A balloon filled with helium gas has an average density of ρb = 0.39 kg/m3. The density of the air is ρa = 1.23 kg/m3. The volume of the balloon is Vb = 0.045 m3. The balloon floats upward with acceleration a. a.) Express the acceleration of the balloon a in terms of the variables given in the problem statement, assuming upwards is the positive direction.  b.) Calculate the numerical value of a in m/s2.

Q: A 392 N wheel comes off a moving truck and rolls without slipping along a highway. At the bottom of…

A: Answer:- Given Weight of the wheel (w) = Mg = 392 NMass of the wheel (M) =( 392 N)/( 9.8 m/s2) = 40…

Q: a block with a mass m is initially at rest at the top of the incline plane which has a height of…

A: Sin = Height/length of inclineLength of incline =  Therefore length of the inclined is L = 19.589…

Q: A combination work of art/musical instrument is illustrated. (Figure 1) Six pieces of identical…

A: Now

Q: The back end (half the weight)of a car of mass 2500 kg is lifted by a hydraulic jack.the area of the…

A: Mass of car = 2500kgArea of lifting piston (A1 ) =10 area of pumping piston( A2)

Q: Required information You plan to project an inverted image 29.0 cm to the right of an object. You…

A: Image formation by first diverging lens:Sign convention: light coming from right to the lens is…

Q: Two dimensions. In the figure, three point particles are fixed in place in an xy plane. Particle A…

A:

Q: In the figure, three 9.74 kg spheres are located at distances d₁ = 0.953 m, and d₂ = 0.215 m. What…

A: Given:- The mass of the three-sphere is m = 9.74 kg The distance d1= 0.953 m  and distance d2= 0.215…

Q: An AM radio transmitter broadcasts 46.0 kW of power uniformly in all directions. Assuming all of the…

A:

Q: A stone was dropped off a cliff and hit the ground with a speed of 152 ft/s. What is the height of…

A:

Q: 1. Refer and use figure 1. A 1.25 kg mass is attached to a spring and is displaced and held at 2.50…

A: Mass of the object (m) = 1.25 kgSpring constant (k) = 0.250 N/mDisplacement from initial position…

Q: A rigid, vertical rod with a mass of 2.7 kg simply rests on the floor and is held in place by static…

A: See below

Q: A wave of the form y(x, t) = (0.014 m)cos[(150s-1)t + 3m-1) x]travels down a string with a linear…

A:

Q: You are planning on installing a new above-ground swimming pool in your backyard. The pool will be…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Show that for motion in a straight line with constant acceleration a, initial velocity Ve and…

A:

Q: Required information A transverse wave on a string is described by y(x, t) = (1.2 mm) sin ((2.0π…

A:

Q: Part C Rank each wire-mass system on the basis of its fundamental frequency. Rank from largest to…

A:

Q: (a) Draw a graph of the induced EMF versus time, numerically identifying the maximum and minimum…

A:

Q: A person is walking briskly in a straight line, which we shall call the x axis. The figure shows a…

A:

Q: Light of frequency 3.75 x 10¹4 Hz is incident normally on a glass plate of thickness 3.00 cm and…

A: Solution:Given:1 m = 100 cmc = speed of the light = 3.00 x 108 m/sf = frequency of the light = 3.75…

Q: How can be obtain the following phenomena? • Superposition • Diffraction • Interference

A: Superposition can be obtained by combining multiple independent effects or states in a linear…

Q: A segment of wire 7.5 cm long is moving at a velocity of 3.26 m/s toward a parallel (much longer)…

A:

Q: Building contractors often install double-glazed windows to prevent thermal energy (heat) from…

A: Snell's Law relates the angle of incidence (), the angle of refraction (), and the refractive…

Q: a. b. C. F(x)= F(x) = F(x) = f(x) = 2 + 5x²-x³ f(x) = 9x1/4-7x3/4 f(x) = -1/

A:

Q: A 18.0-mW helium–neon laser emits a beam of circular cross section with a diameter of 1.75 mm. (a)…

A:

Q: A 2.60 kg hoop 1.20 m in diameter is rolling to the right without slipping on a horizontal floor at…

A:

Q: A piece of space debris is travelling in an elliptical orbit around a planet. At its closest point…

A: The equation of conservation of angular momentum is mv1r1 = mv2r2This means that the angular…

Q: (a) What are the directions of his velocity at points A, B, and C? A: (North, south, west, east,…

A: Solution:Given:See the figure. Some data is pulled from figure.(a)What are the directions of his…

Q: While testing speakers for a concert, Tomás sets up two speakers to produce sound waves at the same…

A:

Q: A scaffold suspended from a building by two ropes one painters on it. The painter has a force of…

A: Solution:Given:W1 = weight of painter (vertially downward) = 400 NW2 = weight of scaffold…

Q: Round the answers to the nearest whole part. (a) Using the graph, estimate the acceleration at 60…

A: From the velocity-time graph, acceleration is calculated by taking the slope of that graph.And, the…

Q: Starting from rest at t = 0 s, a wheel undergoes a constant angular acceleration. When t = 1.9 s,…

A: Solution:Given:1 rad = 57.2958 degt0 = beginning time = 0 st1 = first time = 1.9 st2 = second time =…

Q: A solid, uniform cylinder (aka disk) of mass M = 3603 kg and radius R = 4.1 m can rotate about a…

A:

Q: There is person with a mass of 45 kg who is standing at the center of a turntable that is rotating…

A: Mass of person, Initial angular velocity, The turntable is a uniform disk- Radius, R=2.4 m Mass ,…

Q: In 1866, the German scientist Adolph Kundt developed a technique for accurately measuring the speed…

A: f = 400hzLength of tube = 123cm

Q: A pendulum of mass m₁ = 1.22 kg is released from rest from a height h = 7.52 m and collides…

A:

Q: The earth's atmosphere is composed of a mixture of gases. The oxygen (O₂) we need to sustain our…

A:

Q: )An MRI technician moves his hand from a region of very low magnetic field strength into an MRI…

A: Magnetic field strength 4.40 TDiameter of the ring 2.20 cmTime taken to move into the field: 0.35 s

Q: Light of wavelength 564 nm passes through a slit 5.10 x 106 m wide and falls on a screen that is…

A: Solution:Given:1 nm = 10-9 ma = width of single slit = 5.10 x 10-6 mm = order of minima = 3λ =…

Q: There is a 1500 kg car moving at 4.0 m/s and collids with a small truck with a 2500 kg mass in the…

A:

Q: An athlete swings a 3.30-kg ball horizontally on the end of a rope. The ball moves in a circle of…

A:

Q: 0.5000 moles of an ideal gas are expanded isothermally and reversibly from 10.0 liters to 20.0…

A: See below

Q: A 22-g bullet traveling 275 m/s penetrates a 1.5 kg block of wood and emerges going 140 m/s. Part A…

A:

Q: A box with a mass of 39 kg is at rest on an inclined plane with an angle of 37°. What is the…

A: Mass, m = 39 kgAngle, θ = 37°

Q: A 17.0 kg bucket of water is suspended by a very light rope wrapped around a solid uniform cylinder…

A:

Q: A box with a mass (m) is 77 kilograms and is being pulled by a constant force (F) of 149 newtons at…

A: The mass of the box is m = 77 kgThe magnitude of the constant force is F = 149 NThe angle of the…

Q: The figure shows a 0.78-T magnetic field and a side view of a 17-turn square frame, 64 cm on a side,…

A:

Q: 1. Refer to figure 1. Two carts collide and merge together. Calculate the final velocity of the…

A: Here, we can apply the conservation of momentum to find the final velocity (V) of the merged…

Q: A particle known as a pion lives for a short time before breaking apart into other particles.…

A: Given Data:Speed of the particle Lifetime of pion To Determine:(a). The lifetime of the pion…

Q: 1 kg of water at 1000C and a very large block of ice at 0C.A reversible heat engine absorbs heat…

A:

Q: One lens of a nearsighted person's eyeglasses has a focal length of -21.0 cm, and the lens is 2.1 cm…

A:

Density of Solids

The density of a substance refers to how much matter is present in a given amount of space. It is expressed as the ratio of the mass of the substance to its volume.