A 3.00 kg box that is several hundred meters above the earth’s surface is suspended from the end of a short vertical rope of negligible mass. A time-dependent upward force is applied to the upper end of the rope and results in a tension in the rope of T(t) = (36.0 N>s)t. The box is at rest at t = 0. The only forces on the box are the tension in the rope and gravity. (a) What is the velocity of the box at (i) t = 1.00 s and (ii) t = 3.00 s? (b) What is the maximum distance that the box descends below its initial position? (c) At what value of t does the box return to its initial position?

Q: Эт 4. A supertanker of mass 1.5 x 108 kg is being towed by two tugboats. The tension in the towing…

A: Given:-  The mass of the supertanker is m = 1.5 x 108 kg  The tension in the towing cables are T1…

Q: A box is released from rest at the top of a flat rough slope of length 20 metres that is inclined at…

A:

Q: Students are performing an experiment with the setup shown above, where a block of mass M sits on a…

A: From the question given that hanging mass m accelerates before it touches the ground.When hanging…

Q: child pulls a string attached to a toy of mass 0.4 kg on a low horizontal table. The toy moves in a…

A: Since it contains more than 3 subparts , solution for the first three is provided here.

Q: Students are performing an experiment with the setup shown above, where a block of mass M sits on a…

A:

Q: A student of weight 638 N rides a steadily rotating Ferris wheel (the student sits upright). At the…

A:

Q: A 20 kg child sitting on a swing is pulled back to an angle of 50° off the vertical as shown in the…

A: The tension in the string can be calculated by analying free bdy diagram the tension at the lowest…

Q: Students are performing an experiment with the setup shown above, where a block of mass M sits on a…

A: Given Data: To describe how high it bounces in terms of h.

Q: A small box of mass ?= 1.20 kg sits on a horizontal frictionless surface. A constant force ?⃗ is…

A:

Q: You are moving into an apartment and take the elevator to the 6th floor. Suppose your weight is 690…

A: Given that, weight of person  (w1 ) =  690N weight of belongings  w2 = 1040 N  height of floor h =…

Q: A child is playing on a hill with a cardboard box. The combined mass of child and box is ? = 120 kg.…

A: Combined mass of child and the box is m = 120 kg Coefficient of static friction is μs=0.4…

Q: To assess a patient who is suspected of having heart disease, the physician must examine the cardiac…

A:

Q: What is the direction of the net force, expressed as an angle in degrees measured clockwise relative…

A:

Q: The figure shows a container of mass m, = 1.7 kg connected to a block of mass m2 by a cord looped…

A: Here,  A figure is given with a container of mass m1 = 1.7 kg and a block of mass m2 . It is given…

Q: Two boxes are placed on an inclined plane at angle a to the horizontal. The masses of the two boxes…

A: Consider the following diagram. It shows various forces on two boxess. On box 1, the forces are:…

Q: A spider hangs from the junction formed by three strands of silk, as shown in the figure. The force…

A: According to Lami's theorem ,if three forces acting at a point are in equilibrium then each force is…

Q: In the figure, a 5.30 kg block is sent sliding up a plane inclined at 0 = 37.0° while a horizontal…

A:

Q: In the figure, a rectangular slab of slate rests on a bedrock surface inclined at angle = 28.1°. The…

A:

Q: The figure shows a container of mass m₁ = 4.8 kg connected to a block of mass m₂ by a cord looped…

A:

Q: A 35.0-kg child swings in a swing supported by two chains, each 3.02 m long. The tension in each…

A:

Q: A stacked pair of books with masses m1= 1.5 kg (bottom book) and m2 = 1.0 kg (top book) are tossed…

A:

Q: A 22 N DIO the block and a constant tension T is main

A: Given, Weight of the block,W=22 N Coefficient of static friction, μs=0.8  Coefficient of kinetic…

Q: A 39.0-kg child swings in a swing supported by two chains, each 2.98 m long. The tension in each…

A: The mass of the child: The length of the chains: The tension in each chain at the lowest point:

Q: A patient with a broken tibia has the lower half of his leg suspended horizontally by a cable…

A: Tension is the force transmitted axially by a string, a cable, a chain, or similar object, or by…

Q: In deep space, an astronaut is whipping a heavy tool around in a circle by a taut cable. The cable…

A:

Q: In the figure, a rectangular slab of slate rests on a bedrock surface inclined at angle = 27.8°. The…

A: The given values are, θ=28.4°L=32.4 mT=5.92 mW=14.3 mρ=3.2 g/cm3=3.2×103 kg/m3μs=0.385A=6.05…

Q: Consider a conical pendulum with a bob of mass m - 73,0 kg on a string of length L 10.0 m that makes…

A:

Q: In the figure, a block of mass m = 3.71 kg is pulled along a horizontal frictionless floor by a cord…

A: Given  values: Block of mass, m=3.71 kg Applied force, F=12.7 N Angle, θ=26° Resolving all the…

Q: M = 2.2 kg, and the tension in the connecting string is 70 N. How long does it take the hanging mass…

A:

Q: An elevator has a mass of 200kg. An average person has of 40 kg. The elevator must accelerate upward…

A:

Q: Two blocks of mass ma = 10 kg and mg = 5 kg are connected by a massless string that passes over a…

A: Given: mA=10 kgmB=5 kg The system is in static equilibrium. The coefficient of the static friction…

Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”