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olganol [36]
3 years ago
12

A student buys a plastic dart gun and tries to find the maximum horizontal range. The student shoots the gun straight up and it

takes 3.7 seconds for the dart to return back to the height of the barrel. What is the maximum horizontal range of the gun?
Physics
1 answer:
ryzh [129]3 years ago
6 0

Answer:

The value is R_{max}  = 33.54 \  m

Explanation:

From the question we are told that

    The total time of flight is  t =  3.7 \  s

Generally from kinematic equation

        v  =  u -   g * \frac{t}{2}

So v is the velocity at maximum height and the value is  v = 0 m/s

So

       0   =  u -   9.8 * \frac{ 3.7}{2}

=>   u  =  18.13  \  m/s

Here u  is the initial velocity of the dart as it leaves that gun  

Gnerally the horizontal range of the dart is mathematically represented as

         R  =  \frac{u ^2 sin 2\theta }{g}

For maximum horizontal range the value of  \theta  =  45^o        

So

         R_{max}  =  \frac{ 18.13 ^2 sin 2(45) }{9.8}

=>     R_{max}  = 33.54 \  m

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What fraction of the water must evaporate to remove precisely enough energy to keep the temperature constant? water at 37°c has
mart [117]

The fraction of the water must evaporate to remove precisely enough energy to keep the temperature constant when water at 37°c has a latent heat of vaporization of lv = 580 kcal/kg is 2.58 times 10 to the minus 3.

Vaporization is the process by which a substance is transformed from its liquid or solid state into its gaseous (vapour) state. Boiling is the term for the vaporization process when conditions permit the creation of vapour bubbles within a liquid. Sublimation is the process of directly converting a solid to a liquid.

Boiling and evaporation are the two processes that cause vaporization. Evaporation is the process by which a liquid body's surface changes from a liquid to a gas, as in the case of a drop of water on hot concrete evaporating into a gas. A liquid is said to be boiling when it is heated to the point at which it begins to give off steam, as when you boil water on a stove. The process of converting a substance from its liquid or solid state into its gaseous (vapour) state is known as vaporization.

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5 0
2 years ago
Due to an influx of wild animals, you need to enclose your garden. You have 500 feet of fencing and will enclose the garden on t
elena55 [62]

Answer:

so  length of the fence  is 250 feet

Explanation:

Given data

fencing (L) = 500 feet

enclose the garden = 3 sides

to find out

length of the fence

solution

we consider barn length x and width y

so we say  x +2y = 500   ........1

we want to maximize length i.e xy = f

so we say

df/dx = ƛ × dL/dx

y =  ƛ × 1

and

df/dy = ƛ × df/dy

x = ƛ × 2

from equation 1 we can say

2 ƛ + 2 ƛ = 500

so  ƛ = 500/4 = 125

so that x = 2× 125 ,  y = 125

so x = 250 , y = 125

so  length of the fence  is 250 feet

3 0
4 years ago
A 50-cm wire placed in an east-west direction is moved horizontally to the north with a speed of 2.0 m/s. the horizontal compone
Strike441 [17]

When a wire is moved inside uniform magnetic field then its free electrons will experience magnetic force on it due to which wire will have potential difference at its ends.

Now here we will have magnetic field due to earth and wire is moving in this constant field so induced emf is given by formula

EMF = v.(B x L)

given that

B = 25\mu Tj - 50\mu Tk

v = 2 m/s j

L = 0.50 m (-i)

now by using the above formula we will have

EMF = 2(j) .(25\mu j - 50\mu k) x (-0.50 i)

EMF = 2(j) .(12.5\mu k + 25\mu j)

EMF = 50 \mu Volts

5 0
3 years ago
Read 2 more answers
A 1 000-V battery, a 3 000-Ω resistor, and a 0.50-μF capacitor are connected in series with a switch. The time constant for such
vampirchik [111]

Answer:

The current in the circuit at a time interval of τ seconds after the switch has been closed is 0.123 A

Explanation:

The time constant for an R and C in series circuit is given by τ = RC.

R = 3000 ohms, C = 0.5 × 10⁻⁶ F = 5.0 × 10⁻⁷ F

τ = 3000 × 5 × 10⁻⁷ = 0.015 s

The voltage across a capacitor as it charges is given be

V(t) = Vs (1 - e⁻ᵏᵗ)

where k = 1/τ

At the point when t = τ, the expassion becomes

V(t = τ) = 1000 (1 - e⁻¹) = 0.632 × 1000 = 632 V

Current flows as a result of potential difference,.

Current in the circuit at this time t =  τ is given by

I = (Vs - Vc)/R

Vs = source voltage = 1000 V

Vc = Voltage across the capacitor = 632 V

R = 3000 ohms

I = (1000 - 632)/3000 = 0.123 A

6 0
4 years ago
Assume you are going to race the three objects (hollow sphere, disk and ring used in Experiment 8.2) by releasing them from rest
Ann [662]

Answer:

a. The disk

b. Because it has the smallest rotational inertia

Explanation:

a. Which object do you expect to reach the bottom of the inclined plan first?

I would expect the disk to reach the bottom first.

b. Why?

This is because the disk has the smallest rotational inertia.

The rotational inertial of the hollow sphere, disk and ring are 2/3MR², 1/2MR² and MR² respectively.

Since the three objects are rolling from the same height, they have the same mechanical energy.

But, since the disk has the smallest rotational inertia, it would have the smallest rotational kinetic energy and largest translational kinetic energy.  The disk's smaller rotational kinetic energy will cause  to rotate less but translate more than the other objects and thus reach the bottom first.

7 0
3 years ago
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