A Lego brick of mass m is initially at the origin and moving to the right across a frictionless surface with a speed of V0. A force that varies with position is then applied to the brick. The force is given by: F(x) = 2x² What is the speed of the brick after it has moved from x = 0 to x = d? 4d³ +v0 V3m 4d³ + vo 3m 04d³ +mvo² 2 2d² + vo m 4d³ 3m + v0² 54°F HI C 3'

A Lego brick of mass m is initially at the origin and moving to the right across a frictionless surface with a speed of V0. A force that varies with position is then applied to the brick. The force is given by: F(x) = 2x² What is the speed of the brick after it has moved from x = 0 to x = d? 4d³ +v0 V3m 4d³ + vo 3m 04d³ +mvo² 2 2d² + vo m 4d³ 3m + v0² 54°F HI C 3'

Name: 14.(VIIILJ)A Lego brick of mass m is initially at the origin and movi
Uploaded: 2024-03-20T06:57:37.000Z
Channel: Bartleby
Description: 14.(VIIILJ)A Lego brick of mass m is initially at the origin and moving to the right across africtionless surface with a speed of Vo.MA force that varies with position is then applied to the brick. The force is given by:F(x) = 2x2What is the speed o

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

If object B also has 24 J of kinetic energy, is it moving faster or slower than object A? Find the ratio of the speeds of objects A and B. By what factor does the speed of each object change if total work -12 J is done on each?
The drawing shows two boxes resting on frictionless ramps. One box is relatively light and sits on a steep ramp. The other box is heavier and rests on a ramp that is less steep. The boxes are released from rest at A and allowed to slide down the ramps. The two boxes have masses of 10 and 31 kg. If A and B are 3.0 and 1.5 m, respectively, above the ground, determine the speed of (a) the lighter box and (b) the heavier box when each reaches B. (c) What is the ratio of the kinetic energy of the heavier box to that of the lighter box at B? (a) VB= (b) VB= (c) KEheavier KElighter Number i Number i Number i VA= 0 m/s "A=0 m/s AT K HA B hg Units Units Units <
A particle of mass m moves along the x axis. Its position varies with time according to x = and t is in seconds. Determine the velocity v(t) of the particle as a function of t. Determine the acceleration a(t) of the particle as a function of t. Determine the power P(t) delivered to the particle as a function of t. Determine the work W done on the particle by the net force from t = 0 tot = t₁ in terms of defined variables and numerical constants. v(t) = a(t): = P(t) = W = 6t³ - 6t2, where x is in meters
You are pushing a refrigerator across the floor of your kitchen. You exert a horizontal force of 318 N for 7.4 s, during which time the refrigerator moves a distance of 2.7 m at constant velocity. (a) What is the total work (by all forces) done on the refrigerator? J (b) What is the work done by friction? J
Consider an object of mass m = 4 kg on a frictionless table. The object experiences a repulsive force F = a/x2 + b/x, where F is in newtons and x is the position of the object relative to the origin. Write an expression for the work done by the repulsive force on the object as it moves from an initial position of x1 to a final position of x2. If the object starts at a position of x1 = 8.5 m apart, how much work, in joules, is required by an external force to bring it to a position of x2 = 2.5 m apart when a = 19 and b = 11? If the object starts at rest at a position x3 = 1.3 m and is released, at what speed v, in meters per second, will the object be moving when it is at position x4 = 12.5 m?
A small sphere of mass m is launched horizontally over a body of water from a height h above the water and with a launch speed v0. Determine expressions for the following in terms of m, v0, h, and g. Air resistance is negligibly small. W is the amount of work done by the force of gravity on the projectile during its flight. ΔKE is the change in kinetic energy ΔKE of the projectile from the time it was fired until it hits the water. KEf is the final kinetic energy KEf of the projectile as it hits the water.
The drawing shows two boxes resting on frictionless ramps. One box is relatively light and sits on a steep ramp. The other box is heavier and rests on a ramp that is less steep. The boxes are released from rest at A and allowed to slide down the ramps. The two boxes have masses of 8 and 33 kg. If A and B are 4.5 and 0.5 m, respectively, above the ground, determine the speed of (a) the lighter box and (b) the heavier box when each reaches B. (c) What is the ratio of the kinetic energy of the heavier box to that of the lighter box at B? (a) VB= (b) VB= (c) KEheavier KElighter Number i Number i = Number i VA= 0 m/s A HA B- hg VA= 0 m/s Units Units Units
4. Here we prove a version of the work-kinetic energy theorem for an object moving in 1-D subject to a constant force. Consider a mass m, traveling initially at speed v, on which a constant net force F is applied in the same direction as its motion over a distance d. After the net force has acted over this distance, the speed of the object is v2. In terms of m, F, v1, v2, and d only, V, A) What is the acceleration of the mass? t=0 m F d t>0_m B) What is the time over which the mass travels the V, distance d? [Use one equation of constant acceleration to find this.] C) Use another equation of constant acceleration to relate m, F, v,, v2, and d. Show that the product W = Fd is equal to the change in the mass’s kinetic energy.
A particle of mass m = 1.50 kg moves along one dimension and is subject to a single force, whose potential energy function is given by U(x) = x4 – 2x2 + 4 (where U is measured in Joules and x is measured in meters). At the moment when the particle is located at position x = 1.50 m, its speed is v = 2.50 m/s. %3D
A stone of mass 1.0 kg is dropped from rest at the top of a 100.0 meter high building. Assume there is no air resistance. What is the kinetic energy of the stone just before it strikes the ground? The following numerical values may be helpful in this question. G = 6.67 ∙10-11 N∙m2/ kg2 Earth’s mass = 5.98 · 1024 kilograms g = 9.80 m/sec2 1 kilometer = 1000 meters
PRINTER VERSION 1 BACK NEXT Chapter 07, Problem 001 A proton (mass m = 1.67 x 1027 kg) is being accelerated along a straight line at 4.60 x 1010 m/s2 in a machine. If the proton has an initial speed of 4.00 x 105 m/s and travels 1.10 cm, what then is (a) its speed and (b) the increase in its kinetic energy? (a) Number Units (b) Number Units Click if you would like to Show Work for this question: Open Show Work Question Attempts: Unlimited SAVE FOR LATER SUBMIT ANSWER 6:53 PM ENG search 3/30/2021 pause break prt sc insert delete 13) ohome 10 end mpgup 12Pgdn 45 %23 backspc 3 5. 8.
The drawing shows two boxes resting on frictionless ramps. One box is relatively light and sits on a steep ramp. The other box is heavier and rests on a ramp that is less steep. The boxes are released from rest at A and allowed to slide down the ramps. The two boxes have masses of 14 and 49 kg. If A and B are 6.5 and 1.5 m, respectively, above the ground, determine the speed of (a) the lighter box and (b) the heavier box when each reaches B. (c) What is the ratio of the kinetic energy of the heavier box to that of the lighter box at B? (a) VB= (b) VB = (c) KEheavier KElighter Number i Number i = Number i VA = 0 m/s MA B hB VA = 0 m/s Units Units Units < <