PHYS101-002-HWK 7 8 - Course material PDF

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PHYS 101-002 HOMEWORK #7&8 (Chapter 7&8 in textbook) Due date: 10am Friday 25th October 2019

Tips: •

Draw diagrams, show all your working, use correct number of significant figures, use correct units.

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If you are stuck, look for similar examples in textbook.

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Write your full name on the front of your homework, number the pages, fasten using staple or paperclip.

15.

(I) A 0.145-kg baseball pitched at 31.0 m/s is hit on a horizontal line drive straight back at the pitcher at 46.0 m/s. If the contact time between bat and ball is 5.00 × 10–3 s, calculate the force (assumed to be constant) between the ball and bat.

29.

(II) A 0.280-kg croquet ball makes an elastic head-on collision with a second ball initially at rest. The second ball moves off with half the original speed of the first ball. (a) What is the mass of the second ball? (b) What fraction of the original kinetic energy (DKE/KE) gets transferred to the second ball?

35.

(II) A 28-g rifle bullet traveling 190 m/s embeds itself in a 3.1-kg pendulum hanging on a 2.8-m-long string, which makes the pendulum swing upward in an arc. Determine the vertical and horizontal components of the pendulum’s maximum displacement.

*45.

(II) A radioactive nucleus at rest decays into a second nucleus, an electron, and a neutrino. The electron and neutrino are emitted at right angles and have momenta of 9.6 × 10–23 kg • m/s and 6.2 × 10–23 kg • m/s, respectively. Determine the magnitude and the direction of the momentum of the second (recoiling) nucleus.

*61.

(II) The masses of the Earth and Moon are 5.98 × 1024 kg and 7.35 × 1022 kg, respectively, and their centers are separated by 3.84 × 108 m. (a) Where is the CM of the Earth-Moon system located?

4.

(I) The blades in a blender rotate at a rate of 6500 rpm. When the motor is turned off during operation, the blades slow to rest in 4.0 s. What is the angular acceleration as the blades slow down?

8.

(II) A bicycle with tires 68 cm in diameter travels 9.2 km. How many revolutions do the wheels make?

9.

(II) Calculate the angular velocity (a) of a clock’s second hand, (b) its minute hand, and (c) its hour hand. State in rad/s. (d) What is the angular acceleration in each case?

26.

(II) A person exerts a horizontal force of 42 N on the end of a door 96 cm wide. What is the magnitude of the torque if the force is exerted (a) perpendicular to the door and (b) at a 60.0° angle to the face of the door?...