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Q. A child in danger of drowning in a river is carried downstream by a current that flows uniformly with a speed of 2.0 meters per second. The child is 200 meters from the shore and 1500 meters upstream from the wharf where the rescue team sets out. If their boat speed is 8.0 meters per second with respect to the water, at what angle should the driver leave the shore to go directly to the child?
Q. A uniform steel beam has a mass of 1800 kg. On it is resting half of an identical beam. What is the vertical support force at each end?
An airplane is flying with a velocity of 86.0 at an angle of 23.0 above the horizontal. When the plane is a distance 114 straight above a dog that is standing on level ground, a suitcase drops out of the luggage compartment.
Illustrate the role of the Sun's differential rotation in the formation of sunspots. Explain (briefly) the 22 year solar cycle, stating its essential features. Estimate the y-component of magnetic force.
An 825-N sled is pulled a distance of 161 m. The task requires 1.50 ^ 10^4 J of work and is done by pulling on a rope with a force of 137 N. At what angle is the rope held.
The ball is 21.9 m from the goal post. The ball is kicked with an initial velocity of 19.8 m/s at an angle θ above ground. Between what two angles, θ1 and θ2, will the ball clear the 2.74m high crossbar.
Throughout three hours one winter afternoon, when outside temperature was 9° C, a house heated by electricity was kept at 21° C with the expenditure of 46kwh (kilowatt•hours) of electric energy.
An 8.70 block slides with an initial speed of 1.56 down a ramp inclined at the angle of 23.6 with the horizontal. The coefficient of kinetic friction between the block and the ramp is 0.69.
At time a grinding wheel has an angular velocity of 22.0. It has a constant angular acceleration of 33.0 until a circuit breaker trips at time = 2.20. From then on, the wheel turns through an angle of 431 as it coasts to a stop at constant angular de..
A space traveller whose mass is 104kg leaves earth. What are his weight and masson earth and in interplanetary space where there are no near planetary objects.
A 15.0 m uniform ladder weighing 500 N rests against a frictionless wall. The ladder makes a 60.0 angle with the horizontal. Find out the horizontal and vertical forces the ground exerts on the base of the ladder when an 800 N fire-fighter is 4.00m f..
What is the magnitude of the normal force that each brake pad applies to the rim . find the length of the meterstick as measured in frame S1 according to classical physics. Reply in units of m.
A 6.4kg ball, hanging from the ceiling by a light wire 135cm long, is struck in an elastic collision by a 1.80 ball moving horizontally at 4.20 m/s just before the collision. Find the tension in the wire just after the collision.
The origin of the coordinate system and with a label at their heads. Two of these vectors are given in terms of the unit-vectors I and j as
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