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2 years ago

A dart gun consists of a horizontal spring with k = 52 Newtons/m that is compressed 43

Physics

1 answer:

gulaghasi [49]2 years ago

7 0

Answer:

$299 m/s^2$

Explanation:

When a spring is compressed, the force exerted by the spring is given by:

$F=kx$

where

k is the spring constant

x is the compression of the spring

In this problem we have:

k = 52 N/m is the spring constant

x = 43 cm = 0.43 m is the compression

Therefore, the force exerted by the spring on the dart is

$F=(52)(0.43)=22.4 N$

Now we can apply Newton' second law of motion to calculate the acceleration of the dart:

$F=ma$

where

F = 22.4 N is the force exerted on the dart by the spring

m = 75 g = 0.075 kg is the mass of the dart

a is its acceleration

Solving for a,

$a=\frac{F}{m}=\frac{22.4}{0.075}=299 m/s^2$

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Let's practice calculating the frictional force of a skier on old "woody" skis and wet snow. The skier has a mass of 58 kg. The

kicyunya [14]

Answer:

Kinetic frictional force will be equal to 56.84 N

Explanation:

We have given mass of the skier m = 58 kg

Acceleration due to gravity $g=9.8m/sec^2$

Coefficient of kinetic friction $\mu _k=0.1$

We have to find the kinetic frictional force

Kinetic frictional force is given by

$F_K=\mu _Kmg=0.1\times 58\times 9.8=56.84N$

So kinetic frictional force will be equal to 56.84 N

8 0

3 years ago

Please help ASAP please ASAP

alina1380 [7]

The answer to your question is 185

5 0

2 years ago

What is the speed of the object in the graph? Explain

Nikolay [14]

Answer:

0.8m per second

Explanation:

we measure speed as distance over time

distance=8m

time=10s

therefore speed = 8/10

=0.8m per second

5 0

2 years ago

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A coil with an inductance of 2.3 H and a resistance of 14 Ω is suddenly connected to an ideal battery with ε = 100 V. At 0.13 s

klemol [59]

Given Information:

Resistance = R = 14 Ω

Inductance = L = 2.3 H

voltage = V = 100 V

time = t = 0.13 s

Required Information:

(a) energy is being stored in the magnetic field

(b) thermal energy is appearing in the resistance

Answer:

(a) energy is being stored in the magnetic field ≈ 219 watts

(b) thermal energy is appearing in the resistance ≈ 267 watts

Explanation:

The energy stored in the inductor is given by

$U = \frac{1}{2} Li^{2}$

The rate at which the energy is being stored in the inductor is given by

$\frac{dU}{dt} = Li\frac{di}{dt} \: \: \: \: eq. 1$

The current through the RL circuit is given by

$i = \frac{V}{R} (1-e^{-\frac{t}{ \tau} })$

Where τ is the the time constant and is given by

$\tau = \frac{L}{R}\\ \tau = \frac{2.3}{14}\\ \tau = 0.16$

$i = \frac{110}{14} (1-e^{-\frac{t}{ 0.16} })\\i = 7.86(1-e^{-6.25t})\\\frac{di}{dt} = 49.125e^{-6.25t}$

Therefore, eq. 1 becomes

$\frac{dU}{dt} = (2.3)(7.86(1-e^{-6.25t}))(49.125e^{-6.25t})$

At t = 0.13 seconds

$\frac{dU}{dt} = (2.3) (4.37) (21.8)\\\frac{dU}{dt} = 219.11 \: watts$

(b) thermal energy is appearing in the resistance

The thermal energy is given by

$P = i^{2}R\\P = (7.86(1-e^{-6.25t}))^{2} \cdot 14\\P = (4.37)^{2}\cdot 14\\P = 267.35 \: watts$

The energy delivered by battery is

$P = Vi\\P = 110\cdot 4.37\\P = 481 \: watts$

4 0

3 years ago

what is the force that opposes the movement of two surfaces that are in contact and are sliding over each other? and it is not f

SCORPION-xisa [38]

Answer:

Friction

Explanation: is the force that opposes motion between any surfaces that are in contact. There are four types of friction: static, sliding, rolling, and fluid friction. Static friction acts on objects when they are resting on a surface.Nov 3, 2021

7 0

1 year ago

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