Recent content by tigerseye

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    Elementary linear algebra questions

    Could someone help me please? 1.) Find the scalar equation of the line containing P(2, -1, 3) and perpendicular to the lines [x y z]^T=[4 -1 2]^T + t[7 0 1] and [x y z]^T=[-2 0 1] + t[2 3 0]^T. 2.)Find all points C on the line through A(1, -1, 2) and B(2, 0, 1) such that vectors llACll= 2...
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    Car Runs Out of Gas: Calculate Speed After Coasting Down Hill

    A 1500 kg car is approaching a hill shown in the diagram at 10.0 m/s when it suddenly runs out of gas. Assuming the car makes it to the top by coasting, what is the car's speed after coasting down the other side? I tried using 1/2*m*(v_1)^2+mgh_1= 1/2*m*(v_2)^2+mgh_2 but didn't get the right...
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    Calculate Friction & Normal Force Work for 8kg Crate on 30° Incline

    An 8.0 kg crate is pulled up a 30 degree incline by a person pulling on a rope that makes an 18 degree angle with the incline. The tension in the rope is 120 N and the crate's coefficient of kinetic friction on the incline is 0.25. If the crate moves 5.0 m, what is the work done by a.)...
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    A Mass-Spring System with Recoil and Friction

    Assuming I'm right, I figured k= (2*m*g*mu)/x but I need to get rid of x somehow so that the answer is in terms of mu, m, g, and v only...does anyone have any suggestions? :redface:
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    A Mass-Spring System with Recoil and Friction

    Any other help would be greatly appreciated :smile:
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    A Mass-Spring System with Recoil and Friction

    Finding the compression of the spring, I found that E_final=E_initial+W_nonconservative where E_final is zero and E_initial=(1/2*m*v^2). What would the W_nonconservative be?
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    A Mass-Spring System with Recoil and Friction

    I've been stuck on the same problem for hours. :mad: They ask for the answer in terms of mu, m, g, and v only which is what really screws me up. I know there are all ready a lot of posts but any other help would be great.
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    How Is the Average Force Calculated in an Elastic Collision with a Wall?

    I'm stumped on this question: A ball of mass m moving with velocity v_i strikes a vertical wall. The angle between the ball's initial velocity vector and the wall is theta_i as shown on the diagram. The duration of the collision between the ball and the wall is delta t, and this collision is...
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    Solve Astronaut Wrench Problem: Find x_2 from x_1, v

    I'm still not getting the right answer..any other suggestions?
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    Solve Astronaut Wrench Problem: Find x_2 from x_1, v

    This problem is driving me insane: An astronaut is initially at rest, at a distance x_1 from the spaceship. She hurls a wrench with a speed v, relative to the spaceship. Find the final distance x_2 between the spaceship and the wrench using some or all of the variables given.
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    Suspended Steel Beam: 6000N Max Tension Test

    I'm having problems with what equation to use for this question: A 1000 kg steel beam is supported by two ropes. Each rope has a maximum sustained tension of 6000N. Does either rope break?
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    Still stuck on two blocks and pulleys

    Can you explain how you got that? :smile:
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    Still stuck on two blocks and pulleys

    Now I am supposed to find the magnitude of the vertical acceleration of mass 1, in terms of mass 1, gravity and the tension. I found that a_1= ((m_1*g)-2T)/2m_1 but that isn't right. Any help would be great
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    How Do You Calculate Tension in a Two-Block, Two-Pulley System?

    Based on the fact that the string is massless, and the system and table are frictionless, how would I find the tension in the string acting on mass 2?
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    Speed of a Bullet: Deriving Formula with D, T & Theta

    I've been stuck on this problem forever and I don't know how to do it if you can't use r as the radius. A bullet is shot through two cardboard disks attached a distance D apart to a shaft turning with a rotational period T (see the attached picture). Derive a formula for the bullet speed v in...