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The rope of a swing is 3.00 m long. Calculate the angle from the vertical at which a 83.0 kg man must begin to swing in order to have the same KE at the bottom as a 1500 kg car moving at 1.25 m/s (2
As a result, each object experiences an electrostatic force that has a magnitude of 1.01 × 10-20 N. How many electrons did it take to produce the charge on one of the objects?
A 1.30 kg box slides down a rough incline plane from a height h of 1.87 m. The box had a speed of 2.33 m/s at the top and a speed of 1.90 m/s at the bottom. Calculate the mechanical energy lost due
Calculate the change in potential energy of a 88.4 kg man when he takes an elevator from the first floor to 33th floor, if the distance between floors is 3.93 m.
(a) Determine the net force exerted on q1 by the other two charges. (b) If q1 had a mass of 1.50 g and it were free to move, what would be its acceleration?
An electron of mass 9.11x10^-31 kg has an initial speed of 2.40x10^5 m/s. It travels in a straight line, and its speed increases to 6.80x10^5 m/s in a distance of 4.80 cm. Assume its acceleration i
A train with proper length of 200m is traveling at the speed of 120km/hr. An observer on the ground sees two lightening striking the two ends of the train at exactly the same time. What is the time
What is the minimum coefficient of friction between tires and road that will allow cars to take the turn without sliding off the road? (Assume the cars do not have negative lift.)
A 5.0 g ice cube at -20Degree Cis in a rigid, sealed container from which all the air has been evacuated.
Three point charges lie along the y axis. A charge of q1 = -9.28 µC is at y = 6.26 m, and a charge of q2 = -7.56 µC is at y = -3.66 m. Where must the third positive charge, q3, be place
A plant falls from the windowsill of an apartment in a very tall building. If the floor of your apartment is 33.53 m above the ground, and it takes the plant 0.4760 seconds to cross your 9 ft windo
A projectile passes point A with a velocity v, upward. At some time later, the projectile passes point B, with a velocity (v/2) upward. In terms of v and the acceleration due to gravity g, (a) how l
Find the average acceleration till burnout (the time at which the propellant is used up; assume the mass flow rate is constant until that time).
How much power is required to operate the machine when the dome potential is 3.0 MV, assuming the rate of charge transfer remains constant?
Two point charges -2Q and +3Q are on the x-axis, -2Q at the origin and +3Q at x = D. Choose the potential to equal zero at infinity.
If the down going elevator comes to rest with a constant deceleration over a distance of 4.4 m, what is the magnitude of the force the elevator floor exerts on the man?
A spring is first stretched 2.0 cm from its unstressed length. It is then stretched an additional 2.4 cm. How does the work required for the second stretch compare to the work required for the first
An object initially has kinetic energy K. The object then moves in the opposite direction with 13 times its initial speed. What is the kinetic energy now (in terms of the initial kinetic energy K)?
A car with a flat top contains a 3.2-cm thick piece of ice lying on its top. Determine how fast this car must travel through still (0?C) air if the piece of ice is to lift off the car. Assume that o
The plank is displaced by a small angle ? from its horizontal equilibrium position and released. Find the angular frequency with which the plank moves with simple harmonic motion. (Use any variable
If the drain is now opened, determine how fast the water will pour out of the drain. (a) 9.80 m/s (b) 9.85 m/s (c) 9.90 m/s (d) 9.95 m/s (e) 10.0 m/s (f) None of the above.
The average density of a person is about 1010 kg/m3. If a 202-lb person (in air) is fully submersed in a pool of water and stepping on a bathroom scale, what will be the reading on that scale? (a) 2
When an aluminum object is fully submersed in a pool of oil (with density 700 kg/m3) and place on a scale at the bottom of the pool, the scale reads 980 N. If this same object is fully submersed in
The distortion of the Earth's crustal plates is an example of shear on a large scale. A particular crustal rock has a shear modulus of 1.5 × 1010 N/m2. Determine the shear stress involved when
For safety in climbing, a mountaineer uses a nylon rope that is 50 m long and 1.0 cm in diameter. When supporting a 90-kg climber, the rope elongates 1.6 m. Determine the Young's modulus for this ny