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Q. A placekicker is about to kick a field goal. 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? (Hint: The following trigonometric identities could be useful sec θ = 1/(cos θ) and sec2 θ = 1 + tan2 θ.)
The latent heat of fusion
A pump, submerged at the bottom of a well that is 34 m deep, is used to pump water uphill to the house that is 50 m above the top of the well, as shown above. All pressures are gauge pressures. Avoid the effects of friction, turbulence, and viscosity..
In the figure, suppose that the separation between speakers A and B is 5.90 m and the speakers are vibrating in phase. They are playing identical 110-Hz tones, and the speed of sound is 343 m/s.
Two people push a stalled car at its front doors, each applying a 260 N force at 25 degree to the forward direction. How much work does each person do pushing car 5.5 m.
A copper telephone wire has essentially no sag between poles 20.5 meters apart on a winter day while the temperature is -15.5° C. How much longer is the wire on the summer day when the temperature is 27.0° C.
How long does it take an automobile travelling 56.50 km/h to become even with a car that is travelling in another lane at 36.50 km/h if the cars' front bumpers are initially 148m apart.
A uniform plank of length 4.50 m and weight 275 N rests horizontally on two supports, with 1.1 m of the plank hanging over the right support. To what distance x can a person who weighs 456 N walk on the overhanging part of the plank before it just be..
The speakers produce the same single-frequency tone in either drawing and are in phase. The speed of sound is 343 m/s. Find the single smallest frequency that would produce both constructive interference in drawing 1 and destructive interference in d..
2.0 kg ball moving with a speed of 3.0 m/s hits, elastically, an identical stationary ball as shown. If the first ball moves away with angle 30° to the original path,
An open-pit coal mine consumes 96 hectares of land, down to the depth of 26 m, each year. What volume of earth, in cubic kilometres, is removed in this time.
What is distance of a sample of blood from the rotation axis
A laboratory ultracentrifuge is designed to produce a centripetal acceleration of 5.0 x 10^6 g at a distance of 4.00cm from the axis. What angular velocity in rev/min is necessary.
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