The net force exerted on a particle acts in the +x direction. Its magnitude increases linearly...
The net force exerted on a particle acts in the +x direction. Its magnitude increases linearly from zero at x = 0, to 22.0 N at x = 3.5 m . It remains constant at 22.0 N from x = 3.5 m to x = 8.0 m , and then decreases linearly to zero at x = 13.0 m . A) Determine the work done to move the particle from x = 0 to x = 13.0 m graphically by determining the area under the F x vs. x graph
Homework Answers
The graph of the Force vs displacement for the given problem is shown below:
The area of a trapezium is given by
which gives us
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The net force exerted on a particle acts in the +x direction.
Its magnitude increases linearly...
The magnitude of the net force exerted in the x direction on a 3.90-kg particle varies in time as shown in the figure b...
The magnitude of the net force exerted in the x direction on a
3.90-kg particle varies in time as shown in the figure below.
(a) Find the impulse of the force over the 5.00-s time interval.
I = ? (N · s)
(b) Find the final velocity the particle attains if it is
originally at rest. Vf = ? (m/s)
(c) Find its final velocity if its original velocity is -3.10 i
m/s. Vf = ? (m/s)
(d) Find the...
A single, nonconstant force acts in the +?+x direction on an 5.06 kg5.06 kg object that...
A single, nonconstant force acts in the +?+x direction on an 5.06 kg5.06 kg object that is constrained to move along the ?x‑axis. As a result, the object's position as a function of time is ?(?)=?+??2+??4?=7.38 m?=4.57 m/s2?=0.478 m/s4x(t)=A+Bt2+Ct4A=7.38 mB=4.57 m/s2C=0.478 m/s4 How much work is done by this force from ?=0 st=0 s to ?=2.34 s?
46 and 47 Please, 46. Determine the magnitude and direction of the electric force exerted by...
46 and 47 Please,
46. Determine the magnitude and direction of the electric force exerted by a 25-nC charged particle located at the origin of a Cartesian coordinate system on a 20-nC charged particle located at (2.0 m, 2.0 m). Draw a diagram illustrating the vari- ous quantities in your calculation. 47. The electric force between two identical positively charged ions is 3.7 X 109 N when they are 0.50 nm apart. How many electrons are missing from each of...
Exercises 1. Suppose a force acts on a 4.00 kg object in the x-direction. The force varies with t...
Exercises 1. Suppose a force acts on a 4.00 kg object in the x-direction. The force varies with time and is given by F(t)12.0t3 - 8.00 N. At t -0, the object has a velocity of 3.00 m/s in the positive x-direction. Use the impulse-momentum theorem to find the object's velocity after 2.00 s. 2. In a lab experiment, a spring gun projects a metal sphere. The sphere leaves the spring gun with a velocity of 3.00 m/s in the...
A conservative force F(x) acts on a 1.7 kg particle that moves along an x axis....
A conservative force F(x) acts on a 1.7 kg particle that moves along an x axis. The potential energy U(x) associated with F(x) is graphed in the figure. When the particle is atx-2.0 m, its velocity is -1.7 m/s. (a) What is F(x) at this position, including sign? Between what positions on the (b) left and (c) right does the particle move? (d) what is its particle's speed at x = 7.0 m? x (m) 0 10 15 0 -5...
Question 3 A single force acts on a 1.2 kg particle-like object in such a way...
Question 3 A single force acts on a 1.2 kg particle-like object in such a way that the position of the object as a function of time is given by x = 1.0t - 3.22 + 3.5+, with x in meters and t in seconds. Find the work done on the object by the force from t = 0 to t = 5.9 s. Number Units the tolerance is +/-2%
A particle is subject to a force Fx that varies with position as shown in the...
A particle is subject to a force Fx that varies with position as shown in the following figure. F (N) 3 2 1 x (m) 0 2 4 6 8 10 12 14 16 (a) Find the work done by the force on the particle as it moves from x = 0 to x = 2.00 m. (b) Find the work done by the force on the particle as it moves from x = 5.00 m to x = 7.00...
force Fx acts on a particle that has a mass of 2 kg. The force is...
force Fx acts on a particle that has a mass of 2 kg. The force is related to the position x of the particle by the formula F 3, where C-0.5 if x is in meters and Fy is in Newton (a)What are the SI units of C? (Use the following as necessary: N and m.) (b) Find the work Wdone by this force as the partidle moves from x - 2.8 m to x - 1.6 m (C) At...
Find the direction and magnitude of the net electrostatic force exerted on the point charge q2 in the figure below
Find the direction and magnitude of the net electrostatic force exerted on the point charge q2 in the figure below. Let q = +2.7 µC and d = 33cm.Direction° (from the x-axis, which points to the rightMagnitude_______ N
A single conservative force acts on a 4.50-kg particle within a system due to its interaction...
A single conservative force acts on a 4.50-kg particle within a system due to its interaction with the rest of the system. The equation Fx = 2x + 4 describes the force, where Fx is in newtons and x is in meters. As the particle moves along the x axis from x = 1.10 m to x = 6.55 m, calculate the following. (a) the work done by this force on the particle J (b) the change in the potential...
The magnitude of the net force exerted in the x direction on a
3.90-kg particle varies in time as shown in the figure below.
(a) Find the impulse of the force over the 5.00-s time interval.
I = ? (N · s)
(b) Find the final velocity the particle attains if it is
originally at rest. Vf = ? (m/s)
(c) Find its final velocity if its original velocity is -3.10 i
m/s. Vf = ? (m/s)
(d) Find the...
46 and 47 Please,
46. Determine the magnitude and direction of the electric force exerted by a 25-nC charged particle located at the origin of a Cartesian coordinate system on a 20-nC charged particle located at (2.0 m, 2.0 m). Draw a diagram illustrating the vari- ous quantities in your calculation. 47. The electric force between two identical positively charged ions is 3.7 X 109 N when they are 0.50 nm apart. How many electrons are missing from each of...
Exercises 1. Suppose a force acts on a 4.00 kg object in the x-direction. The force varies with time and is given by F(t)12.0t3 - 8.00 N. At t -0, the object has a velocity of 3.00 m/s in the positive x-direction. Use the impulse-momentum theorem to find the object's velocity after 2.00 s. 2. In a lab experiment, a spring gun projects a metal sphere. The sphere leaves the spring gun with a velocity of 3.00 m/s in the...
A conservative force F(x) acts on a 1.7 kg particle that moves along an x axis. The potential energy U(x) associated with F(x) is graphed in the figure. When the particle is atx-2.0 m, its velocity is -1.7 m/s. (a) What is F(x) at this position, including sign? Between what positions on the (b) left and (c) right does the particle move? (d) what is its particle's speed at x = 7.0 m? x (m) 0 10 15 0 -5...
Question 3 A single force acts on a 1.2 kg particle-like object in such a way that the position of the object as a function of time is given by x = 1.0t - 3.22 + 3.5+, with x in meters and t in seconds. Find the work done on the object by the force from t = 0 to t = 5.9 s. Number Units the tolerance is +/-2%
A particle is subject to a force Fx that varies with position as shown in the following figure. F (N) 3 2 1 x (m) 0 2 4 6 8 10 12 14 16 (a) Find the work done by the force on the particle as it moves from x = 0 to x = 2.00 m. (b) Find the work done by the force on the particle as it moves from x = 5.00 m to x = 7.00...
force Fx acts on a particle that has a mass of 2 kg. The force is related to the position x of the particle by the formula F 3, where C-0.5 if x is in meters and Fy is in Newton (a)What are the SI units of C? (Use the following as necessary: N and m.) (b) Find the work Wdone by this force as the partidle moves from x - 2.8 m to x - 1.6 m (C) At...
Find the direction and magnitude of the net electrostatic force exerted on the point charge q2 in the figure below. Let q = +2.7 µC and d = 33cm.Direction° (from the x-axis, which points to the rightMagnitude_______ N
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