3) A river is 40. meters wide and its current flows southward at 4.5 meters per second. A boat is launched with a velocity of 3.0 meters per second eastward from the west bank of the river. Determine the magnitude of the boat's resultant velocity as it crosses the river. [You must draw the diagram first by using the Head - Tail method, but it need not be to scale].

Q: A man walks 96 m through the pathway wearing a 7 kg bag on his back. How much work, in joules, does…

A: Given data- Displacement's magnitude is d=96 m Mass of the bag is m=7 kg

Q: car of mass m is negotiating a circular turn of radius R and speed v. The forces on the car are…

A: Given, A car of mass m is negotiating a circular turn of radius R and speed v

Q: Can there be a net force on an object and have no work done to it? Defend your answer.

A: let the net force acting on the object be "F"  and displacement of the object due to this force is…

Q: Am = 0.60 kg mass attached to a spring constant k= 90 N/m is undergoing simple harmonic motion on a…

A: Given data:  Mass (m) = 0.60 kg Spring constant (k) = 90 N/m Amplitude (x) = 0.1 m Required:…

Q: 400 Joules of work is done on an object that weights 200 N. How far did the object move?

A:

Q: Find the work done by a person weighing 160 lb walking exactly one revolution(s) up a circular,…

A: A person of weight F=160 lb is walking up a spiral staircase of radius r=4 ft and he rises up to a…

Q: At what position in the diagram is the gravitational force doing positive work?(Check the attached…

A: Work done by gravity is,

Q: 2. The position of a particle between t = 0 and t = 2.00s is given by r(t) = (3.00 m/s³)³-(10.0…

A: Given:- equation of motion is given as  x(t) = 3.00 m/s3t3-10.00m/s3t2+9.00m/st This is a position…

Q: A cannon fires a projectile with a speed of 110 m/s at a 30° to the horizontal. The opening of the…

A: Speed of the projectile = v = 110m/s Mass of the projectile = m = 7.0 kg Angular Velocity of the…

Q: 7. A baseball is hit by a bat and given a velocity of 40.0 m/s at an angle of 30° above the…

A: The formula for maximum height measured with respect to point of release is  H=u2sin2θ2g Here u is…

Q: Find the work done by the force F = 12xy i +9y²j acting along the piecewise-smooth cur ine segments…

A: Force                We need to find the work done by the force along the line segment from…

Q: here is a diagonal force of 50 N acting on a box. It’s components, a vertical force of 30 N, and a…

A: Given,  a diagonal force of F = 50 N acting on a box. It’s components, a vertical force of Fy = 30…

Q: = (x(x + y), xy²) F = to move a particle from the origin along the x-axis to (1,0), then along the…

A:

Q: That is the work-energy theorem and what basic principle of physics does it represent

A: Work energy theorem sates that Work done by all the external forces is equal to change in kinetic…

Q: A 73-kg fisherman in a 114-kg boat throws a package of mass m = 15 kg horizontally toward the right…

A:

Q: Section 5.3: Work and Line Integrals 20. Compute the work done by the force F=zyi-uj along the path…

A:

Q: 1. Using the steps for node voltage analysis to solve for the node voltages. Then, calculate the…

A:

Q: 11. Two wires carries currents as shown (I1 = 100 A in the +y direction and I2 = 20 A in the -x…

A: Recall B=μ0i/2πrWhere B is magnetic field at a distance r from long conductor having current i.

Q: A 560-N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal,…

A: (a) Apply the condition of equilibrium, The summation of moments about the hinge is equal to zero.ΣM…

Q: Is work a vector quantity? In other words does it need a direction associated with it ?

A: To define work we just need magnitude and not direction. Also work is the dot product of two vector…

Q: Why are solar power and wind power somewhat unreliable?

A: No, work done is not a vector quantity rather it is a scalar one. as it is defined by the dot…

Q: Can you explain how did you derive that Work formula? I haven't seen it before for this kind of…

A: A spherical balloon has a diameter of 0.2m and contains air at a pressure of 1.2bar. Due to heating…

Q: 4.1 What is the photon energy of an EM wave with wavelength of 10 nm? X 12.4 keV X X X 124 eV (your…

A:

Q: Consider a 75.0 Ohm, 5.08-cm circular loop (diameter) with 100.0 turns in the plane of the page and…

A: Given that- R=75 ohm Diatmeter(D) =5.08cm Radious(r)=5.08/2=2.54 cm=2.54*10^-2 m B1=8.43T B2=14.6T…

Q: In a dog race, a dog accelerates from a speed of 4 m/s to a speed of 9 m/s over a distance of 50…

A: Given data:   Initial velocity (u) = 4 m/s Final velocity (v) = 9 m/s Distance (d) = 50 m Required:…

Q: 6. A hydraulic lift is to be used to lift a 2100-kg weight by putting a weight of 30 kg on a piston…

A: “Since you have posted multiple questions, and picture quoted in question number 5 is not given then…

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.