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A rocket has iniistal mass 120kg and two-thirds of this mass is fuel. The air resistance force is given by F=-0.5v, where v is the velocity of the rocket. The rocket will be launched horizontally on frictionless rails from rest. While burning, the fuel is ejected at the rate of 0.8kg per second. The exhaust velocity of the fuel with respect to the rocket is 70 m/s. The rocket speeds up until the fuel is gone, then air resistance causes the rocket to slow back down. Find the times when the rocket is travelling at half of its maximum velocity. Note that there are two such times, one when the rocket is speeding up, and one when it is slowing back down.
A ballplayer standing at homeplate hits a baseball that is caught by another player at the same height above the ground from which it was hit. How high will the ball rise
A foul ball is hit straight up into the air with a speed of about 25 m/s. How long is it in the air
In the domain of elementary particles, a natural unit of mass is the mass of a nucleon, that is, a proton or a neutron, the basic massive building blocks of ordinary matter. Given the nucleon mass as 1.67 · 10-27 kg and the gravitational consta..
A heater coil connected to a 240-Vrms ac line has a resistance of 45. what is the average power used? What is the maximum value of the instantaneous power?
A 1.6 kg ball is at rest on the floor in a 2.4 m ? 2.4 m ? 2.4 m room of air at STP. Air is 80% nitrogen (N2) and 20% oxygen (O2) by volume. What is the thermal energy of the air in the room
A parallel plate capacitor in air has a plate separation of 1.5 cm and a plate area of 25 cm^2. Determine the charge on the plate after immersion
She notices that the source was prepared 106 days before her lab. What fraction of the decays is she observing with her apparatus?
Calculate the linear acceleration of a car, the 0.340 m radius tires of which have an angular acceleration of 7.0 rad/s2. Assume no slippage
A bomb mass 7.2 kg goes off and splits into 3 pieces. The first piece has a mass of 1.1 kg and velocity of 9.5 m/s. What is the magnitude and direction of the velocity of the third piece
A hawk flies in a horizontal arc of radius 11.7 m at a constant speed 4.70 m/s. Find its centripetal acceleration.
Four railroad cars, each of mass3.00 x 104 kg, are coupled together and coastingalong horizontal tracks at speed vi toward the south. Find the initial speed of the cars
A 4.30-kg ball is dropped from a height of 14.5m above one end of a uniform bar that pivots at its center. The bar has mass 6.50kg and is 4.60m in length. At the other end of the bar sits another 6.00-kg ball, unattached to the bar. The dropped ball ..
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