In this question the unit vectors i and j are in the directions east and north respectively. A particle R of mass 2kg is moving on a smooth horizontal surface under the action of a single horizontal force FN. At time t seconds, the velocity vms of R, relative to a fixed origin O, is given by v = (pr -31)i+ (8t+q)j, where p and q are constants and p< 0. (a) Given that when t = 0.5 the magnitude of F is 20, find the value of p.

In this question the unit vectors i and j are in the directions east and north respectively. A particle R of mass 2kg is moving on a smooth horizontal surface under the action of a single horizontal force FN. At time t seconds, the velocity vms of R, relative to a fixed origin O, is given by v = (pr -31)i+ (8t+q)j, where p and q are constants and p< 0. (a) Given that when t = 0.5 the magnitude of F is 20, find the value of p.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: Do Chapter 12, Problem 5. This is an integration problem, to calculate the center of mass (center of…

A: The variation in height, yx=hxl-12 → 1 M=ρt∫0l yx dx → 2…

Q: A bullet of mass m is traveling at an unknown velocity in the right direction. It is fired at a…

Q: When a basketball player takes a standing shot, a coordinate system Oxy is formed with the center of…

Q: Question 4. An object of the mass m=2 kg moves along the axis «x» from the initial point x(0)=0 m…

Q: A block of mass m1 = 17.4 kg is on a frictionless table to the left of a second block of mass m2 =…

A: Given: Mass of the block on the left side, m1=17.4 kg Mass of the block on the right side, m2=23.2…

Q: Consider a rocket that is in deep space and at rest relative to an inertial reference frame. The…

A: From differential equation of rocket motion we have,v2-v1=u lnm∘mfwhere,u is the speed of the…

Q: If three point masses m, m2, and m3 have position vectors r,, r2, and r3 respectively, relative to…

Q: Suppose a space probe of mass m1 = 4150 kg expels m2 = 3500 kg of its mass at a constant rate with…

A: Given data: The total mass of space probe is m1=4150 kg. The mass expels by space probe is m2=3500…

Q: An unstable nucleus of mass 1.7 x 10-26 kg, initially at rest at the origin of a coordinate system,…

A: Use the conservation of momentum to solve for the velocity of the third particle.…

Q: A projectile of mass 1 is fired at an angle of 45°. If it lands 100m away, what was the initial…

Q: A block of mass M is attached to a spring of negligible mass and can slide on a horizontal surface…

A: The net force on the block due to the spring is given as F = -kx where k is the spring constant and…

Q: A bird and an insect fly directly towards each other on a horizontal trajec- tory. The mass of the…

Q: A 9 kg space rock has velocity vector v = 17 i (m/s). It collides with a second 12 kg space rock,…

Q: Three spheres, each of mass m, can slide freely on a frictionless, horizontal surface. Spheres A and…

Q: A particle moves in the horizontal xy plane. A variable force acts on the particle with expression…

Q: A 0.8 kg block of wood is sliding across a floor at 2 m/s when a half-gram nail from a nail gun…

Q: Three beads are placed on the vertices of an equilateral triangle of side d = 4.1 cm. The first bead…

Q: H) If m, Skg, m, = 25kg,u, 4Sm/s and 8 30°, find the final speeds v and vy of the two objects. #)…

A: Mass, m1 = 5 kg Mass, m2= 2.5 kg Speed of m1 before collision, u1 = 4.5 m/s Angle made with the…

Q: Two rolling carts are moving toward each other at the same constant speed of 10m/s. Cart 1 travels…

A: mass of first cart = 0.2 kg mass of second cart = 0.4 kg initial velocity of first cart = 10 ms…

Q: Two manned satellites approaching one another at a relative speed of 0.150 m/s intend to dock. The…

A: To determine,(a) the final velocity after docking, in the frame of reference in which the first…

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A particle of mass 25 kg moves in a straight line such that the force (in Newtons) acting on it at time ₺ (in seconds) is given by 225 to +175 + + 200. If at time t = 0 its velocity, v (in ms-¹), is given by v(0) = 14, and its position (in m) is given by (0) = 10, what is the position of the particle at time t? l The position is m.
For a ballistic pendulum, if the length L = 1.64 meter, angle of deflection from vertical θ = 20.8 degree, the mass of the bullet m = 12.1 gram, and the mass of the catcher M = 646 gram, the velocity (m/s) of the bullet is
Suppose an object of mass m, initially travelling with a velocity v1, collides with an object of mass m initially at rest. Prove that the angle between the velocity vectors of the two objects of the two particles after the collision is 90 degrees.
In the figure, two particles are launched from the origin of the coordinate system at time t - O. Particle 1 of mass m₁ - 5.20 g is shot directly along the x axis (on a frictionless floor), where it moves with a constant speed of 10.7 m/s. Particle 2 of mass m₂ -4.50 g is shot with a velocity of magnitude 15.6 m/s, at an upward angle such that it always stays directly above particle 1 during its flight. (a) What is the maximum height Hmax reached by the com of the two-particle system? In unit-vector notation, what are the (b) velocity and (c) acceleration of the com when the com reaches Hmax? (a) Number 3.05 (b) Number 10.7 (c) Number 0 Units i+ 0 m 3.3 j Units m/s j Units m/s^2
Consider the two pucks moving on a flat, icy surface. The pucks are connected by a cord of length l. At time t = 0, a force F starts to pull the center of the cord to the right. At time t, the two pucks collide and stick together. At this time, the force has moved through a distance d, and the pucks have attained a speed v (position (b) in the figure). Assume the pucks have equal mass m, are initially at rest, the surface is frictionless, and that the cord's mass can be neglected. dCM F F m t= 0 t= t (a) What is v in terms of F, d, l, and m? V = (b) How much of the energy transferred into the system by work done by the force has been transformed to internal energy? (Use the following as necessary: F, d, e, and m.) ΔΕ, %3D int
On a frictionless plane, a body with mass m1 hits with velocity v a second body at rest (mass m2) and connects to it. Subsequently, the composite body hits via a spring (spring constant k) a third body at rest (mass m3). a) Determine the speed v of the mass m1 such that m3 remains at rest, if the plane solely at the location of m3 is rough (coefficient of static friction μ0). b) Determine the speed of m3 after collision if the plane at the location of m3 is also frictionless.
The mass of a particular skateboard plus its rider is ms=78.6kg, and the skateboarder is holding a book with mass mb=3.07kg. Initially at rest, the skateboarder tosses the textbook with a velocity of vb=2.74m/s at an angle θ=24.3∘ above the horizontal, and the book is caught by a friend. Calculate the magnitude, in meters per second, of the velocity of the student. What is the magnitude, in newton seconds, of the momentum, pE, which was transferred to the the Earth during the time the book was being thrown?