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Q. Three astronauts, propelled by jet backpacks, push and guide a 120 kg asteroid toward a processing dock, exerting the forces shown in the figure, with F1 = 32 N, F2 = 55 N, F3 = 41 N, θ1 = 30°, and θ3 = 60°. What is the (a) magnitude and (b) angle (measured relative to the positive direction of the x axis) of the asteroid's acceleration?
Q. What must the charge (sign and magnitude) of a particle of mass 1.40 be for it to remain stationary when placed in a downward-directed electric field of magnitude 670?
Use 9.81 for the magnitude of the acceleration due to gravity.
The inside of the cylindrical can shown above has cross-sectional area 0.005 m^2 and length 0.15 m. The can is filled with an ideal gas and covered with the loose cap. The gas is heated to 363K and some is allowed to escape from the can so that re..
Two meteoroids are heading for earth. Their speed as they cross the moon's orbit is 2.3 km/s. The second meteoroid misses for earth by 2680 km. What is its speed at its closest point.
A car travelling at 25.0 {rm m/s} runs out of gas while travelling up a 22.0^circ slope. How far will the car go up the hill before it runs out of gas.
A 16 kg wood ball hangs from a 2 m-long wire. The maximum tension the wire can withstand without breaking is 435 N. A 1.2 kg projectile traveling horizontally hits and embeds itself in the wood ball. What is the largest speed the projectile can ha..
The speed of a sound in a container of hydrogen is 201K is 1220m/s. what would be the speed of sound if the temperature were raised to 405K? suppose that hydrogen behaves like an ideal gas.
Bob, of mass m, drops from a tree limb at the same time that Esther, also of mass m, begins her descent down a frictionless slide. If they both start at the same height above the ground, which is true about their kinetic energies as they reach the gr..
W hat is lumberjacks speed relative to the shore
A severe thunderstorm dumped 2.4 in of rain in 30 min on the town of area 21 km2. What mass of water (in kg) fell on the town? One cubic meter of water has a mass of 103 kg.
A 4.22 box sits at rest at the bottom of a ramp that is 7.74 long and that is inclined at 40.0 above the horizontal. The coefficient of kinetic friction is 0.40, and the coefficient of static friction is 0.50.
A jogger runs 100m due east, then changes direction for the second leg of the run. At the end of the run, she is 350m away from the starting point at an angle of 25.0° north of east. What were the direction and length of her second displacement? Util..
If the orientation of the spacecraft is to be changed by 30.0°, for what time interval must the gyroscope be operated.
A 54 {rm kg} ice skater spins about a vertical axis through her body with her arms horizontally outstretched, making 2.5 turns each second. The distance from one hand to other is 1.5 {rm m}. Biometric measurements indicate that each hand typically..
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