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1. An airplane propeller has a diameter of 2 m. At 3000 rpm, calculate the speed of the tip of the propeller and the centripetal acceleration at the tip. Express your answers in terms of (1) the sound speed in air (340 m s-1 ) and g (10 m s-2 ). 2. The same propeller speeds up from 1000 rpm to 3000 rpm in 2 seconds. a. Calculate the angular acceleration (assumed constant). b. How many revolutions does the propeller make during this time? c. Calculate the tangential acceleration at the tip and compare to the centripetal acceleration (at 3000 rpm) calculated above. What is the magnitude and direction of the total acceleration vector? 3. A cannon on a horizontal battlefield fires a ball at a speed of 30 m s-1 . The cannon is angled at 30 degrees to the horizontal. a. What are the initial components of the cannonball velocity? b. How long does it take for the ball to reach its maximum height? c. What is the maximum height reached? d. How long does it take for the cannonball to hit the ground? e. How far does it travel horizontally? 4. A baseball leaves a bat at a height of 1 m above the ground, at a speed of 50 m s -1 and an angle of 20 degrees (measured upward from the horizontal). a. How long does the ball spend in the air (i.e. above ground level)? b. Does it make it to the outfield wall (130 m distant)? If so, how long does the ball take to travel to the outfield wall? c. What altitude does the ball have at this time? Does it clear the 5 m high outfield wall for a home run? 5. A ball is thrown at a speed of 25 m s -1 at an angle of 53.1o (measured upward from the horizontal) from the top of a 25 m tall cliff. a. What are the initial components of the velocity vector? b. What is the maximum height reached by the ball, and when does it reach it? What is the distance from the release point at this time? c. What are the components of the velocity when the ball hits the ground? d. What is the ball's speed when it hits the ground? e. How far from the base of the cliff does the ball land?
Neglect air resistance during the descent. She comes to rest 3.00 m under the surface of the water. Identify the average force that the water exerts on the diver. This force is nonconservative.
In the following exoergic nuclear reaction, 12D + 13T ? 01n + 24He. what percentage of the initial mass is converted into energy
A 56.0kg cheerleader uses an oil-filled hydraulic lift to hold four 110kg football players at a height of 1.30m. find the diameter of the football players' piston
A speedboat starts from rest and accelerates at +2.01 m/s2 for 6.95 s. At the end of this time, the boat continues for the additional 5.70 s with an acceleration of +0.518 m/s2. Following this, the boat accelerates at -1.49 m/s2 for 8.20 s.
A uniform electric field exists in a region between two oppositely charged plates. find the speed of the electron as it strikes the second plate
An electric utility company supplies a customer's house from the main power lines (115V) with two copper wires, Calculate the power lost in the copper wires
In a severe storm, 1.05 cm of rain falls on a flat horizontal roof in 31.0 min. obtain the average force exerted on the roof by the rain
An object is thrown vertically upward with an initial velocity of 14.7m/s, how long does it take for the object to be 9.8m from its initial position
A slender, 470- g bar magnet 20.0 cm long has a magnetic moment of 5.60 A m2. It is held at an angle of 45o to the direction of a uniform magnetic field.
In the absence of a nearby metal object, the two inductances LA and LB in a heterodyne metal detector are the similar, Find by what percentage does the buried object reduce the inductance of the search coil
A 3.00-kg block is connected to two ideal horizontal springs having force constants k1 = 28.0N/cm and k2= 19.0N/cm What is the maximum speed of the block
Sue and Sean are pushing on opposite sides of a 5.0kg box which is on a frictionless surface. What is Sean's force if the box accelerates away from Sue at 2.0m/s^2
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