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Scrat [10]
3 years ago
6

A 166-g hockey puck is gliding across the ice at 24.5 m/s. A player whacks it with her stick, sending it moving at 39.1 m/s at 4

5.0∘ to its initial direction of motion.
What is the angle between the initial velocity of the puck and the force exerted on the puck?
If stick and puck are in contact for 136 ms, what is the magnitude of the average force that was exerted on the puck?
Physics
1 answer:
Lady_Fox [76]3 years ago
8 0

Answer:

θ = 83.5º,     F = 33.97  N

Explanation:

For this exercise we use Newton's second law that the resultant of the external forces is in the direction of the acceleration, therefore we look for the force for each axis

the initial velocity is on the x axis v₀ₓ = 24.5 m / s

let's break down the final velocity

           sin 45 = v_y / v

           cos 45 = vₓ / v

           v_y = v sin 45

           vₓ = v cos 45

            v_y = 39.1 sin 45 = 27.65 m / s

            vₓ = 39, 1cos 45 = 27.65 m / s

now let's use the ratio of momentum and amount of movement, for each exercise

        ∫ F dt = Δp

X axis

           Fₓ t = p_{fx} - p_{ox}

           Fₓ = m \frac{v_{fx} - v_{ox}  }{t}

           Fₓ = 166 10⁻³ (27.65 - 24.5) / 136 10⁻³

           Fₓ = 3.84  N

Y axis  

           F_y t = p_{fy} - p_{oy}

the initial velocity in the y axis is zero

           F_y = m \frac{v_{fy} }{t}

           Fy = 166 10⁻³  27.65 / 136 10⁻³  

           Fy = 33.75  N

Let's use the Pythagorean theorem to find the magnitude of the force

           F = \sqrt{F_x^2 + F_y^2}

            F = \sqrt{3.84^2 +33.75^2}

            F = 33.97  N

the direction is found using trigonometry

           tan θ = F_y / Fₓ

           θ = tan⁻¹ F_y / Fₓ

           θ = tan⁻¹ 33.75 / 3.84

           θ = 83.5º

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A fixed mass of gas has a volume of 25 cm³. The pressure of the gas is 100 kPa.
tekilochka [14]

Answer:

67 kPa

Explanation:

Given that,

Initial volume, V₁ = 25 cm³

Initial pressure, P₁ = 100 kPa

Final volume, V₂ = 15 cm³

We need to find the change in pressure of the gas. The relation between the volume and pressure of a gas is given by :

P\propto \dfrac{1}{V}\\\\\dfrac{P_1}{P_2}=\dfrac{V_2}{V_1}\\\\P_2=\dfrac{P_1V_1}{V_2}\\\\P_2=\dfrac{100\times 25}{15}\\\\=166.66\ kPa

or

= 167 kPa

The change in pressure,

= P₂ - P₁

= 167 kPa - 100 kPa

= 67 kPa

Hence, the correct option is (a).

7 0
2 years ago
A searchlight is 210 ft from a straight wall. As the beam moves along the​ wall, the angle between the beam and the perpendicula
Ivenika [448]

Answer:

The length of the beam increasing is 9.64 ft/s.

Explanation:

Given that,

Height = 210 ft

Distance =290 ft

According to figure,

We need to calculate the angle

\cos\theta=\dfrac{210}{x}....(I)

Put the value of x in the equation

\cos\theta=\dfrac{210}{290}

\cos\theta=\dfrac{21}{29}=0.72

Now, \sin\theta=\dfrac{20}{29}

On differentiate of equation (I)

-\sin\theta\dfrac{d\theta}{dt}=-\dfrac{-210}{x^2}\dfrac{dx}{dt}

\sin\theta=\dfrac{210}{x^2}\dfrac{dx}{dt}

Put the value in the equation

\sin\dfrac{20}{29}\times2.0=\dfrac{210}{(290)^2}\dfrac{dx}{dt}

\dfrac{dx}{dt}=\sin\dfrac{20}{29}\times2.0\times\dfrac{290^2}{210}

\dfrac{dx}{dt}=9.64\ ft/s

Hence, The length of the beam increasing is 9.64 ft/s.

4 0
3 years ago
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Answer:

Explanation:

Assuming the ground is level as well.

F = ma

a = F/m

a = (2000 - 350) / 1500

a = 1.1 m/s²

7 0
2 years ago
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Nimfa-mama [501]

Answer:

Explanation:

W = FΔx so filling in:

12 = F(30) so

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7 0
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