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Two forces
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Physics for Scientists and Engineers: Foundations and Connections
- Two small forces, F ⃗ 1 = −2.40i ^ − 6.10tj ^ N and F ⃗ 2 = 8.50i ^ − 9.70j ^ N, are exerted on a rogue asteroid by a pair of space tractors. (a) Find the net force. (b) What are the magnitude and direction of the net force? (c) If the mass of the asteroid is 125 kg, what acceleration does it experience (in vector form)? (d) What are the magnitude and direction of the acceleration?arrow_forwardA large rocket has a mass of 2.00×106kg at takeoff, and its engines produce a thrust of 3.50×107 N . (a) Find its initial acceleration if it takes off vertically. (b) How long does it take to reach a velocity of 120 km/h straight up, assuming constant mass and thrust? (c) In reality, the mass of a rocket decreases significantly as its fuel is consumed. Describe qualitatively how this affects the acceleration and time for this motion.arrow_forwardAn astronaut weighing 236 lbs on Earth is on a mission to the Moon and Mars. a.What would he weigh in newtons when he is on the Moon? The acceleration due to gravity on the Moon is one-sixth that on Earth? b. How much would he weigh in newtons when he is on Mars, where the acceleration due to gravity is 0.38 times that on Earth? c. What is his mass in kilograms on Earth?arrow_forward
- A brave but inadequate rugby player is being pushed backward by an opposing player who is exerting a force of 800 N on him. The mass of the losing player plus equipment is 90.0 kg, and he is accelerating at 1.20 m/s backward. (a) What is the force of friction between the losing player’s feet and the grass? (b) What force does the winning player exert on the ground to move forward if his mass plus equipment is 110 kg? (c) Draw a sketch of the situation showing the system of interest used to solve each part. For this situation, draw a free-body diagram and write the net force equation.arrow_forwardFor t 0, an object of mass m experiences no force and moves in the positive x direction with a constant speed vi. Beginning at t = 0, when the object passes position x = 0, it experiences a net resistive force proportional to the square of its speed: Fnet=mkv2i, where k is a constant. The speed of the object after t = 0 is given by v = vi/(1 + kvit). (a) Find the position x of the object as a function of time. (b) Find the objects velocity as a function of position.arrow_forward(a) A car with a mass of 850 kg is moving to the right with a constant speed of 1.44 m/s. What is the total force on the car? (b) What is the total force on the car if it is moving to the left?arrow_forward
- Starting from rest, a rectangular toy block with mass 300 g slides in 1.30 s all the way across a table 1.20 m in length that Zak has tilted at an angle of 42.0 to the horizontal. a. What is the magnitude of the acceleration of the toy block? b. What is the coefficient of kinetic friction between the block and the table? c. What are the magnitude and direction of the friction force acting on the block? d. What is the speed of the block when it is at the end of the table, having slid a distance of 1.20 m?arrow_forwardThe International Space Station has a mass of approximately 370,000 kg. (a) What is the force on a 150-kg suited astronaut if she is 20 m from the center of mass of the station? (b) How accurate do you think your answer would be?arrow_forwardA 1.50-kg particle initially at rest and at the origin of an xy coordinate system is subjected to a time-dependent force of F(t) = (3.00t i 6.00j) N with t in seconds. a. At what time t will the particles speed be 15.0 m/s? b. How far from the origin will the particle be when its velocity is 15.0 m/s? c. What is the particles total displacement at this time?arrow_forward
- You blow a small piece of paper through the air. Is the force on the paper a contact force or a field force? Explain.arrow_forwardWhile in space far from any gravitational body, a 120-kg astronaut pushes off a 2400 kg space vehicle. The contact lasts .25 seconds, after which the astronaut is traveling 1 m/s a) what's the magnitude of the pushing force? b) what's the speed of the vehicle after the contact has ended? c) how is Newton's 3rd law demonstrated?arrow_forwardA stubborn dog is being walked on a leash by its owner. At one point, the dog encounters an interesting scent at some spot on the ground and wants to explore it in detail, but the owner gets impatient and pulls on the leash with force F ⃗ = (98.0i ^ + 132.0j ^ + 32.0k ^ )N along the leash. (a) What is the magnitude of the pulling force? (b) What angle does the leash make with the vertical?arrow_forward
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