Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Only 1- A and B And 2- A and B Provide a mathematical definition of work. What i

ID: 1418415 • Letter: O

Question

Only 1- A and B And 2- A and B Provide a mathematical definition of work. What is the unit of work in the MKS system of units? The vectors A and B are given by: A = 2i + 3j and B = -2i + 2j. Determine the scalar dot product A. B. Find the angle between A and B. The vectors A and B are given by: A = 2i + 1j and B = -2i + 4j. Determine the scalar dot product A. B. Find the angle between A and B. Two Connected Objects when Friction is Present: Determine the magnitude of the acceleration of the two objects shown to the right. Provide mathematical definition of K.E., P.E. and give their units in the MKS system of units. Provide a mathematical definition of torque, and give its unit in the MKS system of units. Considering m_1 = 3 kg, m_2 = 7 kg, and theta = 50degree. (a) Draw the free-body diagram of both objects, (b) find the magnitude of the acceleration, (c) find the tension in the string, (d) find the speed of each object after 2 seconds. The force on a particle is F_x = (9x - 18), where F is the force in newtons and x is in meters. Find the net work done by this force on the particle as it moves from x = 0 to x = 4 m. Derive an equation for the velocity in terms of the terminal velocity of a falling object when the air friction is proportional to the velocity of the falling object.

Explanation / Answer

1 A )

work is given aa

work done = F.r

F is force

r is the displacement

B) the unit of work done is Joule (J)

2)

A)kinetic energy is given as kinetic energy = 0.5 * m * v^2

m is the mass , v is the speed

PE = m * g * h

the units of both is Joule

b) for torque

torque = r X F

r is the position vector of force

F is the force

unit of torque is N.m