Problems05

# Problems05 - Chapter 5 Problems 1 2 3 = straightforward...

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Unformatted text preview: Chapter 5 Problems 1, 2 , 3 = straightforward, intermediate, challenging Sections 5.1 through 5.6 1. A force F applied to an object of mass m 1 produces an acceleration of 3.00 m/s 2 . The same force applied to a second object of mass m 2 produces an acceleration of 1.00 m/s 2 . (a) What is the value of the ratio m 1 / m 2 ? (b) If m 1 and m 2 are combined, find their acceleration under the action of the force F . 2. The largest-caliber antiaircraft gun operated by the German air force during World War II was the 12.8-cm Flak 40. This weapon fired a 25.8-kg shell with a muzzle speed of 880 m/s. What propulsive force was necessary to attain the muzzle speed within the 6.00-m barrel? (Assume the shell moves horizontally with constant acceleration and neglect friction.) 3. A 3.00-kg object undergoes an acceleration given by a = 2.00 ˆ i + 5.00 ˆ j ( 29 m / s 2 . Find the resultant force acting on it and the magnitude of the resultant force. 4. The gravitational force on a baseball is - F g ˆ j . A pitcher throws the baseball with velocity v ˆ i by uniformly accelerating it straight forward horizontally for a time interval ∆ t = t – = t . If the ball starts from rest, (a) through what distance does it accelerate before its release? (b) What force does the pitcher exert on the ball? 5. To model a spacecraft, a toy rocket engine is securely fastened to a large puck, which can glide with negligible friction over a horizontal surface, taken as the xy plane. The 4.00-kg puck has a velocity of 3.00 ˆ i m / s at one instant. Eight seconds later, its velocity is to be 8.00 ˆ i + 10.0 ˆ j ( 29 m / s . Assuming the rocket engine exerts a constant horizontal force, find (a) the components of the force and (b) its magnitude. 6. The average speed of a nitrogen molecule in air is about 6.70 × 10 2 m/s, and its mass is 4.68 × 10 –26 kg. (a) If it takes 3.00 × 10 –13 s for a nitrogen molecule to hit a wall and rebound with the same speed but moving in the opposite direction, what is the average acceleration of the molecule during this time interval? (b) What average force does the molecule exert on the wall? 7. An electron of mass 9.11 × 10 –31 kg has an initial speed of 3.00 × 10 5 m/s. It travels in a straight line, and its speed increases to 7.00 × 10 5 m/s in a distance of 5.00 cm. Assuming its acceleration is constant, (a) determine the force exerted on the electron and (b) compare this...
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Problems05 - Chapter 5 Problems 1 2 3 = straightforward...

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