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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.)
A small metal bead, labelled A, has a charge of 29 nC. It is touched to metal bead B, initially neutral, so that the two beads share the 29 nC charge, but not of necessity evenly. When the two beads are then placed 5.0 {rm cm} apart, the force betwee..
A pipe open only at one end has a fundamental frequency of 214 Hz. A second pipe, initially identical to first pipe, is shortened by cutting off the portion of the open end. Now, as both pipes vibrate at their fundamental frequencies, the beat freque..
Some athletes can put out as much as 800 watts in short bursts. If you could sustain such energy output long enough to reach the top of a mountain, how much time would it take you to get there from the valley, 3000 meters below the peak? So how does ..
The gearshift lever AB for the transmission of a sports car has position vector r whose line of action passes through points A and B. The driver applies the force F to the knob B of the lever to shift gears. Find out the magnitude of the component..
The stairs are 83 long and inclined at the angle of 31. If a player has a mass of 87, estimate his average power output on the way up. Overlook friction and air resistance.
Conclude the magnitude and directional angle
A woman is reported to have fallen 139 ft from a building, landing on a metal ventilator box, which she crushed to a depth of 30 in. She suffered only minor injuries.
A stone is thrown horizontally at a speed of 4.9 m/s from the top of a cliff 89.5 m high, how long does it take the stone to reach the bottom of the cliff.
Two automobiles of equal mass approach an intersection. One vehicle is travelling with velocity 13 m/s toward the east and the other is travelling north with speed v2i. Neither driver sees the other.
Estimate the speed of the water just before striking the turbine blades (overlook air resistance).
Suppose a train engineer is climbing a vertical ladder at a speed of 0.2m/s while the train is slowly coasting east at 0.70 m/s. Find out the vector of the engineer relative to the ground in rectangular notation.
If she is served 200 of coffee at 85 in a well-insulated container, how much ice at 0 must she add to obtain a final temperature of 33.
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