A cart, of mass m, is released at the top of a ramp of distance d and height h as shown. Neglect backwards friction and drag. Calculate the final speed (1vel) in each of the following cases. m [kg] h [m] d[m] vel [m/s] 0.4 1.6 2 4 2 2 4 0.4 0.80 0.4 0.80 1.6 1.6 3.20 3.20 h reference level d
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- You are playing a game and you push a cart to give it in. speed. The cart starts at the bottom (zero) of a ramp and after reaching the top of the ramp, the cart travels across a horizontal track w/ friction. The mass of the cart is 44 x 10^-3 kg. The ramp is 56 cm high. The length is 70 cm. What can you infer of the intial speed in (m/s)At the Earth's surface, a projectile is launched straight up at a speed of 7.7 km/s. To what height will it rise? Ignore air resistance. 3.00E6 X Your response differs from the correct answer by more than 10%. Double check your calculations. m Need Help? Read ItA0.28-kg rock is thrown vertically upward from the top of a cliff that is 31 m high. When it hits the ground at the base of the cliff, the rock has a speed of 30 m/s . You may want to review (Pages 234 -241) - Part A Assuming that air resistance can be ignored, find the initial speed of the rock. Express your answer using two significant figures. ? m/s Submit Requeet Answer Part B Find the greatest height of the rock as measured from the base of the cliff. Express your answer using two significant figures. Hmar = Submit Requeet Anewer
- A 60.0 kg skier with an initial speed of 15 m/s coasts up a 2.50 m high rise as shown in the figure. a. Find her final speed right at the top, in meters per second, given that the coefficient of friction between her skis and the snow is 0.36.A box with mass 5.00 kg starts sliding down a ramp (1.00 m long) which is inclined at an angle 30.0°as shown in Figure. Initially, the box was at rest and it experiences a frictional force of 8.00 N while sliding down until it reaches the bottom of the ramp. What is the speed (in m/s) of box at the bottom of the ramp? d. 30° O a. 2.61 Ob.2.53 OC. 2.68 d. 2.83A bowling ball is dropped from the top of a building that has a height of h = 104 m. a. Assuming air resistance is negligible, what is the ball's speed, vf in m/s, when it strikes the ground? b. If drag produces an opposing force of 10 N while the ball's falling, what is the ball's speed, vf in m/s, when it strikes the ground? Assume the ball has a mass of 5 kg. c. A different ball was dropped and the final speed was measured to be vf = 8.5 m/s while the drag force was measured to be 50 Newtons. What is the mass of this ball in kg?
- A sled and a rider together have a combined mass of 87 kg. They slide from rest down a frictionless hill elevated at 0=30° for a distance d 45 m to reach the bottom. Find the speed at the bottom of the hill. (g 10 m/s²) %3D A. 20 m/s B. 15 m/s C. 21.2 m/s D. 18.7 m/s 1. E. 30 m/s OB 00 O O4. A 70 Kg athlete leaps straight up into the air from a trampoline with an initial speed of 7.0 m/s. Take y = 0 to be the position the athlete leaves the trampoline and ignore air resistance. how shoqes di nwob edhW (1 912 a. What is the maximum height the athlete reaches? Step 1) Draw a picture and list the value of all variables at the athlete's starting position and ending position. .£q912 ni nolicups or otni gulą of been woy z9ulev ri telual 10 11J (S 9912 Step 2) Is energy conserved? Yes = write the conservation of energy equation. No write the equation for non- conserved work. 102 (E 9912 nobil yd snob how s Step 3) Plug in values to the equation from step 2 and solve for maximum height. srij 11 m 0.00 to trigisil s of brucny ont moit siqaq to llut 101 Serler abin Toravste srit gnol wor 1010 smit tot svioz uoy tel lliw tens potten b. Solve this problem with kinematic equations and confirm the answers are the same. 0.000,21 A (8 21 (1 q912 Aitnsbl (S q912 smils sris tol svio2 (8…In the potential energy experiment. If the kinetic energy of the system composed of masses m, and m2 is 0.648 J. Given that the masses are moving at a speed of 1.23 m/s find the mass of the cart m, ( in units of kg) when m2= 110 g. т, m2 Select one: O A. 1.054 O B. 1.071 O C. 0.747 O D. 0.857 O E. 0.318
- The force exerted by Q₁(3.0m, 3.0m, 3.0m) = 1.0 μC on Q₂(6.0m, 9.0m, 3.0m) = 10. nC is equal to: O a. F12 (1ax + 1.2ay) μN O b. F12 = (-1ax – 1.8ay) uN O c. F12 (0.89 ax + 1.8ay) μNSubstituting, for the coefficient of kinetic friction, we find Xn = 0.25 3 6 m m +); 2 10 (2 451 N/m) ( 0.36 9 ) (25/ 06-6) (CM (ત્ર m m X ney Pi1991 fan of ap by ne anen f S OXMarbles of mass mm are thrown from the edge of a vertical cliff of height h at speed v0. a)Neglecting air resistance, how fast (in terms of m, h, and v0) will these marbles be moving when they reach the bottom of the cliff if they are thrown straight up? b)Neglecting air resistance, how fast (in terms of m, h, and v0) will these marbles be moving when they reach the bottom of the cliff if they are thrown straight down? c)Neglecting air resistance, how fast (in terms of m, h, and v0) will these marbles be moving when they reach the bottom of the cliff if they are thrown horizontally away from the cliff?