the distance a spring will stretch varies directly with how much weight is attached to the spring. If a spring stretches 11 inch
1 answer:
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<h3><u>Given</u> :</h3>
Three identical resistors of resistances 5Ω, 10Ω and 30Ω are connected with a battery of 12V
We have to find current through the each resistor and equivalent resistance of circuit
➝ Equivalent resistance of series connection is given by
- <u>R = R1 + R2 + R3</u>
➝ We know that, Equal current flow through each resistor in series connection.
➝ As per ohm's law, Current flow through a conductor is directly proportional to the applied potential difference.
- <u>V = IR</u>
◈ <u>Equivalent resistance</u> :
⇒ Req = R1 + R2 + R3
⇒ Req = 5 + 10 + 30
⇒ <u>Req = 45Ω</u>
◈ <u>Current flow in circuit</u> :
⇒ V = IReq
⇒ 12 = I × 45
⇒ <u>I = 0.27A</u>
፨ Therefore, 0.27A current will flow through each resistor.
12) The weight of the plane is
13) The lift provided by the wing is
Explanation:
12)
The weight of an object is equal to the force of gravity acting on the object. Near the Earth's surface, it can be calculated as
where
W is the weight
m is the mass of the object
g is the acceleration of gravity
In this problem, we know that the mass of the plane is
m = 75 tonnes
Since 1 ton = 1000 kg, the mass in kg is
m = 75,000 kg
Also, the acceleration of gravity is
Therefore, the weight of the plane is:
13)
We can solve this question by applying Newton's second law along the vertical direction of motion. In fact, the net force acting along the vertical direction must be equal to the product between the mass of the plane and the vertical acceleration:
where
is the net force in the y-direction
m is the mass of the plane
is the acceleration in the y-direction
There are two forces acting in the vertical direction:
- The lift L, acting upward
- The weight W, acting downward
So the vertical net force is
And the equation becomes
Also, we know that the plane is travelling in level flight, which means that the vertical acceleration is zero:
Therefore, we get
And so the lift is
Learn more about forces:
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Answer:
Explanation:
The free body diagram of the block on the slide is shown in the below figure
Since the block is in equilibrium we apply equations of statics to compute the necessary unknown forces
N is the reaction force between the block and the slide
For equilibrium along x-axis we have
Using value of N from equation β in α we get value of force as
Applying values we get
