A5 kg ball rolls off a 25 m high cliff, and lands 23 m from the base of the cliff. Express the displacement and the gravitational force in terms of vectors and calculate the work done by the gravitational force. Note that the gravitational force is < 0, -mg, 0 >, where g is a positive number (+9.8 N/kg). (Let the origin be at the base of the cliff, with the +x direction towards where the ball lands, and the +y direction taken to be upwards.) < 23, – 25,0 > Displacement m Gravitational ForceF= Work W =

A5 kg ball rolls off a 25 m high cliff, and lands 23 m from the base of the cliff. Express the displacement and the gravitational force in terms of vectors and calculate the work done by the gravitational force. Note that the gravitational force is < 0, -mg, 0 >, where g is a positive number (+9.8 N/kg). (Let the origin be at the base of the cliff, with the +x direction towards where the ball lands, and the +y direction taken to be upwards.) < 23, – 25,0 > Displacement m Gravitational ForceF= Work W =

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A hydrogen molecule consists of two hydrogen atoms whose nuclei are single protons. Find the magnitude of the repulsive force between the two protons in a hydrogen molecule whose distance apart is 7.50x10-11 m. (You may enter your result using scientific notation.)
The scalar product A · B of the two vectors A = 2i + 3j and B =i- 2j is O -4 k O 2i - 6j -4
Three masses, m1=8.2kg, m2=2.4kg and m3=4.1kg are places on a coordinate system with position vectors listed below in the same order. r1=( 1m) i + ( 0m) j r2=( 3m) i + ( -2m) j r3=( 9m) i + ( 8m) j Please note bold characters are vectors with i and j are unit vectors. Find the x-component of the position of the center of mass of this three particle system. Express your answer in units of meters using two decimal places.
Calculate the magnitude
Problem 5: Consider the vectors, D = (6.00î - 8.00j) m, B = (-8.00î + 3.00j) m, and A = (26.0î + 19.0j) m.
We have two vectors A=(6.0, 9.6) and B=(-8.6, 4.4). What angle does the sum of these vectors make with the x-axis in degrees?
Two position vectors are given by Á = (4.00m)î – (2.00m)j – (3.00m)k and B= (4.00m)i - (5.00m)k. What is the scalar product of (3Á) · B? O (16.0m²)î + (15.0m²)k O 31 m2 (48.0m2)i + (45.0m2)k O 93 m2 O None of the above.
Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = t³i+5t²j, t = 4 T(4) = 8
The force F has a magnitude of 770 N. Express F as a vector in terms of the unit vectors i and j. Identify the x and y scalar components of F. Assume F-770 N, 8-23° Answers: F- i i+ i j) N Fx- i N Fy- i N
Three vectors are given, what is 3C · (2A × B)? Ã = 2î + 3ĵ – 4k B = -3î + 4ĵ + 2k Č = 7ì – 83
m = 3.0729 3. Consider the digits of your student number 20XY-FAITH. The wooden block (mass kg) is released from rest at A by a compressed spring (compressed length 0.6 m, undeformed length 1 m, spring constant k = 150 N/m). The block is allowed to slide through the rough horizontal surface (A to B), then along the smooth circular ramp (B to C, central angle 0 = 41.5 °), until the block is released after point C. Calculate the speed of the block at points B and C. Also, what is the magnitude of the normal force exerted to the block just before the block leaves the ramp? Neglect the geometry of the block. NOTE: Use Work-Energy Method to solve for the speeds, and use FMA Method to compute for the normal force. 0.6 m mmmmm 3.0729 kg A 1 m rough surface Hs = 0.35 Mk = 0.25 path of the block 1.5 m O B smooth surface Ө 1.5 m C
Answer must be in standard form scientific notation with SI units that do not have prefixes ( except for kg.) all angles and directions must be calculated to the nearest 0.1 deg. (Tenth of a degree) and entered in standard form scientific notation.