Force A cart weighing 40 lb is placed on a ramp inclined at 15° to the horizontal. The cart is held in place by a rope inclined at 60° to the horizontal, as shown in the figure. Find the force that the rope must exert on the cart to keep it from rolling down the ramp. 60° 15°

Q: 50. A tow truck drags a stalled car along a road. The chain makes an angle of 30° with the road and…

A: According to the given information:Force = 1500 NChain makes an angle 300It is required to calculate…

Q: Two forces F1 and F2 with magnitudes 8 lb and 10 lb, respectively, act on an object at a point P as…

A: Consider the given diagram,According to the given force F1 and F1 the resultant force F in the form…

Q: Two forces, F1 and F2, of magnitude 10 and 30 pounds, respectively, act on an object.The direction…

A: Given: The magnitude of force F1=10 pounds The direction of F1=N20°E The magnitude of force F2=30…

Q: A man drove a car from his office (O). 120 km on a bearing of 135°, and then drove for another 100…

A: The bearing angle is taken form the north direction. Refer the diagram below showing the given…

Q: 5. A ladder 24 ft. long is leaning against a slopping embankment. The foot of the ladder is 11 ft.…

A:

Q: A vector F represents a force that has a magnitude of 8 lb and π/3 is the radian measure of its…

A: solutions:-(a)force, F=8 lbangle, θ=π/3distance along the x -axis from the origin to the point (6,…

Q: Forces of 19lbs and 40lbs act on a body producing a resulting force of 50lbs. What is the angle…

A: The given two forces are 19lbs and 40 lbs. The resulting force is 50 lbs. Because the resultant is…

Q: roller coaster move100 ft at an angle of 30.0° west of north. Next, it travels 200 ftat an angle of…

A:

Q: The brakes on a bicycle are applied using a downward force of F = 24 pounds on the pedal when the…

A: The brakes of bicycles are applying a downward force as F  →=-24k. The pedal cracks and make the…

Q: Two forces of magnitude 30 newtons (N) and 70 N act on an object at angles of 45 o and 120o with the…

A: Solution:Given      Two forces of magnitude 30 newtons (N) and 70 Non an object at angles of 45 o…

Q: Resultant Force A heavy log is dragged across the ground by two horses pulling onropes (Figure 9).…

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Q: Force Tyler and his cousin Kelly have attached a rope to the branch of a tree and tied aboard to the…

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Q: Stonehenge blocks Stonehenge in Salisbury Plains, England, was constructed using solid stone blocks…

A: Let us consider the ramp as a right triangle. The height (h) of the triangle is the height to which…

Q: Work Mark pulls Allison and Mattie in a wagon by exerting a force of 25 poundson the handle at an…

A: As mark pulls the wagon with a  force of 25 pounds at an angle of 30∘. thus the horizontal component…

Q: Three forces with magnitudes of 54 pounds, 90 pounds, and 134 pounds act on an object at angles of…

A: Please refer the attached image for complete solution.

Q: 83. A punter kicks a football with an initial velocity given by v = 22.2i + 18.6j m/sec. (See…

A: Given: A punter kicks a football with an initial velocity v=22.2i^+18.6j^ m/sec .

Q: A force of magnitude F = 30 pounds pulling on a suitcase makes an angle of 60° with the ground.…

A:

Q: Find the angle between the vectors u = 5i + 3j and v = 5i – 5j + 4k. The angle between the vectors…

A:

Q: Navigational compass is shown in the figure. The compass is marked clockwise in degrees that start…

A: Let denote the first force and denote the second force. Re-writing  and  in component form,…

Q: Find the angle between the vectors u = 3i + 5j and v = i - 3j + 4k. The angle between the vectors is…

A:

Q: A force of 80 pounds on a rope is used to pull a box up a ramp inclined at 10" from the horizontal.…

A: Explained below

Q: A carpenter leans a ladder against the roof of a building. The ladder just meets the roofline. The…

A:

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

A:

Q: Towing a boat A boat is towed with a force of 150 lb with a rope that makes an angle of 30° to the…

A:

Q: A force of 60 pounds on a rope is used to pull a box up a ramp inclined at 12° from the horizontal.…

A: Given: A force of 60 pounds on a rope is used to pull a box up a ramp inclined at 12° from the…

Q: Rope Tension A tetherball weighing 1 pound ispulled outward from the pole by a horizontal forceu…

A: Determine the resulting tension (in pounds) in the rope and the magnitude of u.

Q: Muscle Force Two muscles exert force on a bone at thesame point. The first muscle exerts a force of…

A: The diagram of the force exert by muscles is

Q: A force of 15.2 pounds makes an angle of 30 with the horizontal. Find the horizontal component of…

A: Given force is 15.2 pounds Given angle is 30° Find the horizontal component of the force.

Q: Law of Cosine A jet ski leaves the pier on a bearing of 15 degrees east of north and travels for 18…

A: Sketch the problem first. The jet ski leaves the pier on a bearing of 15 degrees east of north and…

Q: Suppose you apply a force of |F| = 50 N near the end of a wrench attached to a bolt (see figure).…

A: Thr formula for calculating the torque is given by the cross product of position vector and Force…

Q: A wagon is pulled along the ground by exerting a force of 40 pounds on a handle that makes an angle…

A:

Q: 12 Three forces act on an object of mass 5 kg. These forces are represented by the vectors 9i – 2j,…

A: To solve this problem we use the following  ∑ F→=ma→  where m is the mass of the object and  F→ is…

Q: A sailboat leaves st. Thomas bound for an island in the British West Indies 200 miles away…

A: According to the given scenario, we draw the figure like  The sailboat started from point A and…

Q: de 17 pounds pulling on a suitcase makes an angle of 30° with the ground. Express the force in terms…

A: Please refer to the image below

Q: A force of 80 pounds on a rope is used to pull a box up a ramp inclined at 10" from the horizontal.…

A:

Q: Work The force F = 4i – 7j moves an object 4 ft along the x-axis in the positive direction. Find the…

A: Work done by Force F with displacement D is given by, W = F . D   ( Dot product)

Q: Two forces of 61.7 lb and 23.5 lb acting at a point in the plane form an angle of 81.3°. Find the…

A:

Q: A force of 23 b is required to hold a -b crate on a hill. What angle does the h make wih the…

A: Let's Solve,

Q: Work A child pulls a toy wagon by exerting aconstant force of 25 pounds on a handle that makes a20°…

A:

Q: where does the ball land? (RoOund your answers one decimai place.) ft from the origin at an angle of…

A: We need to integrate the acceleration vector to find velocity vector

Q: Work Mark pulls Allison and Mattie in a wagon by exerting a force of 25 pounds onthe handle at an…

A:

Q: 4. A plane leaves an airport heading S50'E at 450 mph. After 2 hr., the plane makes a 90'clockwise…

A:

Q: Bicycle brakes A set of caliper brakes exerts a force on the rim of a bicycle wheel that creates a…

A: r¯ || j^F¯||i^r¯×F¯||j^×i^ = -k^

Q: Find the angle 0 between the vectors in radians and in degrees. (Round your answer for part (a) to…

A: Recall: Angle between two vector u→ and v→ is cos θ=u→.v→u→v→.

Q: ind the angle 0 between the vectors in radians and in degrees. (Round your answer for part (a) to…

A: Given problem:- u= 7i+j v=-6i+8j To find:- Angle between vectors in radian and degree

Q: To close a sliding door a man pulls on a rope with a force of 40 pounds at an angle of 60°. P 12 ft…

A:

Q: Find the angle 9 between the vectors in radians and in degrees. (Round your answer for part (a) to…

A:

Q: An object is pulled along the ground by exerting a force of 35 pounds a rope that makes a 5 angle…

A: Given,     An object is pulled along the ground by exerting a force of 35 pounds a rope that…