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The helicopter view in Fig. P3.15 shows two people pulling on a stubborn mule. The person on the right pulls with a force
Figure P3.15
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Chapter 3 Solutions
Physics for Scientists and Engineers with Modern Physics
- A particle, which remains at rest, is acted on by three forces R, S and T. The force R has magnitude 32 N and is directed vertically downwards. The force S is directed to the left and up at 55◦ to the horizontal. The force T is directed to the right and up at 42◦ to the horizontal. Take the unit vector i to point horizontally to the right and the unit vector j to point vertically upwards as attached. Express the forces in component form, in terms of unknown magnitudes where appropriate. Find the magnitude of S in newtons to two significant figures.arrow_forwardIn a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture.arrow_forwardVector F1 = 625 N makes an angle of 270 degrees when rotated counterclockwise from the +x axis. Vector F2 = 875 N makes a 120 degree angle from Vector F1 when rotated counterclockwise. What is the direction of the vector needed to balance the two forces?arrow_forward
- While sliding a couch across a floor, Hannah and Andrea exert forces F⃗ H and F⃗ A on the couch. Hannah's force is due north with a magnitude of FH = 35 N and Andrea's force is θ = 24° east of north with a magnitude of FA = 202 N. In this problem, use a coordinate system with positive y directed north and positive x directed east.arrow_forwardJuan is helping his mother rearrange the living room furniture. Juan pushes on the armchair with a force of 30.0 N directed at an angle of 25.0 degree above a horizontal line while his mother pushes with a force of 60.0 N directed at an angle of 35.1 degree below the same horizontal. What is the magnitude of the vector sum of these two forces?arrow_forwardTwo individuals are attempting to relocate a sofa by applying forces in the indicated directions. If F₁ = 590 N and F2 = 620 N, determine the vector expression for the resultant R of the two forces. Then determine the magnitude R of the resultant and the angle which it makes with the positive x-axis (measured counterclockwise from the x-axis). F₂ -X 599 F₁ Answers: j) N R= (i R= i 0= i B i+ i Narrow_forward
- The figure shows a box of dirty money (mass m₁ = 3.5 kg) on a frictionless plane inclined at angle 0₁ = 34°. The box is connected via a cord of negligible mass to a box of laundered money (mass m₂ = 1.6 kg) on a frictionless plane inclined at angle 02 = 68°. The pulley is frictionless and has negligible mass. What is the tension in the cord? Number Units M²1 m2 02/arrow_forwardProblem 5. A force F of magnitude 6.00 units acts on an object at the origin in a direction u 30.0 degrees above the positive x axis. A second force F2 of magnitude 5.00 units acts on the object in the direction of the positive y axis. Find the magnitude and direction of the resultant F + F2.arrow_forwardTwo ropes are attached to a tree, and forces of F ⃗ 1 = 2.0i ^ + 4.0j ^ N and F ⃗ 2 = 3.0i ^ + 6.0j ^ N are applied. The forces are coplanar (in the same plane). (a) What is the resultant (net force) of these two force vectors? (b) Find the magnitude and direction of this net force.arrow_forward
- Three forces act on a moving object. One force has a magnitude of 72.3 N and is directed due north. Another has a magnitude of 69.4 N and is directed due west. What must be (a) the magnitude and (b) the direction of the third force, such that the object continues to move with a constant velocity? Express your answer as a positive angle south of east.arrow_forwardA man is attempting to lift a crate using a two part pulley system as shown in the image. The crate has mass m2 = 53 kg, and the man has m1 = 75 kg. He pulls downward on the rope with a force of magnitude F = 659 N. The pulleys are massless and frictionless. 1.) Using T to describe the magnitude of the tension force, write an expression for the sum of the forces in the y direction acting on the crate, in terms of gravity and the variables provided. 2.) what is the blocks acceleration in m/s^2?arrow_forwardThe figure shows an overhead view of a 0.0260 kg lemon half and two of the three horizontal forces that act on it as it is on a frictionless table. Force F, has a magnitude of 6.00 N and is at 0, = 25.0°. Force F2 has a magnitude of 7.00 N and is at 6, = 26.0°. In unit-vector notation, what is the third force if the lemon half (a) is stationary, (b) has the constant velocity v = (12.0i – 12.0j) m/s, and (c) has the V = (14.0ti – 14.0fj) m/s², where t is time? -arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University