Solve all the following problems MATHEMATICALLY using your calculator. Show all work. Remember, the resultant vector must have both magnitude and direction (an angle). 5. A boat is heading across a river at a velocity of 25 mph. The river is flowing downstream at 10 mph. What is the actual velocity of the boat?

Q: Particles of charge +65, +48, and −−95 μC are placed in a line (Figure 1). The center one is L = 40…

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Q: Consider a soccer ball that has been kicked from a witches' cone of height 0.05m. Relative to…

A: Projectile motion :- It is motion in which body moves in 2 dimensional.

Q: A = 35 m, -45° B= 70 m, 35° South of West C = 30 m, 25°, North of East Using the given vectors,…

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Q: 12) Two forces are applied to a tree stump to pull it out of the ground. One force, F, has magnitude…

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Q: Galileo used inclines similar to the one shown below to measure the distance balls of various…

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Q: Below table contains position-time data for a runner during the last 0.25 s of a 100 m sprint. Time…

A: Concept: The slope of the graph gives the runner's velocity at 9.83 seconds. The runner's velocity…

Q: A copper wire 2.5 mm in diameter is 4 m long and is used to suspend a 2.0 kg mass from a beam. If a…

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Q: Calculate (a) the x-component and (b) the y-component of the vector with magnitude 24.0 m and…

A: Given data:  Magnitude of a vector (A) = 24.0 m Direction (θ) = 56.0° Required: The x-component and…

Q: Two sets of electrostatic force data are shown below (Figure 1) (Figure 2). Perform calculations to…

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Q: 4. How do two objects with like charges interact? What is the evidence from your investigations?

A: Required How do two objects with like charge interact.

Q: A long, very smooth board is inclined at an angle of 10 with the horizontal. A weight starts from…

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Q: The contraction of the left ventricle of the heart lasts for 250 ms and the blood speed after…

A: Given - The contraction time of the left ventricle of the heart ( ∆T )=250 ms=250×10-3 s The rate…

Q: A proton is released in a uniform electric field, and it experiences an electric force of 2.04×10−14…

A: Given data:  Proton released in uniform electric field Electric force (F) = 2.04×10-14 N, towards…

Q: QUESTION 4 Find the acceleration in Pm/s² (1P = 1015) for the electron in problem 22.48.a. using a…

A: 4) particle = electron magnitude of charge on electron (q) = 1.6×10-19 C charge density (σ) = 3.54…

Q: A wheel on a tractor has a 32-inch diameter. How many full revolutions does the wheel make if the…

A: Given data:  Diameter (d) = 32 inch Total distance traveled (d) = 7 miles Required: Number of…

Q: Find the resultant and Ø of the concurrent force system shown 300N 45° 200N 60° 2 1 30° 100N 400N

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Q: What relationship exists between the period of the pendulum and its length?

A: Required:  The relationship between the period of the pendulum and its length

Q: While vacationing in the prairie you go on a nature walk. First you walk 160 m south, then a coyote…

A: first leg of displacement = 160 m due south second leg of displacement = 260 m , southwest third leg…

Q: For that same separation assuming that those charges are on masses of 1 gm each, what is the…

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Q: A charged rod of total length 3.7 m lies centered on the x axis as shown (the L indicated in the…

A: Given data-  Total length of charged rod =3.7 m  Value of L=1.85 m Charge density λ=ax2 , a=-87.3…

Q: An initially stationary box of sand is to be pulled across a floor by means of a cable in which the…

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Q: Let vector E = (4 i + 4 j) and vector F = (3 i - 9 j). Find the magnitude of E + F.  Find the…

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Q: 15) (ex) You hike to a position 7.0 miles from the origin, at an angle of -35 degrees (or 325…

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Q: What is the magnitude of the force a +30 μC charge exerts on a +2.9 mC charge 48 cmcm away? Express…

A: Given data:  Two charges q1 = +30 μC and q2 = +2.9 mC Distance between charges (r) = 48 cm Required:…

Q: Create and complete a table with your answers for the runner. A runner has an  initial velocity of…

A: Given:-  The initial velocity of the runner is u = 3.5 m/s from time t=0 to t=5sec From t=5 to t=10,…

Q: 17) You fly from Airport 1 to Airport 2, 32.0 miles at an angle of 25.0° N of E. From there you fly…

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Q: A bowler runs in at 10 m.s and bowls a cricket ball at a tangential velocity of 40.5 m.s. The arm…

A: a bowler runs at a speed of 10 mstangential velocity of cricket ball = 40.5 mslength of arm (r) =…

Q: Four identical metallic spheres with charges of +1.4 μC, +1.8 μC, -5.8 μC, and -5.2 μC are placed on…

A: We know from concept of distribution of charge When two charged objects get into contact, charge is…

Q: A clown is juggling four balls simultaneously. Students use a video tape to determine that it takes…

A: When the ball returns to the hand, the initial height and final height become equal. Apply the…

Q: Vector A has y-component A, = +14.0 m. A makes an angle of 32.0° counterclockwise from the +y-axis.

A: Given data:  Y-component of the vector A Ay = +14.0 m Angle (θ) = 32.0°, counter-clockwise from…

Q: 1. Assuming that you are moving with a constant speed of 0.55c when you passed by a man on the…

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Q: Problem 3: The identical small spheres shown in Fig.3 are charged to +100 nC and -100 nC. They hang…

A: The steps are given in your hind. I will execute all those steps in image attached below.

Q: Explain using your own reasoning why the electric field does not depend on the distance away from…

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Q: Red blood cells can often be charged. Consider two red blood cells with the following charges: -21.4…

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Q: Practice Exercise 2.2 A balloon is rising vertically at 4.0 m/s. Wind is blowing from east to west…

A: Disclaimer: “Since you have asked multiple question, we will solve the first question for you. If…

Q: the speed of sound indry airts 666-739 knots. what is the seed of sount in the seconds ਦਿਲ certy

A: The SI Unit of speed is metre per second.

Q: When did the world know fusion existed? Select one: A. 1920 B.2000 C.1980 D.1960

A: The most prevalent reaction in our observable universe is fusion, which also fuels our Sun and other…

Q: Give an everyday example of circular motion for which the centripetal acceleration is mostly or…

A: The definition of a force is a specific kind of push or pull that is provided to a body and allows…

Q: An electric field E=(2.50×105 N/C, right) causes the 2.0 g ball in (Figure 1) to hang at an angle.…

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Q: A wave field is observed by satellite. The wave lengths are determined to be 312 m in deep water and…

A: Write the expression for the speed in deep water.

Q: Three charged marbles, labeled 91, 92, and 93, are oriented such that 92 is between 9₁ and 93. The…

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Q: A proton is released in a uniform electric field, and it experiences an electric force of 2.04×10−14…

A: Given data:  A proton released in uniform electric field Electric force (F) = 2.04×10-14 N, toward…

Q: Problem#2: Compute for the moments brought about by F and by P at points A, B, and C given F = 450 N…

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Q: Please solve d and e

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Q: Which of the following shows a position graph of a person moving at at a constant positive velocity…

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Q: Two straight, parallel, superconducting wires 7.06 mm apart carry equal currents of 12958 A in…

A: As

Q: A vector has an x-component of -24.0 units and a y-component of 51.5 units. Find the magnitude and…

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Q: How does the free charge that gave us the electric displacement relate to the bound charge in a…

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Q: How large a force is required to accelerate a 1600 kg car from rest to a speed of 30 m/s in a…

A: Mass of car (m) = 1600 kg  Initial velocity (u) = 0 m/s  Final velocity (v) = 30 m/s  Distance moved…

Q: 835.6 MHzMHz (common frequency used for cell phone communication) Express your answer in meters…

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