At t = 0 the 4x1030Kg Sun has a velocity of <-7x104, -6x104, -8x104> m /...

At t = 0 the 4x1030Kg Sun has a velocity of <-7x104, -6x104, -8x104> m / s and is located at <-2.00x1012, -5.00x1012, -4.00x1012> m relative to the center of the universe. The mass of a second star is 3x1030Kg and its speed is <-2x104,1x104, -9x104> m / s and it is located at the position of <-2.03x1012,4.94x1012, -3.95x1012> m relative to the center of the universe.

a) What is the relative position vector of the Sun in relation to the other star? (make a small graphic representation)

b) Calculate the gravitational force on the Sun due to the second star. (make a small graphic representation)

c) What is the approximate linear momentum of the second star at t = 1x104s?

d) What is the approximate position of the second star at t = 1x104 s?

e) What is the new relative position vector of the Sun in relation to the other star? (make a small graphic representation)

f) What is the force experienced by the Sun due to the second star when t = 1x 104s? (assume that the position of the Sun has not changed, make a small graphic representation)

NOTE: You must use a minimum of 5 digits in all of your position, velocity, momentum, and force vector results.

Expert Solution

genius_generous answered 2 years ago

the position of a particle when t=0 is 9.0m and its velocity is 3.0 m/s. from...

the position of a particle when t=0 is 9.0m and its velocity is 3.0 m/s. from t=0 to t=3.5s the acceleration of a particle is a= 8 + 6t + 3t^2 + t^3 m/s^2 . From t=3.5s until it comes to rest, its acceleration is a= -8 m/s^2 . Determine the total travel time and the total distance.

At t = 0, a flywheel has an angular velocity of 10 rad/s, an angular acceleration...

At t = 0, a flywheel has an angular velocity of 10 rad/s, an angular acceleration of -0.44 rad/s2, and a reference line at ?0 = 0. (a) Through what maximum angle ?max will the reference line turn in the positive direction? What are the (b) first and (c) second times the reference line will be at ? = ?max/4? At what (d) negative time and (e) positive time will the reference line be at ? = -8.0 rad?

At t = 0, a flywheel has an angular velocity of 6.2 rad/s, an angular acceleration...

At t = 0, a flywheel has an angular velocity of 6.2 rad/s, an angular acceleration of -0.18 rad/s2, and a reference line at θ0 = 0. (a) Through what maximum angle θmax will the reference line turn in the positive direction? What are the (b) first and (c) second times the reference line will be at θ = θmax/5? At what (d) negative time and (e) positive time will the reference line be at θ = -7.7 rad?

At t= 0 the undamped oscillator is passing through the equilibrium point (x= 0) with a velocity of 3 m/s. What is the amplitude of the undamped oscillation?

A mass m is attached to a spring with spring constant k and is allowed to oscillate in a resistive medium where the resistance is proportional to the velocity of the mass and opposes the motion, i.e. F =-bv given m=0.01 kg k=1.44N/m a) At t= 0 the undamped oscillator is passing through the equilibrium point (x= 0) with a velocity of 3 m/s. What is the amplitude of the undamped oscillation? b) At what frequency should we drive the...

A stone is catapulted at time t = 0, with an initial velocity of magnitude 18.6...

A stone is catapulted at time t = 0, with an initial velocity of magnitude 18.6 m/s and at an angle of 37.0° above the horizontal. What are the magnitudes of the (a) horizontal and (b) vertical components of its displacement from the catapult site at t = 1.01 s? Repeat for the (c) horizontal and (d) vertical components at t = 1.76 s, and for the (e) horizontal and (f) vertical components at t = 5.11 s. Assume that...

When t = 0, the position of a point is s= 6m, and its velocity is...

When t = 0, the position of a point is s= 6m, and its velocity is v= 2m/s. From t = 0 to t= 6s, the acceleration of the point is a = 2+ 2t2 m/s2 .From t = 6s until it comes to rest, its acceleration is a = -4m/s2 a.) What is the total time of travel? b.) What total distance does the point move?

Initial Value Problem. Use Laplace transform. m''(t) + 6m'(t) + 25m(t) = cos(t) where m(0) =...

Initial Value Problem. Use Laplace transform. m''(t) + 6*m'(t) + 25*m(t) = cos(t) where m(0) = 1 and m'(0) = 1

Initial Value Problem. Use Laplace transform. m''(t) - m'(t) - 6*m(t) = e^(4t) where m(0) =...

Initial Value Problem. Use Laplace transform. m''(t) - m'(t) - 6*m(t) = e^(4t) where m(0) = 1 and m'(0) = 1

A bulldozer’s velocity (in m/s) at a time t is given by v(t)=t^2-t+3. (a)Estimate the displacement...

A bulldozer’s velocity (in m/s) at a time t is given by v(t)=t^2-t+3. (a)Estimate the displacement of the bulldozer on the time interval using 0≤t≤5 Midpoint Riemann Sum with 10 subintervals. Specify the value of,n ,Δx, and the chosen sample points. (b)Find the exact displacement of the object on the time interval 0≤t≤5 using the limit definition of the definite integral. Thank you,

A simple pendulum of length 0.50 m has a 0.30-kg bob. At t = 0, the...

A simple pendulum of length 0.50 m has a 0.30-kg bob. At t = 0, the bob passes through the lowest position in its motion, and at this instant it has a horizontal speed of 0.39 m/s . A. What is the maximum angular displacement ϑmax away from vertical that the pendulum reaches? B. What is the magnitude of the bob's linear speed v when it has angular displacement ϑmax/2?

Question