- A woman pushes a shopping cart with a force of 18 lbs. exerted at an angle of 45° to the floor. Write the force vector in component form.

Q: Determine the resultant of the four forces acting the circular plate and the angle ϴ, which the…

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Q: A 125-pound box is dragged 19 feet along a level floor. Find the work done if a force of 55 pounds,…

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Q: 11. A woman pushes a shopping cart with a force of 18 Ibs. exerted at an angle of 45° to the floor.…

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Q: A child pulls a wagon along level ground by exerting a force of 20 pounds on a handle that makes an…

A: Given that, Force = 20 pounds Angle = 30°

Q: What is the magnitude of a vector = (-181- 12j)m/s?

A: Given,            v = (-18i + 12j) m/s

Q: A man pushes a lawn mower with a force of 32 lb exerted at an angle of 30° to the ground. Find the…

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Q: A force of 600 pounds is required to pull a shipping crate up a ramp inclined at 25˚ from the…

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Q: A man pushes a lawn mower with a force of 30 lb exerted at an angle of 30 degreeto the ground. Find…

A: Given        Force F=30 lb      Angle θ=30 degree

Q: How do you find a vector's magnitude and direction?

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Q: Solve the problem. A force of 627 lb is required to pull a boat up a ramp inclined at 23° with the…

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Q: A woman pushes a shopping cart with a force of 18 lbs. exerted at an angle of 45 degrees to the…

A: Given, Force=18 Ibs Angle=45∘

Q: find a unit vector in the direction of v. v = −8i + 15j

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Q: A woman pulls pulls a cart on a level path with a force of 45N exerted at an angle of 33◦ above the…

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Q: State whether each quantity is a vector or a scalar. A) A time of 7 days B) A weight of 80kg C) A…

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Q: A child pulls a wagon with a force of 40 pounds. The handle of the wagon makes an angle of 30o .…

A: A child pulls a wagon with a force of 40 pounds. The handle of the wagon makes an angle of 30°

Q: Express the force as a Cartesian vector Z. 45° F = 500 N 60°

A: Given that                     angle made with x -axis be  α=θ. angle made with y-axis is    β=135°…

Q: Find the unit vector in the same direction as v. v=i+ 4j + 5k

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Q: A man pushes a wheelbarrow up an incline of 20o with a force of 100 pounds.Express the force vector…

A: Given: A man pushes a wheelbarrow up an incline of 20o with a force of 100 pounds.   Component of…

Q: A man pushes a lawn mower with a force of 34 Ib exerted at an angle of 30° to the ground. Find the…

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Q: Find a unit vector in the same direction as a= i + j.

A: Unit Vector is represented by the symbol ‘^’, which is called a cap or hat, such as: a^. It is given…

Q: A dog is pulling on his lead at an angle of 49 degrees with a force of 70 Newtons. What is the force…

A: Given data is : Force F=49 NewtonsAngle θ=49∘

Q: A toy wagon is pulled by exerting a force of 45 pounds on a handle that makes a 45° angle with the…

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Q: A man pushes a lawn mower with a force of 30 lb exerted at an angle of 30 to the ground. Find the…

A: Consider the given: Exerted force = 30 lbThe angle of the force to the ground = 30°The component…

Q: A child pulls a wagon with a force of 10 pounds. The handle of the wagon makes an angle of 30° with…

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Q: Find the work performed when the given force F is applied to an object, whose resulting motion is…

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Q: Find a unit vector in the direction of v = .

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Q: yA 20 lb 45° 30° 16 Ib

A: We find here resultant force vector.

Q: Find the unit vector in the direction of v.

A: Give vector v

Q: Find the unit vector in the direction of

A: Unit vector in the direction <-2, -5> Unit vector have magnitude 1

Q: Solve, (a). Find the magnitude of the force required to keep a 280-pound barrel from sliding down a…

A: a) Given that a barrel is of 280 pounds. The magnitude of the force can be obtained by calculating…

Q: Calculate the resultant and equilibrant vector and its direction of a man who walks 25.0meters East,…

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Q: Find the work performed when the given force F is applied to an object, whose resulting motion is…

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Q: Find the work W done by a force of 7 pounds acting in the direction 60° to the horizontal in moving…

A: Given force = 7 pounds direction = 60 degree

Q: A swimming pool has vertical sides and a flat but sloping bottom ranging in depth from 1m to 2m. If…

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Q: F = 50 lb 45° 15 3.

A: The given force F = 50 lb The force vector make the angle from x - y plane = 45°

Q: If v = 3i - 4j is a velocity vector, express v as a product of its magnitude (its speed) times its…

A: To Determine: If v=3i-4j is a velocity vector, express v as a product of its magnitude (its speed)…

Q: Find the unit vector in the direction opposite (-2, –1). to y =

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Q: Determine the resultant of the force system in the figure.

A: In this question we use the given figure for forces to find the magnitude of the forces

Q: A pedestrian walks at a rate of 6 km per hour east. The wind pushes him northwest at a rate of 13 km…

A: We can find the answer as below

Q: Find the unit vector in the same direction as v. v 8i-j u =

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Q: Find the work performed when the given force F is applied to an object, whose resulting motion is…

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Q: A child pulls a wagon with a force of 31 pounds.  The wagon makes a 45 degree angle with the ground.…

A: This question is related to vectors, we will use basic vector principles to solve it.

Q: State whether each quantity is a vector or a scala a) Wind of 90 km/h from the NortheastI b) A crate…

A: vector -  in physics, a quantity that has both magnitude and direction.  scalar -  Scalar…

Q: A forklift is used to offload freight from a delivery truck. Together, the forklift and its contents…

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Q: Which is traveling faster, a car whose velocity vector is 27i⃗ +32j⃗ , or a car whose velocity…

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Q: An object with a mass of 10 kg is suspended from a ceiling by two lengths of rope that makes angles…

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Q: A kick boxer kicks a bag at an angle of 30° from the horizontal with a force of 190N (Newtons).…

A: The force vector F which is being applied by the kick boxer while kicking bag at angle of 30° in…

Q: Calculate the magnitude and direction of vector A and B respectively?

A: Given, A¯=-5i^+2j^B¯=6i^-5j^

Q: A man pushes a lawn mower with a force of 30 lb exerted at an angle of 30° to the ground. Find the…

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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.