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The position of a particle is given in cm by x = (5) cos 5?t, where t is in seconds.
(a) Find the maximum speed.
m/s
(b) Find the maximum acceleration of the particle.
m/s2
(c) What is the first time that the particle is at x = 0 and moving in the +x direction?
s
A cart of mass M = 1.2 kg can roll without friction on a level track. A light string draped over a light, frictionless pulley connects the cart to a hanger with mass m = 0.5 kg. The cart is released from rest, allowing it to roll, pulled by falling h..
As part of the safety investigation, two 1400 {rm kg} cars travelling at 23 {rm m/s} are crashed into different barriers. Find the average forces exerted on (a) car that hits a line of water barrels and takes 1.7 {rm s} to stop, and (b) car that hits..
A tourist being chased by an angry bear is running in a straight line toward his car at a speed of 3.7 m/s. The car is a distance d away. The bear is 30 m behind the tourist and running at 6.0 m/s. The tourist reaches the car safely. What is the m..
The amplitude of the electric field of an electromagnetic wave is 197 V/m.
In a control system, an accelerometer consists of a 4.99-g object sliding on a calibrated horizontal rail, Find the force constant of the spring required for the calibration to be correct
A Volleyball is spiked so that it has an initial velocity of 15 m/s directed downward at an angle of 55 degrees below the horizontal. Find the horizontal component of the ball’s velocity when the opposing player fields the ball?
plan a free-body diagram for the charge.
A 225-m length of wire stretches between two towers and carries a 180-A current. Determine the magnitude of the force on the wire due to the Earth's magnetic field
A 100 Ohm resistor dissipates heat to its surroundings, isothermally. The resistor maintains a constant temperature of 300 K. What is the change in entropy of the resistor
Find the x and y components of vector v = (8.0 cm/s, -x direction) (answer should be in cm/s), Find the x and y components of vector d = (4.0 km, 33 degress left of the + y axis)
A 2.47 kg steel ball strikes a massive wall at 11.7 m/s at an angle of alpha = 67.2° with the plane of the wall. It bounces off with the same speed and angle. If the ball is in contact with the wall for 0.218 s, what is the magnitude of average force..
an oxygen ion O2- is moving with a speed of 322 m/s in a direction perpendicular to a magnetic field of magnitude B, what is B
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