Wednesday
July 30, 2014

Posts by Ajayb


Total # Posts: 117

physics
How can there be acceleration if the body is moving at constant velocity?

physics
(PE+KE)initial = (PE+KE)final mgh + mv0^2/2 = 0 + mv^2/2 => h = (v^2-v0^2)/2g

PHYSICS
The current through each bulb is the voltage across it divided by its resistance. In this case the bulbs are in parallel and voltage across them is 2.4V.

PHYSICS
The series resistor R should be chosen so as to have a voltage drop of 7.6V(10-2.4)across it. The currents in the two bulbs: i1=2.4/3.0 = 0.8A i2=2.4/2.5 = 0.96A Total current in the circuit = i1+i2 = 1.76A R = 7.6V/1.76A = 4.3 Ohms

physics
First find K of the spring: Mg = Kx here, x = elongation of the spring = 13.40 - 12.00 = 1.40 cm = 0.014 m K = Mg/x = 3.15*9.8/0.014 = ?? Having got K, find X from: KX^2/2 = 10.0J where X is the elongation when stored PE is 10.0 Joules. The total length of spring then would be...

physics
use the formula: V^2 = U^2 + 2*a*s here, V=0(final speed); U= Initial speed (convert units mi/hr to m/s) a = acceleration s = 108 m Find a in m/s^2 - your answer will be a negative value indicating deceleration.

Physics
Initial momentum of boat+Sally system is=(125+65)*5= 190*5=950 Kg m/s Sally's speed is 2.0m/s relative to boat i.e. w.r.t.a stationary observer it is (2+V)m/s where V is the speed of the boat when Sally walks. Since there is no external force acting on our system, the line...

physics
F = k q^2/r^2 = 9x10^9*1x10^-12/16x10^-4 = 5.6 N 5.6=m*9.8 => m=5.6/9.8=5.7 Kg

Physics
Yes, you did it correctly. In order to understand phasor diagram, read your text book. In a purely inductive load, the current lags voltage by 90 deg. In this case (R+L load)the phase angle will be less than 90 - you can find it out once you read the text.

physics
The string closest to the axis of rotation would have the maximum tension. Draw the free body diagram and it will be clear that the tension in the closest string balances not only the centrifugal force on the attached ball but also the tension in the string next in the chain.

Dynamics
The kinetic energy of the car will be dissipated as heat due to the frictional forces. KE=(1/2)mV^2=1500*36/2=27000 J The work done by frictional forces=F*d Now, F*d=KE F=KE/d=27000/5=5400 N

Physics
Use PV=nRT to find the pressure of the gas in the container at 20 deg.C. All the variables except for P are given to you in the problem. The heating process is isobaric -so, the pressure would not change. But its volume would increase which you can find by using the equation: ...

dyanamics
(a) is correct. Force, momentum and velocity are vectors. Energy and work are scalar quantities.

Physica
i=q/t => q=i*t=5.5*120(sec) =660 Coul.

science
You have not mentioned the units in the problem - I trust the mass is 15.5 Kg and Force =38.0 N. Fx= 38*Cos42 .....in hor. direction Fy= 38*Sin42 .....in vertical downward direction For equilibrium in vertical dir.- Normal force N = mg+Fy N=15.5*9.8 + 38*Sin42 =151.9 + 25.4 =1...

Physica
Pressure at the bottom of a water column of height h = d*g*h where, d=density of water(1000Kg/m^3) g=9.8 m/s^2 & h=30 m Calculate P yourself.

Dynamics
Wi= 1200 rev/min = 20 rev/sec = 20*2*pi rad/sec Wf = 0; alpha= -1.5 rad/s^2 Wf = Wi + alpha*t 0 = 40*pi - 1.5*t t = 40*pi/1.5 = 84 sec Now, theta = Wi*t + (1/2)*alpha*t^2 Plug in the values in this eqn. to get theta - the rotation of the wheel (in radians)before it comes to ha...

physics constant angular acceleration
4 rev.= 4*2*pi radians use the formula for angular motion: theta = W0*t + (1/2)*alpha*t^2 .....(1) here theta = 4*2*pi W0 = 4.3 alpha = 3.75 Solve the quadratic eqn.(1)to get the value of t (time) The data on radius of the wheel has no use in solving this problem.

Physics
Assume a thermal equilibrium temp. T and find the heat absorbed by ice (say Q1)to raise its temp.from -35 deg. to T deg. Similarly, find heat released by water (say Q2) when its temp. lowers from 45 deg. to T deg. Putting Q1 = Q2 will give you T in deg. C. Note: Do not forget ...

Physics
Follow the following steps: 1. Calculate the ice block's mass from its volume and density. 2. Compute heat required to raise its temp. from -19.3 degC to 0 deg - Q1 3. Consider latent heat required to change the state from ice at 0 deg. to water at 0 deg. - Q2 3. Compute h...

Physics
Q=m*s*T I hope you can compute Q (heat required)

physics
use the formula: V^2=U^2-2*a*s where V is final velocity =0 U is initial velocity a is accn. = 12 m/s^2 s is height attained Compute s from the formula.

PHY: To AJAYB, follow up on previous response
I just answered your questions in the previous post. You are welome to ask again in case of any doubt.

PHysics
w^2 = k/m => k = m*w^2 =15*32^2 =15,360 n/m E =(1/2)k*A^2 =(1/2)*15360*(.20)^2 =307 J

Physics
You've to consider the motion in vertical and horizontal directions seperately. A)Vertical (y) dir.=> Vy^2 = Uy^2 + 2*(-g)*s = (10Sin45)^2 + 2*(-9.8)(-10) = 50 + 196 = 246 So, Vy= 15.68 m/s (Vy is the vertical component of the projectile when it hits the ground) B) Hori...

Physics
Remember Newton's third law of motion. The reactionary force on the car would be of the same magnitude i.e. 1580N.

Physics- Repost (Answer did not make sense)
My mistake - I wrongly considered the battery voltage to be 6V instead of 12V. B) The capacitor voltage will reach 6V (half of its final voltage) in 0.693*TC time. You can also use the equation: V = V0{1-e^(-t/RC)} where V=6 and V0=12. You'd get t= 8.316 ms C)Find q0 by us...

Physics- Repost (Answer did not make sense)
A) Your answer is correct - the time constant of the circuit is indeed 12ms. B) The time required to reach the final voltage by a capacitor is roughly 4*TC. In this case,the capacitors would charge up to full battery voltage(6V)in 48 ms. C) t=10 nano-seconds is such a short ti...

physics
T = 2*pi*sqrt(m/k) so k = 4*pi^2*m/T^2 = 444.5 N/m E = (1/2)*k*A^2 = (1/2)*444.5*0.155^2 = 5.34 J

Physics
You might have forgotten to include the latent heat - heat required to convert the state from ice to water w/o change in temp. Consider this factor and you could get the correct answer.

physics
You have been given the linear expansion coefficient - find increase in radius R and then find the disk's MI.

physics
1.You apply a force F on the book in horizontal direction towards the wall. 2. The normal reaction of the wall on the book will be (say) N. For equilibrium in horizontal direction => F = N 3. The weight of the book M*g will act on the book in downward direction. 4. The fric...

Physica
Work done by the man = F*d = 10*5 = 50 J work done by frictional force = mu*mg*d = - 0.2*5*9.8*5 = - 49 J Net work done on the box = 50-49= 1 J

Physics
You can consider the surface area of the sphere (4*pi*r^2) as the surface area of the steel plate. Multiply it with the thickness i.e. 0.5in to get volume of the steel material.

Physics
In the case of completely elastic collision, not only momentum is conserved but KE is also conserved. Considering these two principles, you get two equations from which you can find V1 and V2 in terms m1,m2 and U1.

Physics
E=V/d = 60/.03 = 2000 v/m W = qV = 5*12.45 = 62.25 J

Physics
during the slide down the hill: use a=gSin9.8-mu*gCos9.8 to find vel. at the base of the incline. For the horizontal part accleration is -mu*g - to find the distance covered. Figure it out based on the above hint

physics
That is correct. This is a case of inelastic collision where linear momentum is conserved because there is no external force. So, Pi = Pf

physics
1. Max. compression is 20cm - so the amplitude A is 0.2m. 2.(1/2)mV^2 = (1/2)kA^2 V^2 = kA^2/m = 5.2*0.04/0.7 V=0.54m/s 3.Speed at X = sqrt(k/m)sqrt(A^2-X^2) =2.72sqrt(.04-0.0144) = 2.72*0.16= 0.43m/s Acc. at X= (k/m)x= (5.2/0.7)*0.12 =0.89 m/s^2

Physics
h+g*t^2/2 t=sqrt(2h/g) =sqrt(2*51/9.8) = 3.2 sec

physics
F=Pressure*area = 2*10^5(N/m^2)*pi*1.5*10^-6(m^2) = 3*pi*10^-1 N

Physics
Work reqd.(W)= gain in potential energy = m*g*h Solve it to get W in joules

Physics
F1*Cos32= F2*Cos45 F2=145*Cos32/Cos45 = 174N Any value of F2 less than 174N would result in the net force in forward direction.

Physics (work and springs)
A) The elastic potential energy stored in the spring would convert into KE of the box. This KE would be dissipated while working against the frictional force. So work done = (1/2)Kx^2 = 800*0.5^2/2 = 100 Joules B) Frictional force F= mu*mg F = 0.4*4*10 = 16 N Work done = F*d d...

Physics
Assume: P0-pressure at 4500m above sea level. P1-pressure at sea-level P2- pressure at depth of 20.6m P2=P1+dgh = P1 + 1024*9.8*20.6 = P1+2.06x10^5 Pa .......(1) P0=P1-dgh =P1 - 1.3*9.8*4500 =P1 - 0.57x10^5 Pa .......(2) [It is assumed density of air near earth's surface i...

Engineering Physics
PEi = - GMem/4Re = KEf + PEf = KEf + [- GMem/2Re] So KEf = GMem/2Re - GMem/4Re or (1/2)m v^2 = GMem/2Re v^2 = G*Me/Re

College Physics
U^2 = 2*a*s s = U^2/2*a = (16.66)^2/(2*30*9.8) = 0.47m or 47 cm

Physics
Kg is unit for mass and Newton is the unit for weight.( weight is a force W=mg) Max. wt.that can be lifted = Pressure * area = 1.01*10^5*16.7*3.14*0.123^2 N =80126 N

Physics
KE gained = PE lost (1/2)mv^2 = mgh v = sqrt(2gh)= sqrt(2*9.8*0.54)m/s

Physics
(1/2)mV^2 = (1/2)kx^2 V = x*sqrt(k/m) = 0.6*sqrt(650/0.1)m/s

Physics
Work required = Gain in PE = m*g*h = 1460*9.8*14Sin12.5 J (h-vertical height gained)

physics
Loss in KE = Gain in elastic PE of the spring. (1/2)mV^2 = (1/2)kx^2 find K from this equation. Remember to convert the units of V to m/s

Physics
consider a sytem comprising of Sunbather + raft. No external force on this system.Therefore thr Center of mass of the system will remain stationary. If she walks to the west, the raft will move to the east by a distance that will keep the CM at the original location. No extern...

Physics Angular displacement
Car's displacement= S = ut + at^2/2 = 25*6 + 2*6^2/2 = 150 + 36 = 186m One rev. of wheel covers = 2*pi*r No. of revolutions = 186/(2*pi*0.25) = 118.4 rev.

science
Do vector addition of the two velocities to obtain boat's velocity V w.r.t.river bank: V = sqrt(12^2+5^2) = 13 Km/hr and tan theta = 5/12; (theta - angle between V and north)

science
1) Speed of man w.r.t.escalator = L/t1 2) Speed of escalator w.r.t.ground = L/t2 3)Speed of man w.r.t.ground = (L/t1)+(L/t2) Time taken by man to cover distance(L) = L/(L/t1)+(L/t2) = t1*t2/(t1+t2)

science
1) change in speed: 12-5 = 7m/s 2) V1=5i & V2=12j Change in vel.= V2-V1 = 12j-5i its magnitude = sqrt(12^2+5^2) = 13m/s^2 3) x-dir.: 0=5+Ax*5 => Ax= -1m/s^2 y-dir.: 12=0+Ay*5 => Ay= +12/5=2.4m/s^2 So A = -1i+2.4j Mag. of av. acc.=sqrt(Ax^2+Ay^2)

science
Yes the bullet will hit the monkey as both fall with downward accleration of g m/s^2. Hint: The bullet will hit the monkey at a ht. S above the ground given by: S = V*Sin(theta)*t - (1/2)*g*t^2 {V-initial velocity at an angle theta with horizontal} During this time t, the monk...

Engineering Physics
Since the platform is 3m above ground(vertical height), the gravitational PE gained would be m*g*h - no need to multiply by Sin 30

physics
The truck is moving at constant velocity - means zero acceleration - that can happen only when the net force acting on the truck is zero.The frictional force opposes the motion and its magnitude is same as that produced by the engine for forward motion (under constant velocity...

physics
1. The apparent frequecy should be 20kHz i.e.lower than the actual freq. of 21kHz. Therefore the sound source should move away from you. If the rider speed is U - F' = v*F/(v+U) 20*10^3= 330*21*10^3/(330+U) 330+U= 330*21/20 U = 330*[21/20 -1]= 330*1/20 = 16.5m/s (min.ridin...

dynamic
How much is the acceleration? Not stated in the problem! anyway, you can use the formula: V^2 = U^2 + 2*a*s here a = accleration, U=0 and s = 2-1= 1m

Physics
Solution to a similar problem has been posted earlier which please check. B) The total mechanical energy = KE + PE of the object at the surface of Eris will remain constant and will be equal to PE at the max. height h (above the surface). The object's KE will be zero at th...

Physics
Can't be solved without the diagram showing the incline gradient

Physics
use T^2 = 4*pi^2*r^2/GM T and r are given, G -Universal constant of gravitation. Compute M - mass of star

Physics
use the law: T^2 proportional to r^3

Physics
Since the box is moving through sea water at a constant speed, the net force on it must be zero. The forces are: i) W= mg its weight downwards ii) Fb - buoyant force upwards iii) Ff - frictional force offered by water acting upwards. now W = mg = V*Db*g (Db-density of box) and...

Physics
tension in the string = m*V^2/r max tension is 70N so Vmax = sqrt(70*r/m)

physics
I suppose you have to find time for the bomb to strike the ground. h = (1/2)*g*t^2 h = 3000ft g = 32 ft/s^2 find out t The data - jet's horizontal velocity and mass of the bomb - is irrelevant for the above computation of time

Physics
a) s1= vt - for motorist s2= (1/2)*a*t^2 - for police officer when the cop cathes up the motorist: s1 = s2 So vt = (1/2)*a*t^2 15*t= (1/2)*3*t^2 t = 15*2/3 = 10 sec b) v = u + a*t = 0 + 3*10 = 30 m/s c) distance s1=s2= 15*10 = 150m

physics
W2^2 = W1^2 + 2*alpha*theta 13.5^2 = 22.0^2 +2*alpha*13.8 alpha = (13.5^2 - 22.0^2)/2*13.8 = - 10.9 rad/s^2 So, magnitude of angular acceleration = 10.9 rad/s^2

Physics
A) Escape vel. = Ue = sqrt(2GM/R) ...(1) also g = GM/R^2 So GM/R = gR .....(2) From(1) & (2) Ue = sqrt(2gR) = sqrt(2*0.77*1200,000) = 1360 m/s B) u = Ue/2 = (1/2)*sqrt(2GM/R) Now KEi+PEi = PEf+KEf (conservation of mechanical energy) or (1/2)mu^2 - GMm/R = -GMm/(R+h)+0 or GM/4R...

Physics
The total load is 980+230 = 1210N but how it shall be shared by the supporting poles would depend on the location of the painter on the board. The question can not be answered in absence of this information/diagram.

Physics
F= m*a = m*(v-u)/t v is the velocity after time t(5.5s) u is the initial velocity = 0 Plug in the values to find the av. net force F

Physics
F = dP/dt = 0.70(6.9-0)/0.15 = 32.2 N

physics
Resultant force=160-40-60=60 N to the left.

Physics
g(n) = G*Mn/Rn^2 & g(e)= G*Me/Re^2 Mn=d*(4/3)*pi*Rn^3 (Mn->new planet's mass) Me=d*(4/3)*pi*Re^3 (Me-> Earth's mass) So, g(n)/g(e) = Rn/Re .....(1) Now, Mn/Me = 2 (given) So Rn^3/Re^3 = 2 or Rn/Re = 2^1/3 ......(2) From (1) & (2) g(n)/g(e)= Rn/Re = 2^1/3 So, if t...

physics
use the formula: S = ut +(1/2)*a*t^2 S - distance covered =1.25m u - initial velocity = 75m/s^2 a - acceleration = 25m/s^2 t - time taken to cover the distance

Physics.
Try E = mc^2 Take mass of electron and positron to be 9.1x10^-31Kg and 3x10^8m/s as speed of light.

physics
A) position: x(2)= (2*2-3)^2= 1m v = dx/dt = 2(2t-3)*2 so v(2)= 4 m/s a = dv/dt = 8 m/s^2 B) v at origin: x=0=(2t-3)^2 so t=3/2 at t=3/2, v = 4(2*3/2-3)= 0

phsc
If the external force on the satellite is zero, the linear momentum will be conserved. This would be the case for a satellite out in the space where the gravitational pull of earth is nearly zero. In such a situation the fragments will fly off in all the directions obeying the...

phsc
The larger contact time means longer duration of the impulse imparted to the golf ball. (Impulse I = F*t) Largere impulse causes larger change in the momentum of the ball. And the distance covered is directly proportional to the momentum imparted.

phsc
Since momentum in each case is the same, the damage will be identical. Both the options are equally bad.

Physics: Theory
correct option - (C)

Physics
1) r = m*v/(q*B) r(a)= m(a)*2v/(q(a)*B).....(1) r(p)= m(p)*v/(q(p)*B).....(2) r(a)/r(p)= m(a)*2v*q(p)/[m(p)*v*q(a)] = 4m(p)*2*q(p)/[m(p)*2q(p)] = 4*2/2 = 4 2) Ma*Va/[Qa*B] = Mp*Vp/[Qp*B] So, Va = 4.4*2/4 = 2.2m/s

physics
a)As the acceleration is zero, the force exerted by the man equal the comp. of gravitational force on the body along the incline. F = mg*Sin22 b)Wm = F.d = - 3.8*F ( -ve because F and d are in opposite directions) c) Wg = +3.8*mg*Sin22 d) Net force on piano = 0. So Wnet = 0

physics
What is the unit of work given in the problem? Is it Joules? W = mgh should give you the height h.

Physics
The moments of the gravitational forces should balance each other to prevent plank's rotation(about the wedge). a)Taking moments about the wedge position: 40g*X = 60g*10 X = 15m from the wedge b) You can't balance with a 10Kg mass. 40g*10 = 10g*X X= 40m - beyond the le...

Physics
kx = mg k = mg/x = 2*10/0.25 = 80 N/m

Physics
Try G*Ms*Mu/R^2 = Mu*Vu^2/R here Ms = mass of Sun Mu = mass of Uranus Vu = Speed of Uranus R =Orbital radius Also 2*pi*R = Vu*T will give value of Vu which when plugged in the first equation will give R.

Physics
First find the orbital speed(V)by equating force of attraction (between the two bodies) with the centrifugal force. Having found the speed you can find the period T= 2*pi*R/V

Physics
S=(1/2)gt^2 since u=0 4000=(1/2)*10*t^2 t=sqrt(800)secs - time to reach ground So hor. distance covered= 80*sqrt(800) = 2263m

physics
The force required to move the crate at constant speed should just be greater than the frictional force. F (ext.)= 180 N Work done = F*s = 180*5.5 = 990 J

Physics(Please help)
W = p*dV = p(Vf - Vi)--for isbaric p is constant. Plug in values of W,p and Vi to find Vf

Physics
let q1= -2C, q2= +5C, q3= -4C also r13=10+4=14cm=0.14m & r23= 4cm = 0.04m a) Force on q3 due to q2: F32= k*q3*q2/(r23)^2 towards left b)Force on q3 due to q1: F31= k*q3*q1/(r13)^2 towards right c) Net force on q3 = F32-F31

Physics
Assume the string makes an angle theta with the horizontal and tension in the string is T. T*Cos theta = m*v^2/r (centrifugal force) and T*Sin theta = m*g By dividing: Tan theta = g*r/v^2 = 9.8*2.2/7.2^2 = 0.41 So Theta = 22.5 deg Now T=m*g/Sin22.5 = 79.3N

Physics
Assume the rope makes an angle theta with horizontal and tension in the rope is T. Let the normal reaction at the pole and wall contact point is N (in horizontal dir.) T*Cos theta = N ....(1) T*Sin theta + mu*N = Mg ........(2) So, Tan theta = (M*g-mu*N)/N or, Tan theta = M*g/...

Physics
How much is the ramp's inclination with the horizontal?

Physics
v^2 = u^2 - 2*a*s here, v = 0 (final speed) u = 24 m/s a = 0.065 m/s^2 Solve above to obtain s - distance covered while slowing down.

Physics
Since the skier is pulled at a constant speed, the pulling force (for one skier)is given by: F = m*g[sin theta + mu_k*cos theta] = 80*10[sin25+0.15*cos25] = 446.8N (along the incline upwards) Work done by F in moving distance of 230m: W=F*x = 446.8*230 =102,776 Joules Power re...

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