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I Four forces are exerted on the object shown in FIGURE P3.44. (Forces are measured in newtons, abbreviated N.) The net force on the object is
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Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
- A 56-kg student runs at 4.2 m/s, grabs a hanging 10.0-m-long rope, and swings out over a lake (Figure 1). He releases the rope when his velocity is zero. a.)What is the angle θ when he releases the rope? Express your answer to two significant figures and include the appropriate units. b.)What is the tension in the rope just before he releases it? Express your answer to two significant figures and include the appropriate units. c.)What is the maximum tension in the rope during the swing? Express your answer to two significant figures and include the appropriate units.arrow_forwardA projectile of mass 0.75 kg is shot straight up into the air with an initial speed of 20 m/s. a. How high would it go if there were no air resistance? b. If the projectile rises to a maximum height of 12 m, determine the magnitude of the average force due to air resistance.arrow_forwardProblem 5: An object of mass m has these three forces acting on it (there is no normal force, "no surface"). F = 3 N, F2 = 10 N, and F3 = 5 N. When answering the questions below, assume the x-direction is to the right, and they-direction is straight upwards. F, F What is the net force in component form, in terms of F1, F2, F3, and the unit vectors i and j F = 7 8 HOME a F| i j 4 5 y d. F1 1 | 2 3 F2 F3 +| - END h P vol BACKSPACE DEL CLEAR Submit Hint Feedback I give up! What is the magnitude of the net force, in newtons? What is the angle e, in degrees, of the net force, measured from the +x-axis? Enter an angle between -180° and 180°. What is the magnitude, Ja of the acceleration, in meters per square second, if the block has a mass of 8.9 kg?arrow_forward
- In God of War, Kratos pushes a canoe with his son in it across the sand towards water. Kratos applies a force of 751. N in the positive direction while friction causes a 395. N horizontal force is applied in the opposite direction. What is the net force on the boat?arrow_forwardUse the following constants if necessary. Coulomb constant, k = 8.987 × 10º N · m² /C². Vacuum permitivity, €o = 8.854 × 10-12 F/m. Magnitude of the charge of the electron, e = -1.60217662 × 10–19 C. Mass of the electron, me = 9.10938356 x 10–31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb . +Y (8, –7), q2 = -48 µC at p2 = (-8, 11) and q3 = 21 µC at Coordinates of three charges in a 2D plane is given as follows: q1 = 39 µC at p1 P3 = (-14,9). These coordinates are given in centimeters.arrow_forwardWhat net external force (in N) is exerted on a 1250-kg artillery shell fired from a battleship if the shell is accelerated at 2.60 x 104 m/s²? (Enter the magnitude.) N What is the magnitude (in N) of the force exerted on the ship by the artillery shell?arrow_forward
- 2.6.2 Force Resultant in 3-D F₂ = 2 KN 60 60° Express each force in Cartesian vector form. 45 F₁ = 5 KN O F₁ = (2.50 i +3.54 j +2.50 k) kN, F₂ = −2 j kN Ο O F₁ = (2.17i+3.75 j +4.33 k) kN, F₂ = -2 j kN F1 O F₁ = (4.33 i +3.75j +2.17 k) kN, F₂ = -2 j kN O F₁ = (4.33 i +3.54j+4.33 k) kN, F₂ = -2 j kNarrow_forwardThree blocks on a frictionless horizontal surface are in contact with each other, as shown. A force of 24 N is applied to block 1. mq =1.0 kg, m2 = 2.0 kg, and m3 = 3.0 kg. Use g = 10 m/s2. Match the questions with answers. v Normal Force on block 2 by block 1 A. 24 N, to the left v Normal Force on block 1 by block 2 B. 20 N, to the left v Normal Force on block 3 by block 2 C. 20 N, to the right v Normal Force on block 2 by block 3 D. 12 N, to the right E. 12 N, to the left F. 0 G. 8.0 N, to the right H. 24 N, to the right I. 8.0 N, to the leftarrow_forwardA 10000 N car comes to a bridge during a storm and finds the bridge washed out. The 650 N driver must get to the other side, so he decides to try leaping it with his car. The side the car is on is 24.0 m above the river, while the opposite side is a mere 5.00 m above the river. The river itself is a raging torrent 60.0 m wide. A.How fast should the car be traveling just as it leaves the cliff in order to clear the rìver and land safely on the opposite side? B. What is the speed of the car just before it lands safely on the other side?arrow_forward
- The surface of a pool table is h=0.710 m from the floor. The winner of a competition wants to know if he has broken the world speed record for the break shot of 32 mph (about 14.3 m/s). A. If the winner’s ball landed d=4.95 m from the table’s edge, calculate the speed of his break shot v0. Assume friction is negligible. B. At what speed v1 did his pool ball hit the ground? Image is attached below. Please show all work.arrow_forwardA 137 kg boat is trying to go, from the origin (as shown in the figure), straight across the river at a speed 0.7198 m/s in the y-direction. The current in the river, however, flows to the right and apply a net force of 100 N (x-direction). a) What is the position vector of the boat after 2 seconds. b) What is the velocity of the boat after 3 seconds. Vboat,y Initial position of the boat is: Ij = +arrow_forwardA particle of mass begins to move at t = 0) from point r(t = 0) = at velocity e(t = 0) = t. The particle moves along the axis in 1 dimensional motion. The only external force acting on the body during its motion is drag force due to air resistance which is quadratically proportional to the velocity of the particle: F₁ = -² where c is a known real and positive constant. a. Which function describes the velocity of the body as a function of time (A and a are real and positive constants)? Hint: write down the equation of motion in terms of the velocity and its derivatives, and check which of the following function is a solution to this equation. O a. O b. OC. Ae-at O d. Asin(at) Oe. at +A Of Ae b. Find the constants A and a. O a. A=t, a== O b. Acto, a = A of3 O d. Aa= A 1+1 Oc. A t,a== C m Of A-cre, a= O a. O b. Oe. At, a=-= O f c. Find the acceleration of the body as a function of its position coordinater. O C. C₂ 171 m O a zo to Ob O d. (x Oc =e 171 m 778 Oe. cro _ ಆಫ್ ಟೆ + m m C-(-3)…arrow_forward
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