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- CASE STUDY On planet Betatron, mass is measured in bloobits and length in bots. You are the Earth representative on the interplanetary commission for unit conversions and find that 1 kg = 0.23 bloobits and 1 m = 1.41 bots. Express the density of a raisin (2 103 kg/m3) in Betatron units.No. 21.67 Ka into ma 3.296X10° Km into mm. 4.967 Kg into da S8961m into (m 6.3.45X lo? m/s into Km/hr 7.234x 63Kmlhre into ms 8.233 um into m 9,432x10" Kq into9
- 1%A9 li. t LTET 4G+ Vol) O A X O U 9:-7 Second H.W.pdf 1. Draw and label the vector with these components. Then determine the magnitude and angle of the vector. a- Az = 3 ,A, = -2 b- B, = -2 ,B, = 2 2. What is the speed of horse in meter per second that runs a distance of 1.2 miles in 2.4 minutes? 3. A car moving along X- axis according on the function: X (t) = 2 t2 + 5t +7 on [1,2] Find: a- The average velocity. b- The acceleration at 3s. 4. Julie is walking around a track at a 2m/s for some exercise. She then decides to start jogging so she accelerates at a rate of 0.5m/s? for 3 seconds. How far did Julie travel from the time she started to accelerate to the end of the 3 seconds? 5. Ralph uses a 2000 to do this. force to push his car along a road for 1000 m. It takes him500 s a- Calculate the amount of work that Ralph did on the car. b- Calculate the amount of power that he generated. II3. Watch Segment D (Vectors and Scalars), Segment E (Graphical Resolution of Vectors) and Segment F (Mathematic Resolution of Vectors) at https://www.gpb.org/physics-in-motion (The GPB Physics In Motion video series). Then write answers to the following questions, showing all your calculations. [a] A child with mass Y kilograms (kg) who is skating westward in a hockey rink at Y centimeters per second (cm/s) runs into a friend, also with mass Y kg, who is skating southward at Z cm/s. The children grab onto each other and keep moving across the ice. Draw a diagram of this interaction; label the relevant objects, quantities, and velocity vectors pre- and post- collision. Y =18 kq =mass Z=48 cm/s [b] What is the velocity (magnitude and direction) of the two children after they collide? Your answer should be significant to two digits.1. If vectors P = (2i+ 3j+ 6k) cm and Ŕ = (10i - 5j+ 10k) cm, then what is the A. sum of P and Ŕ? B. difference between P and Ŕ? E. magnitude of Ŕ? F. unit vector in the direction of R C. magnitude of P? D. unit vector in the direction of P? G. scalar product of P and R? H. vector product of P and R? 2. A stone is thrown from the top of a building upward at an angle of 30° with the horizontal with an initial speed of 20 m/s. The height of the building is 45.0 m. A. How long does it take the stone to reach the ground? and B. What is the speed of the stone just before it strikes the ground? 3. A wheel is under a constant angular deceleration of 5rad/s2. Its initial speed is 3rad/s. A. What angular distance in rad, rev and degrees will it travel just before coming to rest? B. How long will it travel just before coming to rest? 4. A block with mass m₁ = 6kg that slides on a table with μk = 0.2 is attached by a massless string over a massless, frictionless pulley to a hanging ball with mass…
- Please help me I need to understand how to solve this problem step by step and give answer in exponential format with 3 significant figures Example: 1.24e2 not in the form 1.23x10^32.In this problem we will observe how the momentum of an electron changes as its velocity approaches the speed of light. The mass of an electron is 9.109 × 10-31 kg Part (a) First, what is the momentum of an electron which is moving at the speed of a car on a highway, say 31 m/s, in kilogram meters per second? Part (b) What is the momentum of an electron moving at 18 % of the speed of light, in kilogram meters per second? Part (c) What is the momentum of an electron moving at 81 % of the speed of light, in kilogram meters per second? Part (d) What is the non-relativistic momentum of an electron moving at this speed (81 % of the speed of light), in kilogram meters per second? Part (e) When the electron is moving at 81 % of the speed of light, how many times greater is the relativistic momentum than the non-relativistic
- 9. Consider the falling object of mass 10 kg in Example 2, but assume now that the drag force is proportional to the square of the velocity. a. If the limiting velocity is 49 m/s (the same as in Example 2), show that the equation of motion can be written as 1 (49² - 1²). 245 dy dt Also see Problem 21 of Section 1.1. b. If y(0) = 0, find an expression for v(t) at any time. Gc. Plot your solution from part b and the solution (26) from Example 2 on the same axes. d. Based on your plots in part c, compare the effect of a quadratic drag force with that of a linear drag force. e. Find the distance x(t) that the object falls in time t. Nf. Find the time T it takes the object to fall 300 m.C. Newton's law of universal gravitation states that two particles exert a pull on each other with magnitude F, ([kg - m/s]) that is proportional to the product of their masses mi ([kg]) and m: ([kg]) and inversely proportional to the square of their separation d ([m]). Write down an equation for Newton's law of universal gravitation and determine the Sl unit of all the proportionality constants you used.14. The mass of a planet is 5.0×10²ª kg and its radius is 6.1×10° m. The energy required for a body of mass 2.0 kg to escape completely from the planet is: A. 1.8 x 105 J С. 1.1 х 108 J В. 5.5 х 107 J D. 2.2 x 10$ J