Rope Swing You want to go on a rope swing but you are concerned that the rope (which is 19 m long) might break. The rope is rated for 3648 N. You have determined that at the lowest point of the swing you will be going 20 m/s. Assume your mass is 114 kg. Part 1 of 2 Determine how much tension will be in the rope at the lowest point. Express your answer with the appropriate mks units.
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- Calculate the final speed of the 2.00-kg object that is pushed for d =25.0 m by the F = 50.0 N force on a level, frictionless floor (see the figure below). Assume the object starts from rest. V = ? 2 kg at rest $20° F d 2 kg 1) Calculate the final speed. (Express your answer to two significant figures.) SA conical pendulum has length I and the angle made by the string with vertical is 0 = 20° . The mass of the object is m=179 g. If the speed of the object is v=3.6m/s find the length of the string. Take g=10m/s2. Round your answer to one decimal place. mA 70 kg box is resting on a reclining floor. The coefficient of fricion between the floor and the box is: static = 0.30, kinetic = 0.10. If the floor is to be inclined at an angle of 25 deg a. what would be the acceleration of the object along the direction of the inclined floor? b. what would be the vertical displacement of the box after 1.5 seconds? Express your answer in unit of meters. c. what is the total distance travelled by the box after 1.5 seconds? Express your answer in unit of meters.
- 1. You are conducting an experiment to find the kinetic coefficienct of friction between a 5kg box and a ramp. The ramp has an angle of 25° above the horizontal. You start the box from rest. release it. and let it slide down the ramp. a) If the box starts at a height of 1 meter above the ground. what is the theo- retical value of its velocity at the bottom of the ramp? b) When you do the experiment, you find that the experimental value of the final velocity is 3.5 m/s. How much mechaical energy was “lost”? c) Assume that all of the mechanical energy 'lost' in part b) was due to Friction. Draw a free-body diagram. and determine the magnitude of the Normal Force acting on the box. d) Using the Normal force, determine the co-efficient of friction between the box and the ramp, if the system lost the amount of energy you caculated in part b). Hint: Use the work done by friction.A pendulum is 0.850 m long, and the bob has a mass of 1.00 kg. At the bottom of its swing, the bob’s speed is 1.60 m/s. A) What is the tension in the string at the bottom of the swing? in N B)The tension is greater than the weight of the bob because a- its horizontal component is increasing from zero. b-the bob has a downward acceleration, so the net Fy must be downward. c- the bob has an upward acceleration, so the net Fy must be upward. d- the bob has zero acceleration."roblem 8.54 Part A Determine a formula for the maximum height h that a rocket will reach if launched vertically from the Earth's surface with speed vo(< vesc). Express in terms of vn, TE, ME, and G. Express your answer in terms of the variable vo and constants rE, ME, and G. h = Submit Request Answer Part B How high does a rocket go if 8.45 km/s ? Ignore air resistance and the Earth's rotation. ? h = m Submit Request Answer Provide Feedback P Type here to search lyp
- Question 1 A11.3 kg block is glued to the top of a vertical spring, with spring constant 680. N/m, compressing it a certain distance. A rope is then tied to the block and pulled upwards with a tension of 680. N. How fast is the block going after it's been pulled upward over a total distance of 1.70 m? (Remember that the block is glued to the spring)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)Three forces act at point O as shown. Force F3lies in the x-y plane. Select the expression that denotes a unit vector in the direction of F1 . a. - 1/3 i - 2/3 j - 2/3 kb. - 1/3 i + 2/3 j + 2/3 kc. - 1/3 i + 2/3 j - 2/3 kd. - 1/3 i - 2/3 j + 2/3 k Determine the direction angles (α, B ,y ) for F₂ . a. (103ᵒ , 72.1ᵒ , 22.6ᵒ ) b. (103ᵒ ,108ᵒ , 22.6ᵒ )c. (76.7ᵒ , 72.1ᵒ ,157ᵒ ) d. (103ᵒ , 72.1ᵒ ,157ᵒ ) Determine the angle between F1 and F3 . a. 26.0ᵒ b. 132ᵒc. 90.0ᵒ d. 0
- 4. 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…The spring has a force constant of 5000 N/m, the block has a mass of 6.20 kg, and the height of the hill is 5.25 m. A. Determine the compression of the spring such that the block just makes it to the top of the hill. Assume that there is no friction along the whole path. B. What coefficient of friction is needed along the horizontal plane (of length 2.75m) if the block is to reach only midway up the hill? C. In the same case as (B) where friction is present, at what height along the hill will the speed be 6m/s?A child, m = 25.0 kg, swings from a rope, L = 8.57 m, which hangs above water, d = 1.1 m, when vertical. The child is h = 7.1 m above the water when she begins to swing. Part A: Write an expression for the velocity v of the student at the bottom of the swing. Part B: Assume the child lets go at the bottom of the swing. How long does she take to reach the water, t in seconds?