Mechanics | Relativity Answers

A 100 kg car pulling a 500 kg trailer accelerates at a rate of 2 m/sec^2. If the frictional force on the trailer is 1000 N, with what force does the car pull the trailer? With what force does the trailer pull the car?

A 6 kg cart on a level surface is pulled at a constant velocity of 2 m/sec by a constant force of 10 N. What is the acceleration? What is the friction force opposing the motion?

show work (so i know how to do it) and answer please

An elevator accelerates upward at 3 m/sec^2 for a brief time. A 500 N woman standing on bathroom scales notices the reading is not what she expected. What do the scales read?

A 3 kg cart starting from rest on a frictionless surface is pulled by a horizontal massless rope with a constant force of 6 N. What is the acceleration of the cart and how fast is it moving at the end of 2 seconds?

show how to do it and answer please!

A farmer builds a water storage tank 12m above the ground. The water is fed via a 250m long, 125mm pipe to a field for irregation purposes. The pipe has a friction factor of 0.007. Using the K data below, show that the water flow rate (kg/s) in the pipe is approximately 24.25kg/s.
K data
Tank exit 0.5
bend 0.9
valve in pipe 1.0
Assume water density as 1000kg/m3

A projectile is fired from the top of a cliff of height h above the ocean below. The projectile is fired at an angle θ above the horizontal and with an initial speed v[sub]i[/sub].(a) Find a symbolic expression in terms of the variables v[sub]i[/sub], g, and θ for the time at which the projectile reaches its maximum height.(b) Using the result of part (a), find an expression for the maximum height hmax above the ocean attained by the projectile in terms of h, v[sub]i[/sub], g, and θ.

A radar station locates a sinking ship at range 15.6 km and bearing 136° clockwise from north. From the same station, a rescue plane is at horizontal range 19.6 km, 160° clockwise from north, with elevation 2.10 km.
(a) Write the displacement vector from plane to ship, letting represent i east, j north, and k up.
(b) How far apart are the plane and ship?

At t = 0, one toy car is set rolling on a straight track with initial position 16.5 cm, initial velocity -3.4 cm/s, and constant acceleration 2.30 cm/s2. At the same moment, another toy car is set rolling on an adjacent track with initial position 9.5 cm, initial velocity 6.20 cm/s, and constant zero acceleration.
(a) At what time, if any, do the two cars have equal speeds? (Enter NA if the cars never have equal speeds.)


(b) What are their speeds at that time? (Enter NA if the cars never have equal speeds.)


(c) At what time(s), if any, do the cars pass each other? (If there is only one time, enter NA in the second blank. If there are two times, enter the smaller time first. If they never pass, enter NA in both blanks.)


(d) What are their locations at that time? (If there is only one position, enter NA in the second blank. If there are two positions, enter the smaller position first. If they never pass, enter NA in both blanks.)



(e) Explain the difference between question (a) and (c)

Vectors and have equal magnitudes of 21.0. If the sum of and is the vector 8.40 , determine the angle between A and B.

Provide the number of significant digits in each of the following numbers/

_____ 10.75
_____ 1.006
_____ 0.005
_____ 6.25
_____ 2.205