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In compressing the spring in a toy dart gun, 0.9 J of work is done. When the gun is fired, the spring gives its potential energy to a dart with a mass of 0.05 kg.
(a) What is the dart's kinetic energy as it leaves the gun?
(b) What is the dart's speed?
A 7.90×10-2-{rm kg} toy airplane is tied to the ceiling with a string. While the airplane's motor is started, it moves with a constant speed of 1.20m/s in a horizontal circle of radius 0.50m.
An airplane flying horizontally 3600 ft above the ground at 120mi/hh, drops relief aid on the ground. Resolve the angle between the vertical and the line joining plane and target at the instant when he package is released.
A 710 kg car stopped at an intersection is rear-ended by a 1800 kgtruck moving with a speed of 16 m/s. If the car was in neutral andits brakes were off, so that the collision is estimated elasticfind the final speed of the truck. Find the final sp..
A young boy swings a yo-yo horizontally above his head at an angular acceleration of 0.32 rad/s^2. If the tangential acceleration of the yo-yo at the end of the string is 0.15 m/s^2, how long is string.
Three pendulums with strings of the same length and bobs of the same mass are pulled out to angles q1, q2 and q3 respectively and free. The approximation sin q = q holds for all three angles, with q3 > q2 > q1. How do the angular frequencies of th..
A balloon with a radius of 14.00cm and an electric charge of 3.75 × 10-9 C is brought within the electric field of the larger balloon so their centres are 40cm apart. Establish the magnitude of the electric force exerted by this electric field on ..
Two cars are traveling along a straight line in the same direction, the lead car at 25.2m/s and the other car at 31.0m/s. At the moment the cars are 41.9m apart, the lead driver applies the brakes, causing her car to have an acceleration of -2.07m..
What is the velocity of each ball. while both pipes vibrate at their fundamental frequencies, a beat frequency of 15 Hz is heard. How many centimeters were cut off the end of the second pipe? The speed of sound is 343 m/s.
A block is given an initial velocity of 5 m/s up a frictionless 19° incline. How far up the incline does the block slide before coming (momentarily) to rest.
Two equally charged, 1.00 {rm g} spheres are placed with 2.00 {rm cm} between their centers. When free, each begins to acceleration speed at 225 {rm m/s^2}. What is the magnitude of the charge on each sphere.
The masses of the particles are m1 = m3 = 5.0 kg and m2 = m4 = 8.0 kg. Find out the moment of inertia of the system about the z axis.
A circular wire loop of radius 0.50 m lies in a plane vertical to a uniform magnetic field of magnitude 0.40 T. If in 0.10 s the wire is reshaped from a circle to a square, but remains in the plane, what is magnitude of the average induced emf in t..
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