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A cart is propelled over an xy plane with acceleration components ax = 4.0 m/s2 and ay = -2.0 m/s2. Its initial velocity has components v0x = 8.0 m/s and v0y = 10 m/s. In unit-vector notation, what is the velocity of the cart when it reaches its greatest y coordinate?
A daredevil on a motorcycle leaves the end of a ramp with a speed of 39.0 m/s. what is the maximum height that he reaches
A particle executes simple harmonic motion with an amplitude of 7.1 cm. At what displacement (in cm) from the midpoint of its motion will its speed equal one half of its maximum speed?
A super tanker with the mass of 3.36 × 109 kg is moving with a constant velocity. Its engines generate a forward thrust of 4.11 × 105 N. Determine (a) magnitude of the resistive force exerted on the tanker by the water and (b) magnitude of the upward..
A boat with a speed of 10.0 m/s aims directly across a 250-m-wide river. If the water current is 2.00 m/s, how far downstream will the boat be when it reaches the other side
The radioactive isotope has a half-life of 2.60 y and has a half-life of 87.0 days . They each emit positive β- particles or positrons. what will the count rate be at that time
The total translational kinetic energy of the molecules of a sample of gas at 447 K is 1.33 x 10^4 J, Find the average translational kinetic energy of a single molecule
General relativity says that the total orbital energy of the binary system consisting of two neutron stars will decrease over time through the emission of gravitational waves. If this happens slowly sufficient that the orbit stays circular, response ..
State clearly the difference (a) between electric potential and electric field, (b) between electric potential and electric potential energy.
The variable capacitor in the tuner of an AM radio has a capacitance of 2820pF when the radio is tuned to a station at 571kHz. What must the capacitance be for a station
Monkey first notices a lion attacking when the lion is 12.5 m away and moving toward the monkey at a speed of 5 m/s. How long does the monkeys escape last
A 532 nm light wave in vacuum transmits into a glass plate of thickness 1.00 cm and index 1.60, at normal incidence. How many wavelengths span the glass
A 200 kg object and a 500 kg object are separated by 1.2 m. A 150 kg object is placed half way between the two objects, What is the gravitational potential energy of the three masses
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