Q1: If the system is released from rest, determine the speeds and accelerations of both masses (A and B) after B has moved 2 m. Neglect friction and the masses of the pulleys. (12 p) 40 kg A 30° 10kg

Q: A ball is tossed straight up in the air. The ball reaches a maximum height of 1 meter. Which of the…

A: Given that a ball is tossed straight in the air. The ball reaches a maximum height of 1 meter.

Q: 11. An airplane heading 300 km/h [N45°W] encounters a wind of 70 km/h [S5°E]. Determine the…

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Q: A mass weighing 24 pounds stretches a spring 4 feet. The mass is initially released from rest at a…

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Q: Two 0.20-kg balls, moving at 4 m/s east, strike a wall. Ball A bounces backwards at the same speed.…

A: Mass = .20kg  Velocity= 4m/s  Momentum= mass × velocity

Q: Find mZJ. H. 5/2 5/2 J mZJ = Submit Work it c Not feeling ready yet? M

A: In the given right triangle HIJ HJ = HI

Q: Q 02: a 10 kg mass is attached to a spring having a spring constant of 140 N/m. The mass started…

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Q: When does the particle move forward? Move backward?Speed up? Slow down?

A: If v>0 then the particle will move forward.  v is greater than 0 for (0,1) and (5,7)    If v<0…

Q: A particle moves along a coordinate axis. Its position at time tis given by s(t) = t – 9t² + 24t +…

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Q: Q. A ef mass 1000Kg s towing motor- boat water- skier of 75kg by means or a horizontal Coble. Ilhe…

A: Question:-A motor-boat of mass 1000 kg is towing a water-skier of mass 75 kg by meansof a horizontal…

Q: A 1500kg car begins sliding down a 5.0° inclined road with a speed of 30km/hr. The engine is turned…

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Q: When does the particle stand still for more than an instant?

A: Given: The graph of Velocity function:

Q: 18. The accompanying figure shows the velocity v = f(t) of a par- ticle moving on a horizontal…

A: The velocity of a particle is defined as the ratio of the displacement with the time interval of the…

Q: A force of 540 newtons stretches a spring 3 meters. A mass of 45 kilograms is attached to the end of…

A: A  force 540 Newton stretches 3 meters .a mass of 45 kg  is atteched to the end of the spring and is…

Q: Given the acceleration of a particle is a(t) = . If the initial velocity is v(0) = and the initial…

A: By using the general formula of Newton's law of motion, we can calculate the position of particle at…

Q: A mass weighing 10 pounds stretches a spring 0.25 ft. This mass is removed and replaced with a mass…

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Q: position of a moving object is s (t) = 1³ – 31² - 45t-1. What is its acceleration at t=2?

A: Given query is to find the acceleration at indicated point.

Q: The position of a moving particle is given by s = 3t3 + 9, then its acceleration at t = 7 is O 27 O…

A: We will solve the following using derivative.

Q: Q2/A Cylindrical tank with radius of (3 m) and height of (10 m) has initially filled with water. In…

A: Please see the below picture for detailed solution.

Q: For time 1 > 0, the position of a particle moving in the xy-plane is given by the parametric…

A: Velocity==rate of change of distance per unit time=displacementtime=dsdt. Given that: x=4t+t2  and…

Q: A particle particle. moves with position function r(t) = 4/2ti – e4tj+e*k. Find the acceleration of…

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Q: A skydiver’s vertical velocity is governed by m(dv/dt)=mg-k(V^2) where, ? is the mass of the…

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Q: When is the particle’s acceleration positive? Negative? Zero?

A: From the given figure:

Q: The automobile has a mass of 2 Mg and the center of mass at G. Determine the towing Q3 30 force F…

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Q: 8. The moment of inertia of a body of mass 3m about an axis is 9ma² . The radius of gyration of the…

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Q: The accompanying figure shows the velocity v = f(t) of a par- ticle moving on a horizontal…

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Q: When does the particle move at its greatest speed?

A: From the given graph it is clear that in the interval [1,2] v is negative and decreases also in this…

Q: You throw a ball (from ground level) of mass 1 kilogram upward with a velocity of v = 31 m/s on…

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Q: A particle moves along a coordinate axis. Its position at time tis given by s(t) = t³ – 9t2 + 24t +…

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Q: The uniform beam has a mass of 52 kg per meter of length. Determine the reactions at the supports. A…

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Q: V T he moVament ofa lavtical of mas 15ka bY accalerating 3m/s/on an inclined PLane and The friction…

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Q: The figure to the right shows the shape and dimensions of a small dam. Assuming the water level is…

A: Given density 1000kg/m^3, acceleration due to gravity 9.8 m/s^2

Q: Specifically a DiffEq problem. Question in pic below. Answer: velocity = 2 ft/s downward

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Q: 23. In the system shown in Figure P5.23, a horizontal force F, acts on an object of mass m, face is…

A: The given system is shown below: where a (direction indicated by the blue arrows) is the…

Q: Uo (r² + a?) cos 0. u(r, 0) = ) Hence show that the velocity components of the flow are ди Ur = ax…

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Q: If v(t) = 2t + 1, the velocity of an object over time, what is the acceleration of the object at t =…

A: As per our guideline we are allowed to answer only question. Kindly repost the other question as the…

Q: 10:13 AM Fri Oct 30 L 37% T 4) Let slt) = - 36+ 66+ 3, t z0, give the position of an obyect moving…

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Q: a. Find the velocity and speed of the object. b. Find the acceleration of the object. 30. r(t) = (…

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Q: Elampei et an object moves r(4)= tit12tj+ 3.64 k aspostion@t=2 k) Velocity @ tz/ ) speed d)…

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Q: A child wanders slowly down a circular staircase from the top of a tower. With x,y,z in feet and the…

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Q: Q-1-At time t, the position of a body moving along the s - axis is t4 9. S = - 2t3 2t3 +t2 + 5t -- 4…

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

Q: "The tank in the form of a right-circular cone of radius 16 feet and height 40 feet standing on its…

A: given that a tank is in the form of a right circular cylinder of radius 16 feet and height 40 feet…

Q: A force of 540 newtons stretches a spring 3 meters. A mass of 45 kilograms is attached to the end of…

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Q: b. A cannonball fired from (0,0) with initial velocity 100m/sec, shot at an angle 3 above the…

A: We have to use equation of projectile motion.

Q: Figure Q4 shows a block with mass of 765 N resting on a horizontal plane. Calculate the force F…

A: Given: W=765N a=4.2m/s2μ=0.18θ=25° We know that ∑Fx=ma…

Q: In the figure particle 1 of charge +5e is above a floor by distance d1= 4.60 mm and particle 2 of…

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Q: The figure is a section of a conducting rod of radius R1 = 1.30 mm and length L = 11.60 m inside a…

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Q: Use the function that describes the acceleration of an object that is in motion and the initial…

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Q: Assume the motion of a mass-spring system with damping is governed by d²x dx +b 1 +16x = 0; x(0)=;,…

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Q: biuoo (3 g ot uoY (r Wla ovom ton T. T (6 m1 brie m2 no pn 26) Consider the Atwood machine in Fig.…

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Q: Without finding T and N, write the acceleration of the motion r(t)=(cost+t sint)i+(sint-tcost)j, in…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.