Suppose a man pushes a crate with a force of 30'N north. What is the magnitude and directio of the reaction force? (15 Points) 30 N south 30 N north 30 N down There is no reaction force in this case.

Q: 9. Suppose that 2 J of work is needed to stretch a spring from its natural length of 30 cm to a…

A:

Q: Suppose that 2 J of work is needed to stretch a spring fromits natural length of 30 cm to a length…

A: Stretched distance = 42-30 =12  cm = 0.12 m  Let F=kx [ by Hooke's law ]  So,

Q: When a certain spring is expanded 9 centimeters from its natural position and held fixed, the force…

A: Given query is to find the the work required to stretch the spring additional 9 cm

Q: An auto weighing 1,500 pounds is on a street inclined at 10" with the horizontal. Find the force…

A: Let's find.

Q: What would be the resultant force F of the triangular distributed load and its location 'd' measured…

A: The magnitude of the resultant force for the triangular distributed load is the same as the area of…

Q: How much work is required to move an object from x=4 to x =11 (measured in meters) in the presence…

A:

Q: A particle is moved along the x-axis by a force that measures 2x^3-2 pounds at a point x feet from…

A: Given,

Q: Fnd the magnitude of the resulting force. Round to the nearest Newton. B: 11.1 N, 111° A: 10.0 N, 0°…

A:

Q: How much work does it take to slide a box 43 m along the ground by pulling it with a 287 N force at…

A:

Q: 1. A particle moves a distance of 150ft along a straight line. As it moves, it is acted upon by a…

A: As per our honor code, we are answering only the first question. The distance traveled by the…

Q: How much work is done by a 10N force applied on an object of mass m if the force moves 5m away from…

A: We know that Work done is given by the product of force and displacement. Given:  Force is 10 N and…

Q: 7. A 2600-pound truck is stopped at a red light on a hill with an incline of 25°. Ignoring the force…

A: Recall:  Force=w·sin θ We have, w=2600 pounds, θ=25°

Q: Suppose only F acts on the object and with this force only, the object experiences a displacement…

A: Introduction: When a force is acted upon an object, there is a displacement. The dot product of the…

Q: How much work is required to move an object from x = 0 to x = 6 (measured in meters) in the presence…

A: Work done = Force × Displacement

Q: 2. If you push a book 1.5 m across a table using a constant force of 10.0 N, how much work do you do…

A:

Q: How much work is required to move an object from x = 0 to x = 6 (measured in meters) in the presence…

A: Given information:-   How much work is required to move an object from x = 0 to x = 6 (measured in…

Q: Assume that a spring does not follow Hooke’s Law. Instead, the force required to stretch the spring…

A:

Q: A cable exerts a constant upward tension of magnitude 2.14 ✕ 104 N on a 2.00 ✕ 103 kg elevator as it…

A: A cable exerts a constant upward tension of magnitude 2.14 ✕ 104 N on a 2.00 ✕ 103 kg kg elevator as…

Q: Suppose a car is towed using a force of 1000 newtons. The chain used to pull the car makes a 25°…

A: We need to find the component of the force in the direction of the displacement and that would be…

Q: What would be the resultant force F of the triangular distributed load and its location 'd' measured…

A: Given,

Q: What force is required so that a particle of mass m has the position function r(t) = ti + 3t²j +°k?…

A:

Q: A Sping exerts a force of looN when a force Ot 100N when 0.2 m much uoric is requirced to 0.8 m…

A: A spring exerts a force of 100 N when it is stretched 0.2 m beyond its natural length F=100N for…

Q: A 12.0-kg box (m,) is connected to an empty 2.00-kg bucket (m2) by a cord running over a very light…

A:

Q: 6. Find the work done by the force F = 31 – 5j in moving an object from the point (2, 2) to the…

A: Given that the force F=3i-5j moving from the point (2,2) to the point (7,-13). We need to find the…

Q: An elevator is moving upward at 3.00 m/s. Compared to the force the cable pulls the elevator, the…

A: solution

Q: 4. Determine the resultant of the forces: F, = 440 N [N29°E] and F2 = 275 N [S23°E]. %3D Answer:

A: By using vector addition.

Q: 5. At what angle must the 800 N force be applied in order that the resultant R of the two forces has…

A:

Q: A force F(x) = 10−2x N applied in the positive x-direction moves an object 3m from x = 2to x = 5.…

A: Given that , Fx=10-2x N Work (W)=?

Q: Determine the resultant of the given forces. f1 acting due north with a magnitude of 12 N and f2…

A: Given thatForce f1 acting due north with a magnitude of 12 N and f2 actingdue east with a…

Q: Find the work done by a force of 14i (newtons) in moving as object along a line from the origin to…

A: Work done is given by the product of Force and displacement. That is: W=F×dwhere F is force and d is…

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: Which of the following is the work done by a constant force F moving an object along a straight line…

A: The work done is defined as the integral of the force F with respect to the distance.   The work…

Q: A cylindrical tank half full of water is lying on its side. If the radius of the tank is 1m and the…

A: Let the density of the water be w And the total height including the strip be μ Let us assume that…

Q: Find the resulting force, R what additional force F is needed for the object to be in static…

A: F1 = -12i + 8j F2 = -9i - 15j F3 = 11i + 7j Resulting force is the sum of all the forces. Static…

Q: 3. The given plate R is submerged vertically into a water with y = 4 as the water surface. Find the…

A: Given the plate R: y=1-x,y=0,y+2x=-2. Find the force due to liquid pressure on one side of R.

Q: 2. The block shown in Figure 2 is acted on by its weight W= 400 lb, a horizontal force F= 600 lb,…

A:

Q: A 10 kg box is pulled to the right by 50 N force. If the friction force is 12 N, then the…

A: Given,  Force =50N Friction force =12N Mass= 10kg

Q: In space v = (-5) ux + (-3) uy + (4) uz [m / s] speed moving q = 4 [C] load, E = (5) ux + (10) uy +…

A: The given three equations are, v=-5ux-3uy+4uzE=5ux+10uy+7uzB=8ux+9uy+4uz The values are represented…

Q: 21. The massive Three Gorges Dam on China's Yangtze River has height 185 m (Figure 16). Calculate…

A:

Q: Suppose that an object moves in the positive direction along a coordinate line over the interval [a,…

A: Let the object moves in the positive direction along a coordinate line over the interval [a, b] Let…

Q: Find the magnitude of the resultant force and its angle from the positive x-axis 200 N 300 N 60 O a.…

A:

Q: A tractor pulls a log 800 meters up a hill with a grade of 4%. The force on the cable connecting he…

A: Solution Given  A Tractor pulls a log 800 meter up a hill with a grade of 4%. The force on the cable…

Q: A 0.75 kg toy cart is moving to the left (-z direction) with a speed of 1.0 m/s when it 2.…

A: Given query is to find the impulse delivered by the force and the effect of the impulse on the cart…

Q: 45. The power exerted by a force F = (3fi+ 2ij) N on a particle with velocity v = (31 i – 21² j) ms'…

A:

Q: Q2 Gate AB in Fig. (2) is 1.5 m wide into the paper, hinged at A, and restrained by a stop at B. The…

A:

Q: Q7) The work done by the force F = 2j to move a particle from the origin to the point (3,3,3) is:

A:

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.