Problem 4: A student standing on a stationary skateboard tosses a textbook with a mass of mp = 1.4 kg to a friend standing in front of him. The student and the skateboard have a combined mass of m. = 106 kg and the book leaves his hand at a velocity of v = 4.17 m/s at an angle of 21° with respect to the horizontal. Randomized Variables mp = 1.4 kg m. = 106 kg Vh = 4.17 m/s 0 = 21° Part (a) Write an expression for the magnitude of the velocity of the student, vs, after throwing the book. Expression : 's = Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(o), cos(0), sin(a), sin(4), sin(0), a, 0, d, g, m, m,, me, t, Vp Part (b) Calculate the magnitude of the velocity of the student, vg, in meters per second. Numeric : A numeric value is expected and not an expression. 's = Part (c) What is the magnitude of the momentum, pe, which was transferred from the skateboard to the the Earth during the time the book is being thrown (in kilogram meters per second)? Numeric A numeric value is expected and not an expression. Pe =

Problem 4: A student standing on a stationary skateboard tosses a textbook with a mass of mp = 1.4 kg to a friend standing in front of him. The student and the skateboard have a combined mass of m. = 106 kg and the book leaves his hand at a velocity of v = 4.17 m/s at an angle of 21° with respect to the horizontal. Randomized Variables mp = 1.4 kg m. = 106 kg Vh = 4.17 m/s 0 = 21° Part (a) Write an expression for the magnitude of the velocity of the student, vs, after throwing the book. Expression : 's = Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(o), cos(0), sin(a), sin(4), sin(0), a, 0, d, g, m, m,, me, t, Vp Part (b) Calculate the magnitude of the velocity of the student, vg, in meters per second. Numeric : A numeric value is expected and not an expression. 's = Part (c) What is the magnitude of the momentum, pe, which was transferred from the skateboard to the the Earth during the time the book is being thrown (in kilogram meters per second)? Numeric A numeric value is expected and not an expression. Pe =

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter9: Dynamics Of A System Of Particles

Section: Chapter Questions

Problem 9.35P

See similar textbooks

Similar questions

A student standing on a stationary skateboard tosses a textbook with a mass of mb = 1.8 kg to a friend standing in front of him. The student and the skateboard have a combined mass of mc = 113 kg and the book leaves his hand at a velocity of vb = 4.36 m/s at an angle of 34° with respect to the horizontal.Randomized Variablesmb = 1.8 kgmc = 113 kgvb = 4.36 m/sθ = 34°Calculate the magnitude of the velocity of the student, vs, in meters per second. What is the magnitude of the momentum, pe, which was transferred from the skateboard to the the Earth during the time the book is being thrown (in kilogram meters per second)?
A neutron with mass m1 moving with velocity v0 collides elastically and head-on with a target particle with mass m2 that is at rest. After the collision, the neutron moves with velocity v1f and the target particle moves with velocity v2f. Write the two equations that express conservation of momentum and conservation of kinetic energy for this collision. Consider collisions of the neutron (mass = 1.0 atomic mass unit (amu)) with the following stationary target particles an electron (mass =5 x 10-4 amu) a proton (mass = 1.0 amu) the nucleus of a carbon atom (mass = 12.0 amu) the nucleus of a uranium atom (mass = 238 amu) Match some of the collisions above with each of the following head-on collisions that we discussed in lecture: the collision between two billiard balls, one of the billiard balls initially at rest the collision between a ping pong ball and a bowling ball, the ping pong ball initially at rest the collision between a ping pong ball and a bowling ball, the bowling…
Suppose a satellite has a mass of 1950 kg and is orbiting at 7.9 km/s. Use the approximation that y 1+(1/2)(c) at low velocities. Randomized Variables m = 1950 kg v = 7.9 km/s Part (a) What is the relativistic momentum of the satellite in kilogram meters per second? Part (b) Find the fractional difference between the relativistic and non-relativistic momenta, (p - Pnr)/Pnr (p-Par Por= Gra Dedi Pote
Consider the following statement: “The concept is particularly important when there is interaction between two or more bodies. Where, considering two particles, each one of the particles will exert a force on the other, where according to Newton's third law, the two forces will have the same magnitude and the same direction, but they will be in opposite directions" This conceptualizes: (a) continuity equation (b) Linear momentum (c) Newton's First Law (d) Second Law of Thermodynamics (e) Quantum Mechanics Equation
Suppose an alpha particle (which has a mass of 6.645 × 10-27 kg) is moving at 0.21c.Randomized Variablesv = 0.21 c What is the momentum of the alpha particle in kg ⋅ m/s?
A student of mass m1= 57 kg stands on a long cart of mass m2=135 kg initially at text. He begins to run in the cart with a speed relative to the ground of v1=3.3 m/s. Randomized Varibles M1= 57 kg M2= 135 Kg V1= 3.3 m/s (A) write an expression for the horizontal component of the carts velocity relative to the ground while the student is running, in terms of the variables given in the problem statement. Assume the student is running in the positive X direction. (B) what is the velocity in meters per second? (C) what is the horizontal component of the students velocity relative to the cart, in meters per second? Use a coordinate system fixed to the cart which has the same orientation for the X axis as a system fix to the ground we defined in part (a).
(a) Find the momentum of a 1.00×109 kg asteroid heading towards the Earth at 30.0 km/s . (b) Find the ratio of this momentum to the classical momentum. (Hint: Use the approximation that γ = 1 + (1 / 2)v2 / c2 at low velocities.)
(a) Find the momentum of a 1.00109 kg asteroid heading towards the Earth at 30.0 km/s. (b) Find the ratio of this momentum to the classical momentum. (Hint: Use the approximation that =1+(1/2)v2/c2 at low velocities.)
Consider a box of mass 8.5 kg begin accelerated along the floor at 3.1 m/s^2. Randomized Variables M=8.5 kg Ax=3.1 m/s^2 If this block is being accelerated from rest for a time period of 12s, what is the net work, in joules, being done on it?
Why it is necessary to consider that mass of a particle is a function of its velocity?
Show that the kinetic energy of a particle of mass m is related to the momentum p of that particleby, E =p^2/2m. (Hint: plug mv in for p and simplify!)
What is the velocity of an electron that has a momentum of 3.04×10-21 kg⋅m/s ? Note that you must calculate the velocity to at least four digits to see the difference from c .