Question

A 6 kg rock is subject to a variable force given by the equation F(x) =...

A 6 kg rock is subject to a variable force given by the equation F(x) = 6 + 2x. IF the rock is initially at rest at the origin. find its speed when it has moved 9 m.

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Initial kinetic energy is zero.

Final kinetic energy is

Where v is the speed of the rock at x=9m.

Workdone by Force F(x) in moving the rock to a distance of 9 metres is

Since Force and displacement are in same direction therefore =0.

Therefore,

By work-energy theorem

Hence, speed of the rock at when it has moved 9m is

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A rock with mass m = 2.60 kg falls from rest in a viscous medium. The...
A rock with mass m = 2.60 kg falls from rest in a viscous medium. The rock is acted on by a net constant downward force of F = 19.8 N (a combination of gravity and the buoyant force exerted by the medium) and by a fluid resistance force f=kv, where v is the speed in m/s and k = 2.69 N×s/m a)Find the initial acceleration a0. b) Find the acceleration when the speed is 3.50 m/s . c)Find the...
A small rock moves in water, and the force exerted on it by the water is...
A small rock moves in water, and the force exerted on it by the water is given by equation f=kv f=kv . The terminal speed of the rock is measured and found to be 2.2 m/s m/s . The rock is projected upward at an initial speed of 5.7 m/s m/s You can ignore the buoyancy force on the rock
A single conservative force acts on a 5.00 kg particle. The equation Fx = (2x +...
A single conservative force acts on a 5.00 kg particle. The equation Fx = (2x + 4) N describes this force, where x is in meters. As the particle moves along the x axis from x = 3.00 m to x = 7.00 m, calculate the following. (a) the work done by this force on the particle J (b) the change in the potential energy of the system J (c) the kinetic energy the particle has at x = 7.00...
A small rock moves in water, and the force exerted on it by the water is...
A small rock moves in water, and the force exerted on it by the water is given by equation f=kvf=kv. The terminal speed of the rock is measured and found to be 1.8 m/sm/s . The rock is projected upward at an initial speed of 6.6 m/sm/s . You can ignore the buoyancy force on the rock. A)In the absence of fluid resistance, how high will the rock rise? B)In the absence of fluid resistance, how long will it take...
A particle of mass m, is under the influence of a force F given by F...
A particle of mass m, is under the influence of a force F given by F = Fo [(sin ωt)ˆi + (cos ωt) ˆj] where F0, ω are positive constants. If at t = 0 the particle is at rest at the origin, find (a) the equations of motion x (t) and y (t) of the particle, and (b) the work done by the force F from t = 0 to t = 2π/ω.
A conservative force F(x) acts on a 2.0 kg particle that moves along an x axis....
A conservative force F(x) acts on a 2.0 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 at x = 2.0 m, its velocity is -1.265 m/s. What is F(2.)? (sign gives direction) Between what positions on the left and right does the particle move? Left side? Right side? What is the particle's speed at x = 7.0 m
Find the extremum of​ f(x,y) subject to the given​ constraint, and state whether it is a...
Find the extremum of​ f(x,y) subject to the given​ constraint, and state whether it is a maximum or a minimum. f(x,y)=4y^2-12x^2; 2x+y=8.
A 6.0-kg block initially at rest is pulled to the right along a horizontal surface with...
A 6.0-kg block initially at rest is pulled to the right along a horizontal surface with a force of 12 N. The force of kinetic friction is 3N. a. Draw a free-body diagram of the situation. b. Find the work done by the 12 N force on the block to move the block 3m? c. Find the work done by the force of friction on the block when the block was moved 3m? d. Use the work-energy principle to find...
A body of mass m = 18.6 kg is attached to a spring with force constant...
A body of mass m = 18.6 kg is attached to a spring with force constant k = 14.3 N/m. This body, which is initially at its equilibrium position, is given an initial velocity of v = 7.8 m/s. What is the speed of this body when it is at position x = - 2.0 m? An object starting at rest rotates with constant angular acceleration α = 0.3 rad/s2 . What is the angular displacement after t = 3.0...
An 8.0 kg block initially at rest is pulled to the right by a 12 N...
An 8.0 kg block initially at rest is pulled to the right by a 12 N force on a horizontal surface. If there is a constant friction force of 4.0 N, calculate the speed of the block after it has moved 3.0 m.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT