4. Replace the force system by an (a) equivalent resultant force and (b) couple moment at point 0. Take F3 = F3(-.15i +.2j - .3k). F3 is equal to the last three digits of your student ID number. Express in cartesian and scalar form. 1.5 m 2m F₁ = 300 N 1.5 m F₂= 200 N

4. Replace the force system by an (a) equivalent resultant force and (b) couple moment at point 0. Take F3 = F3(-.15i +.2j - .3k). F3 is equal to the last three digits of your student ID number. Express in cartesian and scalar form. 1.5 m 2m F₁ = 300 N 1.5 m F₂= 200 N

Name: 4. Last 3 digits of ID # = 260. Box the final answer/s. 4. Replace the
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Description: 4. Last 3 digits of ID # = 260. Box the final answer/s. 4. Replace the force system by an (a) equivalentresultant force and (b) couple moment at point 0.Take F3 = F3(-.15i +.2j - .3k). F3 is equal to the lastthree digits of your student ID number. Ex

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom

Section: Chapter Questions

Problem 2P

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2) Which of the following is a vector quantity? a) Mass b) Force c) Volume 3)The polar coordinate of (r, θ ) of a Cartesian coordinate (-3.5,-2.5) is: a) (4.3, 216o ) b) (10, 100o ) c) (120, 17o ) 4)Two vectors are given as a= i +2j+2k and b=2i+4j+2k . Vector c which satisfies the relation a-b+c=3i is: a) i+3j b) –i +j c) -i+5j d) 4i+2j
Determine the magnitude of the y-component of force P (N) if P=104.4 N, Q = 64.4 N , θ= 58.6° and α = 40.97°. Round off only on the final answer expressed in 3 decimal places. Instead of units, indicate the direction of the y-component.
2. To promote their new album, BTS decided to launch a satellite into orbit that will intercept all airwaves and play their songs worldwide. To do this, he needs to mount a 200 [kg] satellite onto a 850 [kg] rocket. It blasts off vertically from a launch pad with a constant net upward acceleration of 3.80 [m/s2]. When it has reached a height of 680 [m], the satellite was released, and the rocket blew up shortly after, due to a system failure. Assume that the satellite was not damaged after the explosion. (a) What is the maximum height that the satellite will reach above the launch pad? (b) How much time will elapse after system failure before the satellite comes crashing down the launch pad?(c) How fast will the satellite be moving just before it crashes?
6. Calculate the magnitude of the resultant of three concurrent forces: The first force is 200 Npointing 60 deg. above the positive X-axis; the second force is 60 N in the positive Ydirection and the third force is 150 n in a direction 45 deg below the positive X- axis.A. 242.13 NB. 341.13 NC. 414.13 ND. 312.13 N
Determine g for each situation using the method shown in the example below: Example: Planet Moe has the same mass as Earth, but twice the radius. Calculate gMoe by using the fact that gE = 9.81 m/s2 on Earth. gE = GM / rE2 = 9.81 m/s2 gMoe = GMMoe / rMoe2 = GME / (2rE)2 = 1 GME / 4rE2 = ¼ x 9.81 m/s2 = 2.45 m/s2 a) Planet X has a mass 3 times that of the earth, but the same radius. What is the acceleration due to gravity near its surface? b) A distant planet has a radius half the size of Earth’s, but it has the same mass as Earth.What is the acceleration due to gravity near its surface? c) Neptune has a radius 3.9 times that of earth and a mass 17 times that of the earth.What is B at its surface? d) A woman who weighs 800.0 N on Earth wants to lose weight, so she takes a trip to Planet Lite, which has twice the mass and three times the radius of earth. - What is B on Planet Lite? - What is her weight on Planet Lite? e) What is g for a falling apple released from a distance of .…
7. Which of the following is the condition for the three-force theorem in mechanics? a. The force system should be in equilibrium only b. The force systems should be non-coplanar c. The system should be co-planar, parallel d. The force system should be in equilibrium, co-planar, concurrent, or parallel 8. Which of the following is the SI unit of force? a. Kg m b. Kg m2 c. Kg m2 /s d. Kg m/s2
Each Voyager spacecraft was accelerated toward escape speed from the Sun by the gravitational force exerted by Jupiter on the spacecraft. (a) Is the gravitational force a conservative or a nonconservative force? (b) Does the interaction of the spacecraft with Jupiter meet the definition of an elastic collision? (c) How could the space-craft be moving faster after the collision?
In the standing broad jump, one squats and then pushes off with the legs to see how far one can jump. Suppose the extension of the legs from the crouch position is 0.600 m and the acceleration achieved from this position is 1.25 times the acceleration due to gravity, g. How far can they jump? State your assumptions. (Increased range can be achieved by swinging the arms in the direction of the jump.)
Balancing carefully, three boys inch out onto a horizontal tree branch above a pond, each planning to dive in separately. The third boy in line notices that the branch is barely strong enough to support them. He decides to jump straight up and land back on the branch to break it, spilling all three into the pond. When he starts to carry out his plan, at what precise moment does the branch break? Explain. Suggestion: Pretend to be the third boy and imitate what he does in slow motion. If you are still unsure, stand on a bathroom scale and repeat the suggestion.
A hockey stick pushes a 0.160-kg puck with constant force across the frictionless surface of an ice rink. During this motion, the pucks velocity changes from 4.00 m/s to (6.00 + 12.00) m/s in 4.00 s. a. What are the scalar components of the force acting on the puck? b. What is the magnitude of the force acting on the puck?
The average speed of a nitrogen molecule in air is about 6.70 102 m/s, and its mass is 4.68 1026 kg. (a) If it takes 3.00 1015 s for a nitrogen molecule to hit a wall and rebound with the same speed but moving in the opposite direction, what is the average acceleration of the molecule during this time interval? (b) What average force does the molecule exert on the wall?
In Example 2.6, we considered a simple model for a rocket launched from the surface of the Earth. A better expression for the rockets position measured from the center of the Earth is given by y(t)=(R3/2+3g2Rt)2/3j where R is the radius of the Earth (6.38 106 m) and g is the constant acceleration of an object in free fall near the Earths surface (9.81 m/s2). a. Derive expressions for vy(t) and ay(t). b. Plot y(t), vy(t), and ay(t). (A spreadsheet program would be helpful.) c. When will the rocket be at y=4R? d. What are vy and ay when y=4R?