3.4 • CALC The position of a squirrel running in a park is given by7 = [(0.280 m/s)t + (0.0360 m/s²)²]î + (0.0190 m/s³)j. (a) What are v,(t) and vy(t), the' x- and y-components of the. velocity of the squirrel, as functions of time? (b) At t = 5.00 s, how far is the squirrel from its initial position? (c) At r = 5.00 s, what are the magnitude and direction of the squirrel's velocity?

3.4 • CALC The position of a squirrel running in a park is given by7 = [(0.280 m/s)t + (0.0360 m/s²)²]î + (0.0190 m/s³)j. (a) What are v,(t) and vy(t), the' x- and y-components of the. velocity of the squirrel, as functions of time? (b) At t = 5.00 s, how far is the squirrel from its initial position? (c) At r = 5.00 s, what are the magnitude and direction of the squirrel's velocity?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter10: Systems Of Particles And Conservation Of Momentum

Section: Chapter Questions

Problem 1PQ

See similar textbooks

Similar questions

Bryce, a mouse lover, keeps his four pet mice in a roomy cage, where they spend much of their spare time (when they are not sleeping or eating) joyfully scampering about on the cage's floor. Bryce tracks his mice's health diligently and just now recorded their masses as 10.3 g,18.5 g,11.3 g, and 18.3 g. At this very instant, the x‑ and y‑components of the mice's velocities are, respectively, (0.115 m/s, −0.527 m/s), ,(−0.237 m/s, −0.391 m/s), ,(0.843 m/s, 0.455 m/s), and (−0.897 m/s, 0.135 m/s). Calculate the x‑ and y‑components of Bryce's mice's total momentum, px and Py. px____kg.m/s py ____kg.m/s
ii. The speed of car when passing a point Q is 35 ms-1 and changes uniformly over a distance of 325 m to 60 ms-1 . Calculate the speed of the car 4.0 s after passing point Q.
Consider a car moving at highway speed u. Is its actual kinetic energy larger or smaller than 1/2 mu2? Make an order-of-magnitude estimate of the amount by which its actual kinetic energy differs from 1/2 mu2. In your solution, state the quantities you take as data and the values you measure or estimate for them. You may find Appendix B.5 useful.
For an object, the state of rest is considered to be the state of ______ speed. A) increasing B) C) inverse D) zero
Rank the following quantities of energy from largest to smallest. State if any are equal. (a) the absolute value of the average potential energy of the SunEarth system (b) the average kinetic energy of the Earth in its orbital motion relative to the Sun (c) the absolute value of the total energy of the SunEarth system
A ball of mass m falls freely from the ground at height h and touches a spring of height h0. The coefficient of the spring is k. Find the length of the ball compressed and how long it takes for the ball's speed to become zero and how long it takes for the ball to return to height h0.
please help me with this problem. Given: A ball of clay mass M/8 A larger mass as known as M is attached to a spring with spring constant k. A ball of clay mass "M/8" moves with speed "v" towards a larger mass M. As the a ball of clay hit and sticks on the a larger mass who was initially still. a) What would be the speed of the combination after the collision? b) How much did the spring compressed c) How long did it take for the spring to be compressed due to the collision?
On a flat, frictionless table, two blocks (B1 of mass 2.00 kg and B2 of mass 3.00 kg) are pressed together against either end of an ideal massless spring. The spring stores 75.0 J of elastic potential energy. The blocks are not attached to the spring. What will the coefficient of restitution be if both blocks are released simultaneously?
A military aircraft that has a mass of 1.21 x 103 kilogram accelerates at 316 m/s for 15 seconds from an initial speed of 2784 m/s a. How fast will be the military aircraft be travelling after 15 seconds b. How much KE has the rocket gained
Classical Mechanics. A block of mass m = 5.00-kg is moving to the right with a speed of v = 2.00 m/s on a horizontal, frictionless surface. The block encounters a relaxed (that is, neither compressed nor extended) spring with spring constant k = 2,000.00 N/m. a. What is the kinetic energy of the block before hitting the spring? b. What is the kinetic energy of the block when the spring is at maximum compression? c. How much energy is stored in the spring at maximum compression? d. How far does the spring compress at its maximum compression? e. If the spring converts its stored energy completely into motion of the block, what is the speed of the block after release from the spring? f. (For this part of the problem, the surface is not frictionless) Suppose the speed of the block after release from the spring is 1.5 m/s to the left, how much work (sign and magnitude) was done by non-conservative forces between the time when the initial velocity is 2.00 m/s and the time when the velocity =…
a superball with mass mequal to 50 grams is dropped from a height of hi=1.5m . It collides with a table, then bounces up to a height of hf=1.0m . The duration of the collision (the time during which the superball is in contact with the table) is tc=15ms . In this problem, take the positive y direction to be upward, and use g=9.8m/s2 for the magnitude of the acceleration due to gravity. Neglect air resistance. a) Find the y component of the momentum, p before y, of the ball immediately before the collision. b) Find the y component of the momentum of the ball immediately after the collision, that is, just as it is leaving the table. c) Find Jy, the y component of the impulse imparted to the ball during the collision.
A block A, of mass m = 10 Kg, compresses a spring of constant K = 1000 N / m in a length x = 3 cm. Starting from rest, the block is released, which moves from that moment on a horizontal surface without friction until it collides with another block B of mass m = 40 Kg, which was at rest. (Perfectly inelastic shock) and together they go up the channel (inclined surface) without friction, to later continue along a second horizontal plane without friction, at a height h with respect to the first (see Figure). Determine the energy variation that occurs in the collision .