Work, Energy and Power
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In the given figure, the block of mass m is dropped from the point ‘A’. The expression for kinetic energy of block when it reaches point ‘B’ is
In the given figure, the block of mass m is dropped from the point ‘A’. The expression for kinetic energy of block when it reaches point ‘B’ is
According to conservation of energy, we can write
Gain in kinetic energy = Loss in potential energy
Kf – Kin = Uin - Uf
K - = mgy – mg (y – y0) = mgy0
A car cover AB distance with first one-third at velocity second one-third at and last one-third at If <!-- [if gte mso 9]><xml>
</xml><![endif]--> then the average velocity of the car is__________ ms-1.
A car cover AB distance with first one-third at velocity second one-third at and last one-third at If <!-- [if gte mso 9]><xml>
=
= 3 × b
= 18 m/sec
Water falls from a 40m height dam at the rate of 9 × 104 kg per hour. Fifty percentage of gravitational potential energy can be converted into electrical energy. Using this hydro electric energy number of 100 W lamps, that can be lit, is:
(Take g = 10 ms-2)
Water falls from a 40m height dam at the rate of 9 × 104 kg per hour. Fifty percentage of gravitational potential energy can be converted into electrical energy. Using this hydro electric energy number of 100 W lamps, that can be lit, is:
(Take g = 10 ms-2)
Given : water flow rate = = 9 × 104 kg/hr
=
Potential energy available on water per unit time
50% of it converts into electrical energy = 50% of
Let be the number of bulbs n = 100 =
n = 50
A block of mass 2kg moving on a horizontal surface with speed of 4 ms-1 enters a rough surface ranging from x = 0.5m to x = 1.5m. The retarding force in this range of rough surface is related to distance by F = -kx where k = 12Nm-1. The speed of the block as it just crosses the rough surface will be:
A block of mass 2kg moving on a horizontal surface with speed of 4 ms-1 enters a rough surface ranging from x = 0.5m to x = 1.5m. The retarding force in this range of rough surface is related to distance by F = -kx where k = 12Nm-1. The speed of the block as it just crosses the rough surface will be:
A system to 10 balls each of mass 2kg are connected via massless and unstretchable string. The system is allowed to slip over the edge of a smooth in figure. Tension on the string between the 4th and 8th ball is_________N when 6th ball just leaves the table.
A system to 10 balls each of mass 2kg are connected via massless and unstretchable string. The system is allowed to slip over the edge of a smooth in figure. Tension on the string between the 4th and 8th ball is_________N when 6th ball just leaves the table.
12 g – T = 12 a- (1)
T – T’ = 2a- (2)
T’ = 6a- (3)
From (1) & (2)
12g – 12a – T’ = 2a- (4)
From (4) & (3)
12g – 12a – T’ = 14
A fighter jet is flying horizontally at a certain with a speed of 200ms-1. When it passes directly overhead ad anti-aircraft gun, a bullet is fired from the gun, at an angle q with the horizontal, to hit the jet. If the bullet speed is 400m/s, the value of q will be _____________.
A fighter jet is flying horizontally at a certain with a speed of 200ms-1. When it passes directly overhead ad anti-aircraft gun, a bullet is fired from the gun, at an angle q with the horizontal, to hit the jet. If the bullet speed is 400m/s, the value of q will be _____________.
B fighter jet

A anti-Air craft gun
Draw velocity diagram of A w.r.t. B
If A hits B
Then Relative velocity perpendicular to the line joining A to B will be zero.
That means 400 cos = 200
Arrange the four graphs in descending order of total work done; where W1, W2, W3 and W4 are the work done corresponding to figure a, b, c and d respectively.
(a) W3 > W2 > W1 >W4 (b) W3 > W2 > W4 > W1 (c) <!-- [if gte mso 9]><xml>
</xml><![endif]--> (d) W2 > W3 > W1 > W4
Arrange the four graphs in descending order of total work done; where W1, W2, W3 and W4 are the work done corresponding to figure a, b, c and d respectively.
(a) W3 > W2 > W1 >W4 (b) W3 > W2 > W4 > W1 (c) <!-- [if gte mso 9]><xml>
Work done represents are under
F vs x diagram
w3 > w2 > w1 > w4
A bullet of mass 200g having initial kinetic energy 90 J is shot inside a long swimming pool as shown in the figure. If it’s kinetic energy reduces to 40 J within 1s, the minimum length of the pool, the bullet has to travel so that it completely comes to rest is
A bullet of mass 200g having initial kinetic energy 90 J is shot inside a long swimming pool as shown in the figure. If it’s kinetic energy reduces to 40 J within 1s, the minimum length of the pool, the bullet has to travel so that it completely comes to rest is
m = 200 g, ki = 90 J kf = 40 J.,
So for complete rest :-
Fx = 90 J
2x = 90 x = 45 m




