Question

In: Physics

A small object with mass mm = 0.0900 kg moves along the +x-axis. The only force...

A small object with mass mm = 0.0900 kg moves along the +x-axis. The only force on the object is a conservative force that has the potential-energy function U(x)=−αx2+βx3 where α = 4.50 J/m2 and β = 0.300 J/m3. The object is released from rest at small x.

1-When the object is at x = 4.00 m, what is its speed?

Express your answer with the appropriate units.

2-When the object is at x = 4.00 m, what is the magnitude of its acceleration?

Express your answer with the appropriate units.

3-What is the maximum value of x reached by the object during its motion?

Express your answer with the appropriate units.

Solutions

Expert Solution


Related Solutions

The only force acting on a 0.5 kg object as it moves along the x axis...
The only force acting on a 0.5 kg object as it moves along the x axis is given by         F = (4x i – 3x2y j ) N. where x and y in meter. The object starts moving with         velocity of 4 m/s. a) Find the work done by the force as the object moves from x = 1 to x = 3m.  b) What is the speed of the object at x = 3 m? please solve a &...
The only force acting on a 8 kg body as it moves along the x axis...
The only force acting on a 8 kg body as it moves along the x axis varies as shown in the figure. The velocity of the body at x = 0 is 8.0 m/s. What is the kinetic energy of the body at x =3.0 m? At what value of x will the body have a kinetic energy of 244.40 J? What is the maximum kinetic energy attained by the body between x = 0 and x = 5.0 m
Varible Force A 1.8 kg particle moves along an x axis, being propelled by a variable...
Varible Force A 1.8 kg particle moves along an x axis, being propelled by a variable force directed along that axis. Its position is given by  x = 3.0 m + (4.0 m/s)t + ct2 - (2.2 m/s3)t3, with x in meters and t in seconds. The factor c is a constant. At t = 3.0 s, the force on the particle has a magnitude of 36 N and is in the negative direction of the axis. What is c? in...
An object with mass m1= 3.00 kg is moving along the positive x-axis with a speed...
An object with mass m1= 3.00 kg is moving along the positive x-axis with a speed v1i=2 m/s straight towards two objects with masses m2= 2.00 kg and m3= 4.00 kg, which are initially at rest. When they collide, object 1 comes to rest and object 2 moves away with a speed of v2f=1.5 m/s at an angle of 50o from the incoming path of object 1. For everything that follows, use a coordinate system where the final path of...
An object moves along the x-axis according to the equation x = 3t ^ 3 - 2t ^ 2 + t along the x-axis.
An object moves along the x-axis according to the equation x = 3t ^ 3 - 2t ^ 2 + t along the x-axis. Find the instantaneous velocity at t = 2 s.A) 29 B) 18 C) 48 D) 43
1D Kinematics Problem: An object moves along the x axis according to the equation x =...
1D Kinematics Problem: An object moves along the x axis according to the equation x = 2.80t2 − 2.00t + 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t = 2.10 s and t = 3.40 s. (b) Determine the instantaneous speed at t = 2.10 s. Determine the instantaneous speed at t = 3.40 s. (c) Determine the average acceleration between t = 2.10 s and t = 3.40 s....
A 0.150 kg particle moves along an x axis according to x(t) = −13.00 + 2.00t...
A 0.150 kg particle moves along an x axis according to x(t) = −13.00 + 2.00t + 3.50t2 − 2.50t3, with x in meters and t in seconds. In unit-vector notation, what is the net force acting on the particle at t = 3.55 s? F with arrow = ______ N
An object is at x = 0 at t = 0 and moves along the x...
An object is at x = 0 at t = 0 and moves along the x axis according to the velocity
Consider a 2.0-kgkg object that moves along the x axis according to the expression x(t)=ct3x(t)=ct3, where...
Consider a 2.0-kgkg object that moves along the x axis according to the expression x(t)=ct3x(t)=ct3, where cc = +0.230 m/s3m/s3 . Determine the xx component of the object's average velocity during the interval from titi = 0.500 ss to tftf = 1.50 ss. Use all significant digits provided by your calculator? Repeat for the interval from titi = 0.950 ss to tftf = 1.05 ss. Use all significant digits provided by your calculator? Repeat for the interval from titi =...
An object with mass 0.190 kg is acted on by an elastic restoring force with force...
An object with mass 0.190 kg is acted on by an elastic restoring force with force constant 10.3 N/m. The object is set into oscillation with an initial potential energy of 0.150 J and an initial kinetic energy of 6.90×10−2 J. A) What is the amplitude of oscillation? Express your answer with the appropriate units. A= B) What is the potential energy when the displacement is one-half the amplitude? Express your answer with the appropriate units. U= C) At what...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT