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Physics-

General

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Question

When jet of liquid strikes a fixed or moving surface, it exerts thrust on it due to rate of change of momentum. F $equals open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript minus open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript c o s invisible function application theta equals rho A v subscript 0 end subscript superscript 2 end superscript left square bracket 1 minus c o s invisible function application theta right square bracket$

If surface is free and starts moving due to thrust of liquid, then at any instant, the above equation gets modified based on relative change of momentum with respect to surface. Let any instant the velocity of surface is u, then above equation becomes – $F equals rho A open parentheses v subscript 0 end subscript minus u close parentheses to the power of 2 end exponent left square bracket 1 minus c o s invisible function application theta right square bracket$

Based on above concept, in the below given figure, if the cart is frictionless and free to move in horizontal direction, then answer the following :Given cross–section area of jet = $2 cross times 10 to the power of negative 4 end exponent m to the power of 2 end exponent$ velocity of jet $v subscript 0 end subscript equals 10 m divided by s$ , density of liquid = $1000 k g divided by m to the power of 3 end exponent$ , Mass of cart M = 10 kg:The power supplied to the cart, when its velocity becomes 5 m/s, is equal to :

100 W
25 W
50 W
200 W

The correct answer is: 50 W

Related Questions to study

When jet of liquid strikes a fixed or moving surface, it exerts thrust on it due to rate of change of momentum. F $equals open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript minus open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript c o s invisible function application theta equals rho A v subscript 0 end subscript superscript 2 end superscript left square bracket 1 minus c o s invisible function application theta right square bracket$

If surface is free and starts moving due to thrust of liquid, then at any instant, the above equation gets modified based on relative change of momentum with respect to surface. Let any instant the velocity of surface is u, then above equation becomes – $F equals rho A open parentheses v subscript 0 end subscript minus u close parentheses to the power of 2 end exponent left square bracket 1 minus c o s invisible function application theta right square bracket$

Based on above concept, in the below given figure, if the cart is frictionless and free to move in horizontal direction, then answer the following :Given cross–section area of jet = $2 cross times 10 to the power of negative 4 end exponent m to the power of 2 end exponent$ velocity of jet $v subscript 0 end subscript equals 10 m divided by s$ , density of liquid = $1000 k g divided by m to the power of 3 end exponent$ , Mass of cart M = 10 kg: The time at which velocity of cart becomes 2m/s, is equal to:

When jet of liquid strikes a fixed or moving surface, it exerts thrust on it due to rate of change of momentum. F $equals open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript minus open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript c o s invisible function application theta equals rho A v subscript 0 end subscript superscript 2 end superscript left square bracket 1 minus c o s invisible function application theta right square bracket$

If surface is free and starts moving due to thrust of liquid, then at any instant, the above equation gets modified based on relative change of momentum with respect to surface. Let any instant the velocity of surface is u, then above equation becomes – $F equals rho A open parentheses v subscript 0 end subscript minus u close parentheses to the power of 2 end exponent left square bracket 1 minus c o s invisible function application theta right square bracket$

Based on above concept, in the below given figure, if the cart is frictionless and free to move in horizontal direction, then answer the following :Given cross–section area of jet = $2 cross times 10 to the power of negative 4 end exponent m to the power of 2 end exponent$ velocity of jet $v subscript 0 end subscript equals 10 m divided by s$ , density of liquid = $1000 k g divided by m to the power of 3 end exponent$ , Mass of cart M = 10 kg: The time at which velocity of cart becomes 2m/s, is equal to:

Physics-General

When jet of liquid strikes a fixed or moving surface, it exerts thrust on it due to rate of change of momentum. F $equals open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript minus open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript c o s invisible function application theta equals rho A v subscript 0 end subscript superscript 2 end superscript left square bracket 1 minus c o s invisible function application theta right square bracket$

If surface is free and starts moving due to thrust of liquid, then at any instant, the above equation gets modified based on relative change of momentum with respect to surface. Let any instant the velocity of surface is u, then above equation becomes – $F equals rho A open parentheses v subscript 0 end subscript minus u close parentheses to the power of 2 end exponent left square bracket 1 minus c o s invisible function application theta right square bracket$

Based on above concept, in the below given figure, if the cart is frictionless and free to move in horizontal direction, then answer the following :Given cross–section area of jet = $2 cross times 10 to the power of negative 4 end exponent m to the power of 2 end exponent$ velocity of jet $v subscript 0 end subscript equals 10 m divided by s$ , density of liquid = $1000 k g divided by m to the power of 3 end exponent$ , Mass of cart M = 10 kg: In the above problem, what is the acceleration of cart at this instant –

When jet of liquid strikes a fixed or moving surface, it exerts thrust on it due to rate of change of momentum. F $equals open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript minus open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript c o s invisible function application theta equals rho A v subscript 0 end subscript superscript 2 end superscript left square bracket 1 minus c o s invisible function application theta right square bracket$

If surface is free and starts moving due to thrust of liquid, then at any instant, the above equation gets modified based on relative change of momentum with respect to surface. Let any instant the velocity of surface is u, then above equation becomes – $F equals rho A open parentheses v subscript 0 end subscript minus u close parentheses to the power of 2 end exponent left square bracket 1 minus c o s invisible function application theta right square bracket$

Based on above concept, in the below given figure, if the cart is frictionless and free to move in horizontal direction, then answer the following :Given cross–section area of jet = $2 cross times 10 to the power of negative 4 end exponent m to the power of 2 end exponent$ velocity of jet $v subscript 0 end subscript equals 10 m divided by s$ , density of liquid = $1000 k g divided by m to the power of 3 end exponent$ , Mass of cart M = 10 kg: In the above problem, what is the acceleration of cart at this instant –

Physics-General

When jet of liquid strikes a fixed or moving surface, it exerts thrust on it due to rate of change of momentum. F $equals open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript minus open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript c o s invisible function application theta equals rho A v subscript 0 end subscript superscript 2 end superscript left square bracket 1 minus c o s invisible function application theta right square bracket$

If surface is free and starts moving due to thrust of liquid, then at any instant, the above equation gets modified based on relative change of momentum with respect to surface. Let any instant the velocity of surface is u, then above equation becomes – $F equals rho A open parentheses v subscript 0 end subscript minus u close parentheses to the power of 2 end exponent left square bracket 1 minus c o s invisible function application theta right square bracket$

Based on above concept, in the below given figure, if the cart is frictionless and free to move in horizontal direction, then answer the following :Given cross–section area of jet = $2 cross times 10 to the power of negative 4 end exponent m to the power of 2 end exponent$ velocity of jet $v subscript 0 end subscript equals 10 m divided by s$ , density of liquid = $1000 k g divided by m to the power of 3 end exponent$ , Mass of cart M = 10 kg: Velocity of cart at t = 10 s. is equal to:

When jet of liquid strikes a fixed or moving surface, it exerts thrust on it due to rate of change of momentum. F $equals open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript minus open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript c o s invisible function application theta equals rho A v subscript 0 end subscript superscript 2 end superscript left square bracket 1 minus c o s invisible function application theta right square bracket$

If surface is free and starts moving due to thrust of liquid, then at any instant, the above equation gets modified based on relative change of momentum with respect to surface. Let any instant the velocity of surface is u, then above equation becomes – $F equals rho A open parentheses v subscript 0 end subscript minus u close parentheses to the power of 2 end exponent left square bracket 1 minus c o s invisible function application theta right square bracket$

Based on above concept, in the below given figure, if the cart is frictionless and free to move in horizontal direction, then answer the following :Given cross–section area of jet = $2 cross times 10 to the power of negative 4 end exponent m to the power of 2 end exponent$ velocity of jet $v subscript 0 end subscript equals 10 m divided by s$ , density of liquid = $1000 k g divided by m to the power of 3 end exponent$ , Mass of cart M = 10 kg: Velocity of cart at t = 10 s. is equal to:

Physics-General

parallel

When jet of liquid strikes a fixed or moving surface, it exerts thrust on it due to rate of change of momentum. F $equals open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript minus open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript c o s invisible function application theta equals rho A v subscript 0 end subscript superscript 2 end superscript left square bracket 1 minus c o s invisible function application theta right square bracket$

If surface is free and starts moving due to thrust of liquid, then at any instant, the above equation gets modified based on relative change of momentum with respect to surface. Let any instant the velocity of surface is u, then above equation becomes – $F equals rho A open parentheses v subscript 0 end subscript minus u close parentheses to the power of 2 end exponent left square bracket 1 minus c o s invisible function application theta right square bracket$

Based on above concept, in the below given figure, if the cart is frictionless and free to move in horizontal direction, then answer the following :Given cross–section area of jet = $2 cross times 10 to the power of negative 4 end exponent m to the power of 2 end exponent$ velocity of jet $v subscript 0 end subscript equals 10 m divided by s$ , density of liquid = $1000 k g divided by m to the power of 3 end exponent$ , Mass of cart M = 10 kg: Initially (t = 0) the force on the cart is equal to :

When jet of liquid strikes a fixed or moving surface, it exerts thrust on it due to rate of change of momentum. F $equals open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript minus open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript c o s invisible function application theta equals rho A v subscript 0 end subscript superscript 2 end superscript left square bracket 1 minus c o s invisible function application theta right square bracket$

If surface is free and starts moving due to thrust of liquid, then at any instant, the above equation gets modified based on relative change of momentum with respect to surface. Let any instant the velocity of surface is u, then above equation becomes – $F equals rho A open parentheses v subscript 0 end subscript minus u close parentheses to the power of 2 end exponent left square bracket 1 minus c o s invisible function application theta right square bracket$

Based on above concept, in the below given figure, if the cart is frictionless and free to move in horizontal direction, then answer the following :Given cross–section area of jet = $2 cross times 10 to the power of negative 4 end exponent m to the power of 2 end exponent$ velocity of jet $v subscript 0 end subscript equals 10 m divided by s$ , density of liquid = $1000 k g divided by m to the power of 3 end exponent$ , Mass of cart M = 10 kg: Initially (t = 0) the force on the cart is equal to :

Physics-General

Statement–I : For Reynold number $R subscript e end subscript greater than 2000$ , the flow of fluid is turbulent
Statement–II : Inertial forces are dominant compared to the viscous forces at such high Reynold numbers

Statement–I : For Reynold number $R subscript e end subscript greater than 2000$ , the flow of fluid is turbulent
Statement–II : Inertial forces are dominant compared to the viscous forces at such high Reynold numbers

Physics-General

Statement–I : A parachute descends slowly whereas a stone dropped from same height falls rapidly
Statement–II : The viscous force of air on parachute is larger than that of on a falling stone

Statement–I : A parachute descends slowly whereas a stone dropped from same height falls rapidly
Statement–II : The viscous force of air on parachute is larger than that of on a falling stone

Physics-General

parallel

In ABC ,AD is median, point F lies on AD such that $fraction numerator A F over denominator F D end fraction equals fraction numerator 1 over denominator 5 end fraction$ _,and $A B & C F$ intersect at E and BF and AC intersect at G.
If $stack a with minus on top comma stack b with minus on top comma stack c with minus on top$ are position vectors of points A, B, C respectively such that $stack a with minus on top comma stack b with minus on top comma stack c with minus on top$ are non-coplanar and if mid-point of AG $lambda stack a with minus on top plus mu stack b with minus on top plus v stack c with minus on top$ , then the value of $lambda plus mu plus v$ is

In ABC ,AD is median, point F lies on AD such that $fraction numerator A F over denominator F D end fraction equals fraction numerator 1 over denominator 5 end fraction$ _,and $A B & C F$ intersect at E and BF and AC intersect at G.
If $stack a with minus on top comma stack b with minus on top comma stack c with minus on top$ are position vectors of points A, B, C respectively such that $stack a with minus on top comma stack b with minus on top comma stack c with minus on top$ are non-coplanar and if mid-point of AG $lambda stack a with minus on top plus mu stack b with minus on top plus v stack c with minus on top$ , then the value of $lambda plus mu plus v$ is

Statement-1: line $L subscript 1 end subscript$ is $stack r with minus on top equals 20 left parenthesis i plus j minus k right parenthesis plus lambda left parenthesis i minus j right parenthesis$ line $L subscript 2 end subscript$ is $stack r with minus on top equals 4 left parenthesis 4 i plus 3 j right parenthesis plus mu left parenthesis i plus j plus k right parenthesis$ line L is parallel to z-axis and intersects $L subscript 1 end subscript$ and $L subscript 2 end subscript$ in the point A and B then AB=8
Statement-2 : $stack r with minus on top equals stack a subscript 1 end subscript with bar on top plus lambda stack m subscript 1 end subscript with bar on top text and end text stack r with minus on top equals stack a subscript 2 end subscript with bar on top plus lambda stack m subscript 2 end subscript with bar on top$ are two skew lines then there exists a unique line L parallel to $m subscript 3 end subscript$ such that line L intersects the given skew lines where $stack m subscript 1 end subscript with bar on top comma stack m subscript 2 end subscript with bar on top comma stack m subscript 3 end subscript with bar on top$ are pair wise linearly independent

Statement-1: line $L subscript 1 end subscript$ is $stack r with minus on top equals 20 left parenthesis i plus j minus k right parenthesis plus lambda left parenthesis i minus j right parenthesis$ line $L subscript 2 end subscript$ is $stack r with minus on top equals 4 left parenthesis 4 i plus 3 j right parenthesis plus mu left parenthesis i plus j plus k right parenthesis$ line L is parallel to z-axis and intersects $L subscript 1 end subscript$ and $L subscript 2 end subscript$ in the point A and B then AB=8
Statement-2 : $stack r with minus on top equals stack a subscript 1 end subscript with bar on top plus lambda stack m subscript 1 end subscript with bar on top text and end text stack r with minus on top equals stack a subscript 2 end subscript with bar on top plus lambda stack m subscript 2 end subscript with bar on top$ are two skew lines then there exists a unique line L parallel to $m subscript 3 end subscript$ such that line L intersects the given skew lines where $stack m subscript 1 end subscript with bar on top comma stack m subscript 2 end subscript with bar on top comma stack m subscript 3 end subscript with bar on top$ are pair wise linearly independent

Assertion (A) : If $stack a with minus on top equals 2 i plus stack k with minus on top comma stack b with minus on top equals 3 j plus 4 k text end text$ and $stack c with minus on top equals 8 i minus 3 j$ are coplanar then $stack c with minus on top equals 4 stack a with minus on top minus stack b with minus on top$
Reason (R) : A set of vectors a₁, a₂, a₃.a_n is said to be linearly dependent if for some relation of the form $l subscript 1 end subscript a subscript 1 end subscript plus l subscript 2 end subscript stack a with minus on top subscript 2 end subscript plus l horizontal ellipsis horizontal ellipsis. plus 1 subscript n end subscript stack a with minus on top subscript n end subscript equals stack 0 with bar on top$ implies at least one of the scalars l_i (i = 1,2.n) is not zero

Assertion (A) : If $stack a with minus on top equals 2 i plus stack k with minus on top comma stack b with minus on top equals 3 j plus 4 k text end text$ and $stack c with minus on top equals 8 i minus 3 j$ are coplanar then $stack c with minus on top equals 4 stack a with minus on top minus stack b with minus on top$
Reason (R) : A set of vectors a₁, a₂, a₃.a_n is said to be linearly dependent if for some relation of the form $l subscript 1 end subscript a subscript 1 end subscript plus l subscript 2 end subscript stack a with minus on top subscript 2 end subscript plus l horizontal ellipsis horizontal ellipsis. plus 1 subscript n end subscript stack a with minus on top subscript n end subscript equals stack 0 with bar on top$ implies at least one of the scalars l_i (i = 1,2.n) is not zero

parallel

Let $stack a with rightwards arrow on top equals stack i with hat on top plus stack j with hat on top plus 2 stack k with hat on top text end text$ and $stack b with rightwards arrow on top equals 2 stack i with hat on top minus stack j with hat on top minus stack k with hat on top$ . Then the point of intersection of the
lines $stack r with rightwards arrow on top cross times stack a with rightwards arrow on top equals stack b with rightwards arrow on top cross times stack a with rightwards arrow on top$ and $stack r with rightwards arrow on top cross times stack b with rightwards arrow on top equals stack a with rightwards arrow on top cross times stack b with rightwards arrow on top$ is

Let $stack a with rightwards arrow on top equals stack i with hat on top plus stack j with hat on top plus 2 stack k with hat on top text end text$ and $stack b with rightwards arrow on top equals 2 stack i with hat on top minus stack j with hat on top minus stack k with hat on top$ . Then the point of intersection of the
lines $stack r with rightwards arrow on top cross times stack a with rightwards arrow on top equals stack b with rightwards arrow on top cross times stack a with rightwards arrow on top$ and $stack r with rightwards arrow on top cross times stack b with rightwards arrow on top equals stack a with rightwards arrow on top cross times stack b with rightwards arrow on top$ is

The length of the projection of the line segment joining the points A (1,2,5) and B (4,7,3) on the line whose direction ratios are 6,2,3 is

The length of the projection of the line segment joining the points A (1,2,5) and B (4,7,3) on the line whose direction ratios are 6,2,3 is

If the four plane focus of a tetrahedron are represented by the equation lx + my = 0, my + nz = 0, nz + px = 0, and lx + my + nz = p , then the volume of the tetrahedron are

If the four plane focus of a tetrahedron are represented by the equation lx + my = 0, my + nz = 0, nz + px = 0, and lx + my + nz = p , then the volume of the tetrahedron are

parallel

If $stack a with minus on top$ and $stack b with minus on top$ are two unit vectors and $ϕ$ is the angle between them, then $fraction numerator 1 over denominator 2 end fraction vertical line stack a with minus on top minus stack b with minus on top vertical line$ is equal to

If $stack a with minus on top$ and $stack b with minus on top$ are two unit vectors and $ϕ$ is the angle between them, then $fraction numerator 1 over denominator 2 end fraction vertical line stack a with minus on top minus stack b with minus on top vertical line$ is equal to

Statement-1:The area of the triangle formed by the points A(20,22) ;B(21,24) and C(22,23) is the same as the area of the triangle formed by the point P(0,0) ;Q(1,2) and R(2,1) . Because
Statement-2: The area of the triangle is invariant w.r.t translation of the coordinate axes.

Statement-1:The area of the triangle formed by the points A(20,22) ;B(21,24) and C(22,23) is the same as the area of the triangle formed by the point P(0,0) ;Q(1,2) and R(2,1) . Because
Statement-2: The area of the triangle is invariant w.r.t translation of the coordinate axes.

$stack a with minus on top equals stack i with minus on top plus stack j with minus on top plus stack k with minus on top comma stack b with minus on top equals 2 stack i with minus on top plus 3 stack j with minus on top plus 5 stack k with minus on top$ and $stack c with minus on top$ is a unit vector. The maximum value of the scalar triple product $left square bracket stack a b c with bar on top right square bracket$ is

$stack a with minus on top equals stack i with minus on top plus stack j with minus on top plus stack k with minus on top comma stack b with minus on top equals 2 stack i with minus on top plus 3 stack j with minus on top plus 5 stack k with minus on top$ and $stack c with minus on top$ is a unit vector. The maximum value of the scalar triple product $left square bracket stack a b c with bar on top right square bracket$ is

parallel

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