An object with a mass of 0.2 kg attached to a spring exhibits simple harmonic motion according to the equation x = 0.02 sin (10rt +"). Find the frequency and the period of the oscillation. Find the velocity of the particle, its acceleration and the acting force, as well as the amplitudes of the respective quantities. Figure 2: Question 2(b) A spring mass system Activate Windo

Q: A = (2, -4) and B = (-3,3). Determine the distance between points A and B and find their polar…

A: Two points given in the xy plane  A = (2, -4) and B = (-3,3)   Find: Distance between the A and B…

Q: 11) How fast is the balling moving when it reaches the bottom of the ramp? 4.2 kg sphere 12.2 m 350

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 6. The following equation is for a transverse wave. y(x,t)=(5.00cm)sin 2.00 Tad x+ 4.00- rad t+rad m…

A: The transverse wave is in the form, y=A sin{ kx+ωt+ϕ} where ω is the angular frequency Hence, ω=4.00…

Q: If the y-component of the Resultant (R) is 468.716N, determine the value of (a) force P ,(b)…

A:

Q: Problem 1: A 5.7-m ladder rests against a wall as shown. The ladder has a mass of 26.3 kg. A 58.3-kg…

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

Q: Gmtsing=AHmixing -TASmiring = 2ZAc{xA-xi}+ RT{x,Inx4+x,Inx,}

A: Given, ∆G¯mixing=∆H¯mixing-T∆S¯mixing∆G¯mixing=2Z∆εxA-xA2+RTxAlnxA+xBlnxB…

Q: The product of an NxN matrix with an Nx1 vector is an NxN matrix. True False

A: I have done it using example

Q: Th unit vector from the origin {i.e. the point (0,0)} to the point B (3,4) is:

A:

Q: (4) When variables p, V,T are related by F(p,V,T) = 0, show the following relations (see any…

A: Given that The function is fp,V,T=0 To prove a) ∂p∂TV=1∂T∂pV b) ∂p∂TV+∂p∂VT∂V∂Tp=0 c)…

Q: (d) Find x₁ (t) and x₂(t) with the initial conditions of x₁ (0) = 0.2, x₁ (0) = x₂ (0) = x₂ (0) = 0.

A: Given that the x1 and x2 be the displacement of the masses m1 and m2 respectively. The kinetic…

Q: Given the following information, find the unit vector of Force A Force A = 200 N Θ = 30o (on x-y…

A: Given: Vector A : 200 N Angles θ=30∘ ( on x-y plane) ϕ=50∘ ( on x-z plane)

Q: Find the general solution to the differential equation y" = 2– sin 2r.

A: y'''=2-sin2x

Q: A 3.50-kg object is attached to a spring and placed on frictionless, horizontal surface. A…

A: A 3.50-kg object is attached to a spring and placed on frictionless, horizontal surface. A…

Q: 3. An airline passenger drops a coin while the plane is moving at 245.0 m/s. What is the velocity of…

A:

Q: Vector u = and vector v = . Find (vector u+v) X vector v.

A:

Q: Given vectors A=21+3j+k and B= k and find B*A

A: The 2 vectors are given asA = 2i⏞ + 3j⏞ + k⏞B = k⏞ They have asked for the cross product of the 2…

Q: 4-7. Suppose that f(x)=1.5x² for –l-0.5) (b) P(0.5<X) (d) P(X<-2) (f) x such that P(x< X)=0.05.

A: Answer (d) :-

Q: Express the ff. as a single 2 × 2 matrix. exp (it)

A: We can every exponential in a matrix form. The solution of the above problem is as following in step…

Q: The three vertices of a triangle are located at A(6, -1, 2), B(-2, 3, -4) and C(-3, 1, 5). Find: (а)…

A:

Q: The component form of vector is 7 = (4, 3). v Find 47. 40 =

A: A vector can be represented by its component form. The vector has two components in a…

Q: Compute the area of the region bounded by these parabolas. y = x2 – 4x + 3 and y = -x² + 2x + 3

A: Given: y=x2 -4x+3 y=-x2+2x+3

Q: Let vector A  point from the origin into the second quadrant of the xy plane and vector B point from…

A: When subtracting vectors, the rule is to graph the first two from the origin and then connect them…

Q: A small object with mass 3.80 kg moves counterclockwise with constant speed 1.70 rad/s in a circle…

A:

Q: The x-component of the unit vector from the point A(-2, -3) to the point B(-1, 6), is:

A:

Q: What is the slope a line that has two points with the coordinates (3,4) and (5,6

A: Let the coordinates having point be written as:- X1=3 -----(1) [Given] Y1=4 -----(2) [Given] X2=5…

Q: (a) When a wave moves through water, how do the water particles behave? b) What is actually moving…

A:

Q: 1. 2. If u = x²(x² + y²), find ou/0x, du/dy. If st", find as/at, as/Ou.

A: As per guidelines we are supposed to answer only the first three questions from multipart questions…

Q: Assume = 36 and H = 4. Determine the x-component of H.

A: Given: The angle is alpha = 36 degree The magnitude of the vector H = 4 units

Q: Let vectors A⃗=(2,−4) A → = ( 2 , − 4 ) and B⃗=(−3,1) B → = ( − 3 , 1 ) . Calculate the following:…

A:

Q: Vector u = and vector v = . Find u X (-9v)

A:

Q: Evaluate the matrix for Lx for l=1

A:

Half Life

The concept of Half Life has numerous practical applications some of them includes figuring out the effective drug dosage to finding out when a radioactive becomes safe to use. If you look for a career in Nuclear Physics you will need this concept.