipes vibrate at their fundamental frequencies, the beat frequency of 17 Hz is heard. How many centimeters were cut off the end of the second pipe? The speed of sound is 333 m/s.
When a force of 19.0 N is applied to a spring, it elongates 0.0858 m. find out the period of oscillation of a 4.0 kg object suspended from this spring.
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