rectangle expands and contracts with time t (in seconds). Its area is given by A= 4 + sin t square meters. At t = 3.14 (pi), the following is observed. (1) the width of the rectangle expands at the rate of 0.1 meters per second. (2) The width of the rectangle is 1 meter long How fast is the height of the rectangle changing at t = 3.14 (pi)?

Q: 2. A bomber is flying horizontally at 275.0 m/s at an altitude of 325.0 m when it drops a bomb. How…

A:

Q: A block with mass m₁-2.60 kg rests on a frictionless table. It is connected with a light string over…

A:

Q: A 3.0-cm-diameter, 18-turn coil of wire, located at z = 0 in the xy-plane, carries a current of 2.5…

A:

Q: Bob is driving with constant speed in a curved path with radius r = 50 m. If the coefficient of…

A: The maximum speed is 15.65 m/s

Q: crowbar is used to remove a nail. The force that the worker applies is 220 N. If the force arm is 5…

A:

Q: For a sample of helium, the hard sphere radius is 257 pm, the mean speed of atoms is 1200 m s-1, the…

A: In the following problem, we have a sample of helium. Radius of hard sphere, r=257 pm Mean speed of…

Q: When an object is placed 79.5 cm from a convex mirror, the image formed is half the height of the…

A: The object should be placed in 185.5 cm

Q: 4. In an experiment on photoelectric effect, the slope of the cut-off voltage versus frequency of…

A: Given The slope of the cut of voltage (V) and frequency of light (ν) is given by m=Vν=4.12×10-15 Vs…

Q: The velocity vector of a singly charged helium ion (me = 6.64 x 10-27 kg) is given by V=4.90 x 105…

A:

Q: 78. (Two cyclists that are 500 m apart start biking toward each other. They bike at speeds of 6 and…

A: 78) a)50 s b)200 m   79) 45.92 m 80) 950 s 81) 3.88 hr

Q: A force of 18 N is needed to start a box weighing 76 N sliding across the floor. What is the…

A:

Q: The moon is held in its orbit around Earth by gravity. Earth has a mass approximately 78 times…

A: Given data:  Mass of Earth is 78 times the mass of the moon Required: The comparison between force…

Q: 6. Five resistors are connected as shown in the diagram. The potential difference between points A…

A:

Q: A rectangular conducting loop with dimensions w = 34.0 cm and h = 72.0 cm is placed a distance a =…

A:

Q: Questions 1, 2, and 3 below refer to a person pulling a box mass m along a frictionless horizontal…

A:

Q: 1. At what rate is thermal energy generated in the 30- resistor? 102 30 V 30 12 5.02 5.002

A: Required:- At what rate thermal energy is generated in resistors.

Q: 1. A 25.0 N applied force acts on a cart in the direction of the motion. The cart moves 13.0 m. How…

A: Given data:  Applied force (F) = 25.0 N Displacement in the direction of force (d) = 13.0 m…

Q: Conservation of momentum prediction We’re going to have another elastic collision with cart 2…

A:

Q: 1.) A car (mass=400 kg) is traveling down a country road (speed is 10 m/s) when it collides with a…

A: Mass of car=400kg Velocity of car=10m/s Mass of deer=200kg Velocity of deer=2m/s Note - car and deer…

Q: While installing new spark plugs in your car, the manual specifies they be tightened to 74 Nm. If…

A: Given data:  Torque (τ) = 74 Nm Distance (r) = 21 cm = 0.21 m Angle (θ) = 53° Required: The…

Q: A solid cylindrical pulley with a mass of 1.60 kg and a radius of 0.290 m is free to rotate about…

A:

Q: An airplane pilot wishes to by to his destination 500 mi due west, but the wind is blowing at 24.9…

A:

Q: A charged ion with charge of +2.65 x 10-19 C and a mass of 3.15 x 10-27 kg is held halfway between…

A: Given Data: Charge on ion q=+2.65×10-19 C Mass of ion m=3.15×10-27 kg Voltage V=3.06×104 V

Q: 5. Three resistors and two batteries are connected as shown in the circuit diagram. What is the…

A: Visualize the Problem:

Q: Two 503 g blocks of wood are 2.22 m apart on a frictionless table. A 10.84 g bullet is fired at 400…

A: The following problem utilizes the concept of Law of conservation of momentum. It says that that the…

Q: A 19 kg box is being pushed uniformly across a horizontal surface with which the coefficient of…

A: Draw the free-body diagram of the box.

Q: Computation. Three blocks are connected as in the figure with mд-3 kg, mp=2 kg, mc=1 kg, and 0-4°.…

A:

Q: The bouncing of a falling object from the ground can give us clues about the ground forces on the…

A: Here we have to use equation of motion

Q: You measure the radius of a sphere as (6.30 ± 0.25) cm, and you measure its mass as (1.74 ± 0.09)…

A:

Q: A converging lens and a diverging lens, separated by a distance of 30.0 cm, are used in combination.…

A: Given:          Object distance from conversing lens (uc) = -19.5 cm          Focal length of…

Q: 11. Consider the equation W = F(cos Ad. (a) Using the equation, explain why a force perpendicular to…

A:

Q: 10. The 200N block shown in has constant motion up the plane caused by the horizontal force of 400…

A:

Q: The captain of a boat notices wave crests passing his anchor chain every 3 seconds. He estimates the…

A:

Q: An engine exerts a force of 8000 N on a 1000 kg car travelling over a flat road (with coefficient of…

A: Given data:  Force applied (F) = 800 N Mass (m) = 1000 kg Initial velocity (u) = 25 m/s Final…

Q: Balls A and B attract each other gravitationally with a force of magnitude F at distance R. If we…

A:

Q: In the video shown in the lecture, let's assume the banked wall has a radius of 1.0 m and is banked…

A:

Q: Highway curves are marked with a suggested speed. If this speed is based on what would be safe in…

A: Speed of object = 80km/hr = 80(1000 m)/(3600sec) = 200/9 ms-1  For wet road , coefficient of…

Q: 2. A 52 kg ice hockey player moving at 11 m/s slows down and stops over a displacement of 8.0 m. ™C…

A:

Q: 5.) A 5-kg breadfruit (Ulu) is on a tree 7m above the ground. Relative to the ground its potential…

A:

Q: Problem 3: For what emf & does the 2002 resistor in Fig.3 dis- sipate no power? Should the emf be…

A:

Q: Of the 2 stars: a low-mass star or high-mass star: a. Which star has more fuel? - b. Which star…

A: Solution: Given that a low mass star or high mass star We know that , the more fuel , the more…

Q: An aluminum cylinder of radius 12m, length of 20m, and thickness of 0.02m is spinning in space at…

A:

Q: A truck and a small car are both going 10 mph when they collide head on. a. Does the truck or the…

A: Let us assume : Mass of truck = M Mass of car = m (a). As we know according to newtons 3rd law of…

Q: 6. A car of mass M₁ = 3.0 kg (and frictionless wheels) is connected by a light string over a…

A: The mass of the car m1=3 Kg mass of the block  m2=1.0 Kg

Q: The figure below shows a cube with side length d= 18.2 cm with one of its corners at the origin. The…

A:

Q: A ball traveling from point A to point E on the surface of the Earth follows the trajectory shown in…

A: We are given the trajectory of a ball. we need to find the speed of the ball at point C in…

Q: Two rubber balls are the same size but one weighs twice as much as the other. The balls are dropped…

A: Gghh

Q: In a game of pool, ball A is moving with a velocity of vo = voi when it strikes balls B and C, which…

A: Solution -

Q: A box of mass m is stacked on the top of a box of mass 3m. The surface of the table on which they…

A:

Q: in a conical pendulum shown below, the string of length 2 m can withstand a maximum force of 100 N.…

A: Given:         Length of string(l) = 2m        Maximum tension in the string(Tmax) = 100 N…

Units and Dimensions

These are generally defined as the terms which precede or describes the dimensions further. These are also further divided into two parts namely fundamental units and the derived units.