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Mama L [17]
4 years ago
5

A spring with a spring constant of 23.6 N/m has a mass attached that exerts a force of 6.28 Newtons. What is the displacement?

Physics
1 answer:
Ostrovityanka [42]4 years ago
7 0

Answer:

26.6 cm

Explanation:

We are given that

Spring constant=23.6 N/m

Force exert=6.28 N

We have to find the displacement.

We know that Hooke's law

F=kx

Where k= Spring constant

x=Displacement

Using the formula

Then, we get

6.28=23.6 x

x=\frac{6.28}{23.6}=0.266m

We know that 1 m=100 cm

x=0.266\times 100=26.6 cm

Hence, the displacement =26.6 cm

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An air-filled parallel-plate capacitor is connected to a battery and allowed to charge up. Now a slab of dielectric material is
natita [175]

Answer:

The charge on the capacitor had increased

Explanation:

The expression for the capacitance of an air-filled parallel-plate capacitor is as follows as;

C=\frac{\epsilon _{0}A}{d}  

Here, C is the capacitance, \epsilon _{0} is the permittivity of free space, A is the area and d is the distance between the parallel plate capacitor.

When a slab of dielectric material is placed between the plates of the capacitor then the expression for the capacitance is as follows;

C=\frac{K\epsilon _{0}A}{d}

Here, K is the dielectric constant.

In the given problem, a slab is inserted between the plates of the capacitor then the capacitance of the capacitor will increase in this case. Therefore, the option (a) is true.

The expression for the charge stored in the capacitor is as;

Q= CV

Here, Q is the charge and V is the potential.

The charge will also increase in this case as the charge stored in the capacitor is directly proportional to the capacitance. Therefore, the option (d) is not true.

The expression for the energy stored in the capacitor is as follows;

E=\frac{CV^{2}}{2}

The voltage is constant in the given problem but the capacitance increases then the energy stored in the capacitor will increase. Therefore, the option (b) is not true.

The voltage across the capacitor will remain same as the capacitor is still connected to the battery. Therefore, the option (c) is not true.

Therefore, only option (a) is true.

3 0
3 years ago
When its 75 kW (100 hp) engine is generating full power, a small single-engine airplane with mass 700 kg gains altitude at a rat
svlad2 [7]

Answer:

343/1500

Explanation:

Power: This can be defined as the product force and velocity. The S.I unit of power is Watt (w).

From the question,

P' = mg×v................. Equation 1

Where P' = power used to gain an altitude, m = mass of the engine, g = acceleration due to gravity of the engine, v = velocity of the engine.

Given: m = 700 kg, v = 2.5 m/s, g = 9.8 m/s²

Substitute into equation 1

P' = 700(2.5)(9.8)

P' = 17150 W.

If the full power generated by the engine = 75000 W

The fraction of the engine power used to make the climb = 17150/75000

= 343/1500

8 0
3 years ago
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